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Yichun Chi

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Yichun Chi & Jiakun Zheng & Shengchao Zhuang, 2022. "S-shaped narrow framing, skewness and the demand for insurance," Post-Print hal-04227435, HAL.

    Cited by:

    1. Jiakun Zheng & Yanyin Li, 2024. "The role of loss aversion in shaping environmental relocation decisions," Post-Print hal-04991151, HAL.
    2. Jiakun Zheng & Yanyin Li, 2024. "The role of loss aversion in shaping environmental relocation decisions," Economics Bulletin, AccessEcon, vol. 44(4), pages 1263-1270.
    3. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    4. Yichun Chi & Tao Hu & Zhengtang Zhao & Jiakun Zheng, 2024. "Optimal insurance design under asymmetric Nash bargaining," Post-Print hal-04718332, HAL.
    5. Boonen, Tim J. & Han, Xia, 2024. "Optimal insurance with mean-deviation measures," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 1-24.
    6. Jiakun Zheng & Ling Zhou, 2025. "Too risky to hedge: An experiment on narrow bracketing," Post-Print hal-05063379, HAL.
    7. Tim J. Boonen & Xia Han, 2023. "Optimal insurance with mean-deviation measures," Papers 2312.01813, arXiv.org.

  2. Yichun Chi & Zuo Quan Xu & Sheng Chao Zhuang, 2021. "Distributionally robust goal-reaching optimization in the presence of background risk," Papers 2108.04464, arXiv.org, revised Dec 2021.

    Cited by:

    1. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.

Articles

  1. Chi, Yichun & Hu, Tao & Huang, Yuxia, 2023. "Optimal risk management with reinsurance and its counterparty risk hedging," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 274-292.

    Cited by:

    1. Xuelian Li & Shiu-Chieh Chiu & Jyh-Horng Lin & Yuxin Xie, 2024. "Assessing insurer guarantee cover and risk retention toward SDG 3: a structure-break down-and-out call valuation," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-10, December.
    2. Iuga, Iulia Cristina & Mudakkar, Syeda Rabab & Dragolea, Larisa Loredana, 2024. "Agricultural commodities market reaction to COVID-19," Research in International Business and Finance, Elsevier, vol. 69(C).
    3. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.

  2. Chi, Yichun & Zhuang, Sheng Chao, 2022. "Regret-based optimal insurance design," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 22-41.

    Cited by:

    1. Corina Birghila & Tim J. Boonen & Mario Ghossoub, 2023. "Optimal insurance under maxmin expected utility," Finance and Stochastics, Springer, vol. 27(2), pages 467-501, April.
    2. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    3. Hao Pan & Guo-liang Yang & Xiao-lei Chen & Yuan-yu Lou & Teng Wang & Zhong-cheng Guan, 2024. "Regret cross-efficiency evaluation using attitudinal entropy approach," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-17, December.
    4. Zhuo Jin & Zuo Quan Xu & Bin Zou, 2023. "Optimal moral-hazard-free reinsurance under extended distortion premium principles," Papers 2304.08819, arXiv.org.
    5. Boonen, Tim J. & Han, Xia, 2024. "Optimal insurance with mean-deviation measures," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 1-24.
    6. Tim J. Boonen & Xia Han, 2023. "Optimal insurance with mean-deviation measures," Papers 2312.01813, arXiv.org.

  3. Chi, Yichun & Zheng, Jiakun & Zhuang, Shengchao, 2022. "S-shaped narrow framing, skewness and the demand for insurance," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 279-292.
    See citations under working paper version above.
  4. Yichun Chi & Zuo Quan Xu & Sheng Chao Zhuang, 2022. "Distributionally Robust Goal-Reaching Optimization in the Presence of Background Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 26(3), pages 351-382, August.
    See citations under working paper version above.
  5. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.

    Cited by:

    1. Xuelian Li & Shiu-Chieh Chiu & Jyh-Horng Lin & Yuxin Xie, 2024. "Assessing insurer guarantee cover and risk retention toward SDG 3: a structure-break down-and-out call valuation," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-10, December.

  6. Chi, Yichun & Tan, Ken Seng, 2021. "Optimal Incentive-Compatible Insurance With Background Risk," ASTIN Bulletin, Cambridge University Press, vol. 51(2), pages 661-688, May.

    Cited by:

    1. Boonen, Tim J. & Jiang, Wenjun, 2022. "Bilateral risk sharing in a comonotone market with rank-dependent utilities," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 361-378.
    2. Chen, Yanhong & Cheung, Ka Chun & Zhang, Yiying, 2024. "Bowley solution under the reinsurer's default risk," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 36-61.
    3. Ernest Aboagye & Vali Asimit & Tsz Chai Fung & Liang Peng & Qiuqi Wang, 2024. "A Revisit of the Optimal Excess-of-Loss Contract," Papers 2405.00188, arXiv.org.
    4. Aboagye, Ernest & Asimit, Vali & Fung, Tsz Chai & Peng, Liang & Wang, Qiuqi, 2025. "A revisit of the optimal excess-of-loss contract," European Journal of Operational Research, Elsevier, vol. 322(1), pages 341-354.
    5. Ghossoub, Mario & Jiang, Wenjun & Ren, Jiandong, 2022. "Pareto-optimal reinsurance under individual risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 307-325.

  7. Asimit, Alexandru V. & Boonen, Tim J. & Chi, Yichun & Chong, Wing Fung, 2021. "Risk sharing with multiple indemnity environments," European Journal of Operational Research, Elsevier, vol. 295(2), pages 587-603.

    Cited by:

    1. Wing Fung Chong & Gechun Liang, 2024. "Robust forward investment and consumption under drift and volatility uncertainties: A randomization approach," Papers 2410.01378, arXiv.org, revised Sep 2025.
    2. Acciaio, Beatrice & Albrecher, Hansjörg & Flores, Brandon García, 2025. "Optimal reinsurance from an optimal transport perspective," Insurance: Mathematics and Economics, Elsevier, vol. 122(C), pages 194-213.
    3. Tim J. Boonen & Wing Fung Chong & Mario Ghossoub, 2024. "Pareto‐efficient risk sharing in centralized insurance markets with application to flood risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 91(2), pages 449-488, June.
    4. Felix-Benedikt Liebrich, 2021. "Risk sharing under heterogeneous beliefs without convexity," Papers 2108.05791, arXiv.org, revised May 2022.
    5. Hanbali, Hamza, 2025. "Mean-variance longevity risk-sharing for annuity contracts," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 207-235.
    6. Felix-Benedikt Liebrich, 2024. "Risk sharing under heterogeneous beliefs without convexity," Finance and Stochastics, Springer, vol. 28(4), pages 999-1033, October.
    7. Boonen, Tim J. & Jiang, Wenjun, 2022. "A marginal indemnity function approach to optimal reinsurance under the Vajda condition," European Journal of Operational Research, Elsevier, vol. 303(2), pages 928-944.
    8. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.
    9. Lee, Hangsuck & Lee, Minha & Hong, Jimin, 2022. "Optimal insurance under moral hazard in loss reduction," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
    10. Lee, Hangsuck & Ha, Hongjun & Lee, Minha, 2024. "A sharing rule for multi-period interest-sensitive insurance contracts," The North American Journal of Economics and Finance, Elsevier, vol. 71(C).
    11. Claire Mouminoux & Christophe Dutang & Stéphane Loisel & Hansjoerg Albrecher, 2022. "On a Markovian Game Model for Competitive Insurance Pricing," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1061-1091, June.
    12. Mario Ghossoub & Michael B. Zhu & Wing Fung Chong, 2024. "Pareto-Optimal Peer-to-Peer Risk Sharing with Robust Distortion Risk Measures," Papers 2409.05103, arXiv.org.
    13. Peng Liu & Andreas Tsanakas & Yunran Wei, 2024. "Risk sharing with Lambda value at risk under heterogeneous beliefs," Papers 2408.03147, arXiv.org, revised Aug 2025.

  8. Chi, Yichun & Tan, Ken Seng & Zhuang, Sheng Chao, 2020. "A Bowley solution with limited ceded risk for a monopolistic reinsurer," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 188-201.

    Cited by:

    1. Ziyue Shi & David Landriault & Fangda Liu, 2024. "Performance-based variable premium scheme and reinsurance design," Papers 2412.01704, arXiv.org, revised Jul 2025.
    2. Chen, Yanhong & Cheung, Ka Chun & Zhang, Yiying, 2024. "Bowley solution under the reinsurer's default risk," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 36-61.
    3. Chi, Yichun & Zhou, Xun Yu & Zhuang, Sheng Chao, 2024. "Variance insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 62-82.
    4. Ghossoub, Mario & Li, Bin & Shi, Benxuan, 2025. "Bowley-optimal convex-loaded premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 121(C), pages 157-180.
    5. Boonen, Tim J. & Ghossoub, Mario, 2023. "Bowley vs. Pareto optima in reinsurance contracting," European Journal of Operational Research, Elsevier, vol. 307(1), pages 382-391.
    6. Li, Danping & Young, Virginia R., 2022. "Stackelberg differential game for reinsurance: Mean-variance framework and random horizon," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 42-55.

  9. Yichun Chi & Wei Wei, 2020. "Optimal insurance with background risk: An analysis of general dependence structures," Finance and Stochastics, Springer, vol. 24(4), pages 903-937, October.

    Cited by:

    1. Yichun Chi & Zuo Quan Xu & Sheng Chao Zhuang, 2022. "Distributionally Robust Goal-Reaching Optimization in the Presence of Background Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 26(3), pages 351-382, August.
    2. Boonen, Tim J. & Jiang, Wenjun, 2022. "Bilateral risk sharing in a comonotone market with rank-dependent utilities," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 361-378.
    3. Chi, Yichun & Peter, Richard & Wei, Wei, 2025. "On the optimality of straight deductibles under smooth ambiguity aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 234(C).
    4. Asimit, Alexandru V. & Boonen, Tim J. & Chi, Yichun & Chong, Wing Fung, 2021. "Risk sharing with multiple indemnity environments," European Journal of Operational Research, Elsevier, vol. 295(2), pages 587-603.
    5. Yichun Chi & Xun Yu Zhou & Sheng Chao Zhuang, 2020. "Variance Contracts," Papers 2008.07103, arXiv.org.
    6. Chi, Yichun & Zhou, Xun Yu & Zhuang, Sheng Chao, 2024. "Variance insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 62-82.
    7. Corina Birghila & Tim J. Boonen & Mario Ghossoub, 2023. "Optimal insurance under maxmin expected utility," Finance and Stochastics, Springer, vol. 27(2), pages 467-501, April.
    8. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel & Heras, Antonio, 2022. "Risk transference constraints in optimal reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 27-40.
    9. Chi, Yichun & Zhuang, Sheng Chao, 2022. "Regret-based optimal insurance design," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 22-41.
    10. Vincent, Léonard & Albrecher, Hansjörg & Krvavych, Yuriy, 2021. "Structured reinsurance deals with reference to relative market performance," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 125-139.
    11. Qiqi Li & Wei Wang & Yiying Zhang, 2024. "Self-protection and insurance demand with convex premium principles," Papers 2411.19436, arXiv.org, revised Feb 2025.
    12. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.
    13. Chi, Yichun & Hu, Tao & Huang, Yuxia, 2023. "Optimal risk management with reinsurance and its counterparty risk hedging," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 274-292.
    14. Sun, Huan & Wang, Haiyan & Steffensen, Sonja, 2022. "Mechanism design of multi-strategy health insurance plans under asymmetric information," Omega, Elsevier, vol. 107(C).
    15. Ghossoub, Mario & Jiang, Wenjun & Ren, Jiandong, 2022. "Pareto-optimal reinsurance under individual risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 307-325.

  10. Jun Cai & Yichun Chi, 2020. "Optimal reinsurance designs based on risk measures: a review," Statistical Theory and Related Fields, Taylor & Francis Journals, vol. 4(1), pages 1-13, July.

    Cited by:

    1. Liang, Zongxia & Xia, Yi & Zou, Bin, 2024. "A two-layer stochastic game approach to reinsurance contracting and competition," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 226-237.
    2. Jin, Yuanmin & Jin, Zhuo & Wei, Jiaqin, 2025. "Insurance contract for electric vehicle charging stations: A Stackelberg game-theoretic approach," Insurance: Mathematics and Economics, Elsevier, vol. 122(C), pages 61-81.
    3. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    4. Tim J. Boonen & Yuyu Chen & Xia Han & Qiuqi Wang, 2024. "Optimal insurance design with Lambda-Value-at-Risk," Papers 2408.09799, arXiv.org, revised Aug 2025.
    5. Zang, Xin & Jiang, Fan & Xia, Chenxi & Yang, Jingping, 2024. "Random distortion risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 116(C), pages 51-73.
    6. Hirbod Assa & Peng Liu, 2024. "Factor risk measures," Papers 2404.08475, arXiv.org.
    7. Vincent, Léonard & Albrecher, Hansjörg & Krvavych, Yuriy, 2021. "Structured reinsurance deals with reference to relative market performance," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 125-139.
    8. George Woodman & Ruben S. Andrist & Thomas Haner & Damian S. Steiger & Martin J. A. Schuetz & Helmut G. Katzgraber & Marcin Detyniecki, 2025. "Modern Computational Methods in Reinsurance Optimization: From Simulated Annealing to Quantum Branch & Bound," Papers 2504.16530, arXiv.org, revised Apr 2025.
    9. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.
    10. Tang, Qihe & Tong, Zhiwei & Xun, Li, 2022. "Portfolio risk analysis of excess of loss reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 91-110.
    11. Boonen, Tim J. & Jiang, Wenjun, 2025. "Pareto-optimal insurance under robust distortion risk measures," European Journal of Operational Research, Elsevier, vol. 324(2), pages 690-705.
    12. Benjamin Avanzi & Hayden Lau & Mogens Steffensen, 2022. "Optimal reinsurance design under solvency constraints," Papers 2203.16108, arXiv.org, revised Jun 2023.
    13. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    14. Zhuo Jin & Zuo Quan Xu & Bin Zou, 2023. "Optimal moral-hazard-free reinsurance under extended distortion premium principles," Papers 2304.08819, arXiv.org.
    15. Qiuqi Wang & Ruodu Wang & Ricardas Zitikis, 2021. "Risk measures induced by efficient insurance contracts," Papers 2109.00314, arXiv.org, revised Sep 2021.
    16. Wang, Qiuqi & Wang, Ruodu & Zitikis, Ričardas, 2022. "Risk measures induced by efficient insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 56-65.
    17. Boonen, Tim J. & Han, Xia, 2024. "Optimal insurance with mean-deviation measures," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 1-24.
    18. Boonen, Tim J. & Jiang, Wenjun, 2024. "Robust insurance design with distortion risk measures," European Journal of Operational Research, Elsevier, vol. 316(2), pages 694-706.
    19. Yang Shen & Bin Zou, 2021. "Mean-Variance Investment and Risk Control Strategies -- A Time-Consistent Approach via A Forward Auxiliary Process," Papers 2101.03954, arXiv.org.
    20. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.
    21. Shen, Yang & Zou, Bin, 2021. "Mean–variance investment and risk control strategies — A time-consistent approach via a forward auxiliary process," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 68-80.
    22. Boonen, Tim J. & Jiang, Wenjun, 2025. "Distributionally robust insurance under the Wasserstein distance," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 61-78.
    23. Jean-Gabriel Lauzier, 2021. "Insurance design and arson-type risks," Papers 2112.06817, arXiv.org.
    24. Zongxia Liang & Yi Xia & Bin Zou, 2024. "A Two-layer Stochastic Game Approach to Reinsurance Contracting and Competition," Papers 2405.06235, arXiv.org, revised Sep 2024.
    25. Cao, Jingyi & Li, Dongchen & Young, Virginia R. & Zou, Bin, 2023. "Reinsurance games with two reinsurers: Tree versus chain," European Journal of Operational Research, Elsevier, vol. 310(2), pages 928-941.

  11. Jun Cai & Yichun Chi, 2020. "Responses to discussions on ‘Optimal reinsurance designs based on risk measures: a review’," Statistical Theory and Related Fields, Taylor & Francis Journals, vol. 4(1), pages 26-27, July.

    Cited by:

    1. Liang, Zongxia & Xia, Yi & Zou, Bin, 2024. "A two-layer stochastic game approach to reinsurance contracting and competition," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 226-237.
    2. Jin, Yuanmin & Jin, Zhuo & Wei, Jiaqin, 2025. "Insurance contract for electric vehicle charging stations: A Stackelberg game-theoretic approach," Insurance: Mathematics and Economics, Elsevier, vol. 122(C), pages 61-81.
    3. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    4. Tim J. Boonen & Yuyu Chen & Xia Han & Qiuqi Wang, 2024. "Optimal insurance design with Lambda-Value-at-Risk," Papers 2408.09799, arXiv.org, revised Aug 2025.
    5. Zang, Xin & Jiang, Fan & Xia, Chenxi & Yang, Jingping, 2024. "Random distortion risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 116(C), pages 51-73.
    6. Hirbod Assa & Peng Liu, 2024. "Factor risk measures," Papers 2404.08475, arXiv.org.
    7. Vincent, Léonard & Albrecher, Hansjörg & Krvavych, Yuriy, 2021. "Structured reinsurance deals with reference to relative market performance," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 125-139.
    8. George Woodman & Ruben S. Andrist & Thomas Haner & Damian S. Steiger & Martin J. A. Schuetz & Helmut G. Katzgraber & Marcin Detyniecki, 2025. "Modern Computational Methods in Reinsurance Optimization: From Simulated Annealing to Quantum Branch & Bound," Papers 2504.16530, arXiv.org, revised Apr 2025.
    9. Zongxia Liang & Zhaojie Ren & Bin Zou, 2025. "Optimal Insurance under Endogenous Default and Background Risk," Papers 2501.05672, arXiv.org.
    10. Tang, Qihe & Tong, Zhiwei & Xun, Li, 2022. "Portfolio risk analysis of excess of loss reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 91-110.
    11. Boonen, Tim J. & Jiang, Wenjun, 2025. "Pareto-optimal insurance under robust distortion risk measures," European Journal of Operational Research, Elsevier, vol. 324(2), pages 690-705.
    12. Benjamin Avanzi & Hayden Lau & Mogens Steffensen, 2022. "Optimal reinsurance design under solvency constraints," Papers 2203.16108, arXiv.org, revised Jun 2023.
    13. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    14. Zhuo Jin & Zuo Quan Xu & Bin Zou, 2023. "Optimal moral-hazard-free reinsurance under extended distortion premium principles," Papers 2304.08819, arXiv.org.
    15. Qiuqi Wang & Ruodu Wang & Ricardas Zitikis, 2021. "Risk measures induced by efficient insurance contracts," Papers 2109.00314, arXiv.org, revised Sep 2021.
    16. Wang, Qiuqi & Wang, Ruodu & Zitikis, Ričardas, 2022. "Risk measures induced by efficient insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 56-65.
    17. Boonen, Tim J. & Han, Xia, 2024. "Optimal insurance with mean-deviation measures," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 1-24.
    18. Boonen, Tim J. & Jiang, Wenjun, 2024. "Robust insurance design with distortion risk measures," European Journal of Operational Research, Elsevier, vol. 316(2), pages 694-706.
    19. Yang Shen & Bin Zou, 2021. "Mean-Variance Investment and Risk Control Strategies -- A Time-Consistent Approach via A Forward Auxiliary Process," Papers 2101.03954, arXiv.org.
    20. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.
    21. Shen, Yang & Zou, Bin, 2021. "Mean–variance investment and risk control strategies — A time-consistent approach via a forward auxiliary process," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 68-80.
    22. Boonen, Tim J. & Jiang, Wenjun, 2025. "Distributionally robust insurance under the Wasserstein distance," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 61-78.
    23. Zongxia Liang & Yi Xia & Bin Zou, 2024. "A Two-layer Stochastic Game Approach to Reinsurance Contracting and Competition," Papers 2405.06235, arXiv.org, revised Sep 2024.
    24. Cao, Jingyi & Li, Dongchen & Young, Virginia R. & Zou, Bin, 2023. "Reinsurance games with two reinsurers: Tree versus chain," European Journal of Operational Research, Elsevier, vol. 310(2), pages 928-941.

  12. Chi, Yichun & Zhuang, Sheng Chao, 2020. "Optimal insurance with belief heterogeneity and incentive compatibility," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 104-114.

    Cited by:

    1. Yichun Chi & Zuo Quan Xu & Sheng Chao Zhuang, 2022. "Distributionally Robust Goal-Reaching Optimization in the Presence of Background Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 26(3), pages 351-382, August.
    2. Boonen, Tim J. & Jiang, Wenjun, 2022. "Bilateral risk sharing in a comonotone market with rank-dependent utilities," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 361-378.
    3. Ka Chun Cheung & Sheung Chi Phillip Yam & Fei Lung Yuen & Yiying Zhang, 2025. "Optimal design of reinsurance contracts under adverse selection with a continuum of types," Papers 2504.17468, arXiv.org.
    4. Jiang, Wenjun & Hong, Hanping & Ren, Jiandong, 2021. "Pareto-optimal reinsurance policies with maximal synergy," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 185-198.
    5. Xiaoqing Liang & Ruodu Wang & Virginia Young, 2021. "Optimal Insurance to Maximize RDEU Under a Distortion-Deviation Premium Principle," Papers 2107.02656, arXiv.org, revised Feb 2022.
    6. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    7. Zhuo Jin & Zuo Quan Xu & Bin Zou, 2023. "Optimal moral-hazard-free reinsurance under extended distortion premium principles," Papers 2304.08819, arXiv.org.
    8. Junyi Guo & Xia Han & Hao Wang, 2025. "Dynamic reinsurance design with heterogeneous beliefs under the mean-variance framework," Papers 2502.05474, arXiv.org, revised Aug 2025.
    9. Ghossoub, Mario & Jiang, Wenjun & Ren, Jiandong, 2022. "Pareto-optimal reinsurance under individual risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 307-325.

  13. Chi, Yichun, 2019. "On The Optimality Of A Straight Deductible Under Belief Heterogeneity," ASTIN Bulletin, Cambridge University Press, vol. 49(1), pages 243-262, January.

    Cited by:

    1. Chi, Yichun & Zhuang, Sheng Chao, 2020. "Optimal insurance with belief heterogeneity and incentive compatibility," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 104-114.
    2. Asimit, Alexandru V. & Cheung, Ka Chun & Chong, Wing Fung & Hu, Junlei, 2020. "Pareto-optimal insurance contracts with premium budget and minimum charge constraints," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 17-27.
    3. Yichun Chi & Xun Yu Zhou & Sheng Chao Zhuang, 2020. "Variance Contracts," Papers 2008.07103, arXiv.org.
    4. Ghossoub, Mario, 2019. "Budget-constrained optimal insurance with belief heterogeneity," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 79-91.
    5. Chi, Yichun & Zhou, Xun Yu & Zhuang, Sheng Chao, 2024. "Variance insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 62-82.
    6. Corina Birghila & Tim J. Boonen & Mario Ghossoub, 2023. "Optimal insurance under maxmin expected utility," Finance and Stochastics, Springer, vol. 27(2), pages 467-501, April.
    7. Éric Vansteenberghe, 2024. "Insurance Supervision under Climate Change: A Pioneers Detection Method [La supervision des assurances lorsque le climat est bouleversé : une Méthode de Détection des Pionniers]," Débats Economiques et financiers 43, Banque de France.
    8. Felix-Benedikt Liebrich, 2024. "Risk sharing under heterogeneous beliefs without convexity," Finance and Stochastics, Springer, vol. 28(4), pages 999-1033, October.
    9. Corina Birghila & Tim J. Boonen & Mario Ghossoub, 2020. "Optimal Insurance under Maxmin Expected Utility," Papers 2010.07383, arXiv.org.
    10. Boonen, Tim J. & Ghossoub, Mario, 2019. "On the existence of a representative reinsurer under heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 209-225.
    11. Hangsuck Lee & Minha Lee & Jimin Hong, 2024. "Optimal insurance for repetitive natural disasters under moral hazard," Journal of Economics, Springer, vol. 143(3), pages 247-277, December.
    12. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    13. Chi, Yichun & Hu, Tao & Huang, Yuxia, 2023. "Optimal risk management with reinsurance and its counterparty risk hedging," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 274-292.
    14. Liebrich, Felix-Benedikt, 2024. "Are reference measures of law-invariant functionals unique?," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 129-141.
    15. Yichun Chi & Tao Hu & Zhengtang Zhao & Jiakun Zheng, 2024. "Optimal insurance design under asymmetric Nash bargaining," Post-Print hal-04718332, HAL.
    16. Boonen, Tim J. & Jiang, Wenjun, 2024. "Robust insurance design with distortion risk measures," European Journal of Operational Research, Elsevier, vol. 316(2), pages 694-706.
    17. Peng Liu & Andreas Tsanakas & Yunran Wei, 2024. "Risk sharing with Lambda value at risk under heterogeneous beliefs," Papers 2408.03147, arXiv.org, revised Aug 2025.
    18. Ghossoub, Mario & Jiang, Wenjun & Ren, Jiandong, 2022. "Pareto-optimal reinsurance under individual risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 307-325.

  14. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.

    Cited by:

    1. Chi, Yichun & Peter, Richard & Wei, Wei, 2025. "On the optimality of straight deductibles under smooth ambiguity aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 234(C).
    2. Li, Chen & Li, Xiaohu, 2019. "Preservation of WSAI under default transforms and its application in allocating assets with dependent realizable returns," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 84-91.

  15. Chi, Yichun & Wei, Wei, 2018. "Optimum Insurance Contracts With Background Risk And Higher-Order Risk Attitudes," ASTIN Bulletin, Cambridge University Press, vol. 48(3), pages 1025-1047, September.

    Cited by:

    1. Chi, Yichun & Peter, Richard & Wei, Wei, 2025. "On the optimality of straight deductibles under smooth ambiguity aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 234(C).
    2. Hong Liang, 2020. "On Three Standard Results in the Theory of Insurance Demand," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(1), pages 1-10, January.
    3. Li, Chen & Li, Xiaohu, 2019. "Preservation of WSAI under default transforms and its application in allocating assets with dependent realizable returns," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 84-91.
    4. Liang, Xiaoqing & Jiang, Wenjun & Zhang, Yiying, 2023. "Optimal insurance design under mean-variance preference with narrow framing," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 59-79.
    5. Yichun Chi & Wei Wei, 2020. "Optimal insurance with background risk: An analysis of general dependence structures," Finance and Stochastics, Springer, vol. 24(4), pages 903-937, October.

  16. Chi, Yichun & Liu, Fangda, 2017. "Optimal insurance design in the presence of exclusion clauses," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 185-195.

    Cited by:

    1. Asimit, Alexandru V. & Cheung, Ka Chun & Chong, Wing Fung & Hu, Junlei, 2020. "Pareto-optimal insurance contracts with premium budget and minimum charge constraints," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 17-27.
    2. Liu, Fangda & Cai, Jun & Lemieux, Christiane & Wang, Ruodu, 2020. "Convex risk functionals: Representation and applications," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 66-79.
    3. Lu, Zhiyi & Meng, Shengwang & Liu, Leping & Han, Ziqi, 2018. "Optimal insurance design under background risk with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 15-28.

  17. Yichun Chi & Ming Zhou, 2017. "Optimal Reinsurance Design: A Mean-Variance Approach," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(1), pages 1-14, January.

    Cited by:

    1. Chen, Lv & Shen, Yang & Su, Jianxi, 2020. "A continuous-time theory of reinsurance chains," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 129-146.
    2. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.
    3. Xiaoqing Liang & Ruodu Wang & Virginia Young, 2021. "Optimal Insurance to Maximize RDEU Under a Distortion-Deviation Premium Principle," Papers 2107.02656, arXiv.org, revised Feb 2022.
    4. Junyi Guo & Xia Han & Hao Wang, 2025. "Dynamic reinsurance design with heterogeneous beliefs under the mean-variance framework," Papers 2502.05474, arXiv.org, revised Aug 2025.

  18. Yichun Chi & X. Sheldon Lin & Ken Seng Tan, 2017. "Optimal Reinsurance Under the Risk-Adjusted Value of an Insurer’s Liability and an Economic Reinsurance Premium Principle," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(3), pages 417-432, July.

    Cited by:

    1. Guerra, M. & de Moura, A.B., 2021. "Reinsurance of multiple risks with generic dependence structures," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 547-571.
    2. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    3. Yinzhi Wang & Erik B{o}lviken, 2019. "How much is optimal reinsurance degraded by error?," Papers 1912.04175, arXiv.org.
    4. Boonen, Tim J. & Ghossoub, Mario, 2019. "On the existence of a representative reinsurer under heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 209-225.
    5. Albrecher, Hansjörg & Cani, Arian, 2019. "On randomized reinsurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 67-78.
    6. Yuan, Yu & Han, Xia & Liang, Zhibin & Yuen, Kam Chuen, 2023. "Optimal reinsurance-investment strategy with thinning dependence and delay factors under mean-variance framework," European Journal of Operational Research, Elsevier, vol. 311(2), pages 581-595.
    7. Erik B{o}lviken & Yinzhi Wang, 2019. "Optimal reinsurance for risk over surplus ratios," Papers 1912.04086, arXiv.org.
    8. Boonen, Tim J. & Ghossoub, Mario, 2021. "Optimal reinsurance with multiple reinsurers: Distortion risk measures, distortion premium principles, and heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 23-37.

  19. Chen, Xinxiang & Chi, Yichun & Tan, Ken Seng, 2016. "The Design Of An Optimal Retrospective Rating Plan," ASTIN Bulletin, Cambridge University Press, vol. 46(1), pages 141-163, January.

    Cited by:

    1. Ziyue Shi & David Landriault & Fangda Liu, 2024. "Performance-based variable premium scheme and reinsurance design," Papers 2412.01704, arXiv.org, revised Jul 2025.

  20. Asimit, Alexandru V. & Chi, Yichun & Hu, Junlei, 2015. "Optimal non-life reinsurance under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 227-237.

    Cited by:

    1. Asimit, Alexandru V. & Badescu, Alexandru M. & Haberman, Steven & Kim, Eun-Seok, 2016. "Efficient risk allocation within a non-life insurance group under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 69-76.
    2. Ernest Aboagye & Vali Asimit & Tsz Chai Fung & Liang Peng & Qiuqi Wang, 2024. "A Revisit of the Optimal Excess-of-Loss Contract," Papers 2405.00188, arXiv.org.
    3. Aboagye, Ernest & Asimit, Vali & Fung, Tsz Chai & Peng, Liang & Wang, Qiuqi, 2025. "A revisit of the optimal excess-of-loss contract," European Journal of Operational Research, Elsevier, vol. 322(1), pages 341-354.
    4. Y. Bai & E. Hashorva & G. Ratovomirija & M. Tamraz, 2016. "Some Mathematical Aspects of Price Optimisation," Papers 1605.05814, arXiv.org.
    5. Nanjun ZHU & Yulin FENG, 2017. "Optimal Change-Loss Reinsurance Contract Design under Tail Risk Measures for Catastrophe Insurance," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 225-242.
    6. Barry Sheehan & Christian Humberg & Darren Shannon & Michael Fortmann & Stefan Materne, 2023. "Diversification and Solvency II: the capital effect of portfolio swaps on non-life insurers," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 48(4), pages 872-905, October.
    7. Asimit, Alexandru V. & Hu, Junlei & Xie, Yuantao, 2019. "Optimal robust insurance with a finite uncertainty set," Insurance: Mathematics and Economics, Elsevier, vol. 87(C), pages 67-81.
    8. Moccia, Luigi & Laporte, Gilbert, 2016. "Improved models for technology choice in a transit corridor with fixed demand," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 245-270.

  21. Chi, Yichun & Lin, X. Sheldon, 2014. "Optimal Reinsurance With Limited Ceded Risk: A Stochastic Dominance Approach," ASTIN Bulletin, Cambridge University Press, vol. 44(1), pages 103-126, January.

    Cited by:

    1. Chi, Yichun & Zhuang, Sheng Chao, 2020. "Optimal insurance with belief heterogeneity and incentive compatibility," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 104-114.
    2. Lu, ZhiYi & Meng, LiLi & Wang, Yujin & Shen, Qingjie, 2016. "Optimal reinsurance under VaR and TVaR risk measures in the presence of reinsurer’s risk limit," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 92-100.
    3. Martin Eling & Ruo Jia, 2017. "Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2014 Update," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 63-77, March.
    4. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.
    5. Nanjun ZHU & Yulin FENG, 2017. "Optimal Change-Loss Reinsurance Contract Design under Tail Risk Measures for Catastrophe Insurance," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 225-242.
    6. Lu, Zhiyi & Meng, Shengwang & Liu, Leping & Han, Ziqi, 2018. "Optimal insurance design under background risk with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 15-28.
    7. Chi, Yichun & Liu, Fangda, 2017. "Optimal insurance design in the presence of exclusion clauses," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 185-195.
    8. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.

  22. Yichun Chi & Hui Meng, 2014. "Optimal reinsurance arrangements in the presence of two reinsurers," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2014(5), pages 424-438.

    Cited by:

    1. Liyuan Lin & Fangda Liu & Jingzhen Liu abd Luyang Yu, 2023. "The optimal reinsurance strategy with price-competition between two reinsurers," Papers 2305.00509, arXiv.org.
    2. Cao, Jingyi & Li, Dongchen & Young, Virginia R. & Zou, Bin, 2023. "Reinsurance games with two reinsurers: Tree versus chain," European Journal of Operational Research, Elsevier, vol. 310(2), pages 928-941.

  23. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.

    Cited by:

    1. Sun, Haoze & Weng, Chengguo & Zhang, Yi, 2017. "Optimal multivariate quota-share reinsurance: A nonparametric mean-CVaR framework," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 197-214.
    2. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    3. Martin Eling & Ruo Jia, 2017. "Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2014 Update," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 63-77, March.
    4. Nicole Bauerle & Alexander Glauner, 2017. "Optimal Risk Allocation in Reinsurance Networks," Papers 1711.10210, arXiv.org.
    5. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.
    6. Mi Chen & Wenyuan Wang & Ruixing Ming, 2016. "Optimal Reinsurance Under General Law-Invariant Convex Risk Measure and TVaR Premium Principle," Risks, MDPI, vol. 4(4), pages 1-12, December.
    7. Bäuerle, Nicole & Glauner, Alexander, 2018. "Optimal risk allocation in reinsurance networks," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 37-47.

  24. Chi, Yichun & Tan, Ken Seng, 2013. "Optimal reinsurance with general premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 180-189.

    Cited by:

    1. Yichun Chi & Zuo Quan Xu & Sheng Chao Zhuang, 2022. "Distributionally Robust Goal-Reaching Optimization in the Presence of Background Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 26(3), pages 351-382, August.
    2. Jianfa Cong & Ken Seng Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    3. Najafabadi, Amir T. Payandeh & Bazaz, Ali Panahi, 2018. "An optimal multi-layer reinsurance policy under conditional tail expectation," Annals of Actuarial Science, Cambridge University Press, vol. 12(1), pages 130-146, March.
    4. Takao Asano & Takuji Arai & Katsumasa Nishide, 2017. "Optimal Initial Capital Induced by the Optimized Certainty Equivalent," KIER Working Papers 981, Kyoto University, Institute of Economic Research.
    5. Junhong Du & Zhiming Li & Lijun Wu, 2019. "Optimal Stop-Loss Reinsurance Under the VaR and CTE Risk Measures: Variable Transformation Method," Computational Economics, Springer;Society for Computational Economics, vol. 53(3), pages 1133-1151, March.
    6. Tan, Ken Seng & Wei, Pengyu & Wei, Wei & Zhuang, Sheng Chao, 2020. "Optimal dynamic reinsurance policies under a generalized Denneberg’s absolute deviation principle," European Journal of Operational Research, Elsevier, vol. 282(1), pages 345-362.
    7. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2016. "VaR as the CVaR sensitivity : applications in risk optimization," IC3JM - Estudios = Working Papers id-16-01, Instituto Mixto Carlos III - Juan March de Ciencias Sociales (IC3JM).
    8. Cheung, K.C. & Chong, W.F. & Yam, S.C.P., 2015. "Convex ordering for insurance preferences," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 409-416.
    9. Chi, Yichun & Weng, Chengguo, 2013. "Optimal reinsurance subject to Vajda condition," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 179-189.
    10. Kong, Dezhou & Liu, Lishan & Wu, Yonghong, 2018. "Optimal reinsurance under risk and uncertainty on Orlicz hearts," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 108-116.
    11. Nicole Bäuerle & Alexander Glauner, 2021. "Minimizing spectral risk measures applied to Markov decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(1), pages 35-69, August.
    12. Hirbod Assa, 2014. "On Optimal Reinsurance Policy with Distortion Risk Measures and Premiums," Papers 1406.2950, arXiv.org.
    13. Ghossoub, Mario & Zhu, Michael B., 2024. "Stackelberg equilibria with multiple policyholders," Insurance: Mathematics and Economics, Elsevier, vol. 116(C), pages 189-201.
    14. Yinzhi Wang & Erik B{o}lviken, 2019. "How much is optimal reinsurance degraded by error?," Papers 1912.04175, arXiv.org.
    15. Yuxia Huang & Chuancun Yin, 2018. "A unifying approach to constrained and unconstrained optimal reinsurance," Papers 1807.06892, arXiv.org.
    16. Ernest Aboagye & Vali Asimit & Tsz Chai Fung & Liang Peng & Qiuqi Wang, 2024. "A Revisit of the Optimal Excess-of-Loss Contract," Papers 2405.00188, arXiv.org.
    17. Wang, Ching-Ping & Huang, Hung-Hsi, 2016. "Optimal insurance contract under VaR and CVaR constraints," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 110-127.
    18. Birghila, Corina & Pflug, Georg Ch., 2019. "Optimal XL-insurance under Wasserstein-type ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 30-43.
    19. Brandtner, Mario & Kürsten, Wolfgang, 2014. "Solvency II, regulatory capital, and optimal reinsurance: How good are Conditional Value-at-Risk and spectral risk measures?," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 156-167.
    20. Qiqi Li & Wei Wang & Yiying Zhang, 2024. "Self-protection and insurance demand with convex premium principles," Papers 2411.19436, arXiv.org, revised Feb 2025.
    21. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel & Rodríguez de las Heras Pérez, Antonio, 2014. "Optimal reinsurance under risk and uncertainty," IC3JM - Estudios = Working Papers id-14-04, Instituto Mixto Carlos III - Juan March de Ciencias Sociales (IC3JM).
    22. Hirbod Assa, 2015. "Optimal risk allocation in a market with non-convex preferences," Papers 1503.04460, arXiv.org.
    23. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel & Heras, Antonio, 2015. "Optimal reinsurance under risk and uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 60(C), pages 61-74.
    24. Aboagye, Ernest & Asimit, Vali & Fung, Tsz Chai & Peng, Liang & Wang, Qiuqi, 2025. "A revisit of the optimal excess-of-loss contract," European Journal of Operational Research, Elsevier, vol. 322(1), pages 341-354.
    25. Başak Bulut Karageyik & Şule Şahin, 2017. "Determination of the Optimal Retention Level Based on Different Measures," JRFM, MDPI, vol. 10(1), pages 1-21, January.
    26. Asimit, Alexandru V. & Chi, Yichun & Hu, Junlei, 2015. "Optimal non-life reinsurance under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 227-237.
    27. Nicole Bauerle & Alexander Glauner, 2020. "Minimizing Spectral Risk Measures Applied to Markov Decision Processes," Papers 2012.04521, arXiv.org.
    28. Jianfa Cong & Ken Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    29. Alejandro Balbas & Beatriz Balbas & Raquel Balbas, 2013. "Optimal Reinsurance: A Risk Sharing Approach," Risks, MDPI, vol. 1(2), pages 1-12, August.
    30. Assa, Hirbod, 2015. "On optimal reinsurance policy with distortion risk measures and premiums," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 70-75.
    31. Alexander Glauner, 2020. "Dynamic Reinsurance in Discrete Time Minimizing the Insurer's Cost of Capital," Papers 2012.09648, arXiv.org.
    32. Nanjun ZHU & Yulin FENG, 2017. "Optimal Change-Loss Reinsurance Contract Design under Tail Risk Measures for Catastrophe Insurance," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 225-242.
    33. Hanbali, Hamza & Dhaene, Jan & Linders, Daniël, 2022. "Dependence bounds for the difference of stop-loss payoffs on the difference of two random variables," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 22-37.
    34. Viktorija Skvarciany & Indrė Lapinskaitė, 2022. "Designing of Optimal Reinsurance Indemnity," Mathematics, MDPI, vol. 10(19), pages 1-8, October.
    35. Liu, Fangda & Cai, Jun & Lemieux, Christiane & Wang, Ruodu, 2020. "Convex risk functionals: Representation and applications," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 66-79.
    36. Albrecher, Hansjörg & Cani, Arian, 2019. "On randomized reinsurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 67-78.
    37. Nicole Bauerle & Alexander Glauner, 2017. "Optimal Risk Allocation in Reinsurance Networks," Papers 1711.10210, arXiv.org.
    38. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.
    39. Chi, Yichun & Liu, Fangda, 2017. "Optimal insurance design in the presence of exclusion clauses," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 185-195.
    40. Mario Ghossoub & Michael B. Zhu & Wing Fung Chong, 2024. "Pareto-Optimal Peer-to-Peer Risk Sharing with Robust Distortion Risk Measures," Papers 2409.05103, arXiv.org.
    41. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.
    42. Erik B{o}lviken & Yinzhi Wang, 2019. "Optimal reinsurance for risk over surplus ratios," Papers 1912.04086, arXiv.org.
    43. Nicoleta RADU, 2022. "Reinsurance – an efficient solution of catastrophe risk transfer for the housing stock of Romania," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(2(631), S), pages 139-150, Summer.
    44. Cheung, Ka Chun & Yam, Sheung Chi Phillip & Zhang, Yiying, 2019. "Risk-adjusted Bowley reinsurance under distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 64-72.
    45. Zhuang, Sheng Chao & Weng, Chengguo & Tan, Ken Seng & Assa, Hirbod, 2016. "Marginal Indemnification Function formulation for optimal reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 65-76.
    46. Tim J. Boonen, 2016. "Optimal Reinsurance with Heterogeneous Reference Probabilities," Risks, MDPI, vol. 4(3), pages 1-11, July.
    47. Mi Chen & Wenyuan Wang & Ruixing Ming, 2016. "Optimal Reinsurance Under General Law-Invariant Convex Risk Measure and TVaR Premium Principle," Risks, MDPI, vol. 4(4), pages 1-12, December.
    48. Bäuerle, Nicole & Glauner, Alexander, 2018. "Optimal risk allocation in reinsurance networks," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 37-47.

  25. Chi, Yichun & Weng, Chengguo, 2013. "Optimal reinsurance subject to Vajda condition," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 179-189.

    Cited by:

    1. Sun, Haoze & Weng, Chengguo & Zhang, Yi, 2017. "Optimal multivariate quota-share reinsurance: A nonparametric mean-CVaR framework," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 197-214.
    2. Jianfa Cong & Ken Seng Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    3. Junhong Du & Zhiming Li & Lijun Wu, 2019. "Optimal Stop-Loss Reinsurance Under the VaR and CTE Risk Measures: Variable Transformation Method," Computational Economics, Springer;Society for Computational Economics, vol. 53(3), pages 1133-1151, March.
    4. Elroi Hadad & Tomer Shushi & Rami Yosef, 2023. "Measuring Systemic Governmental Reinsurance Risks of Extreme Risk Events," Risks, MDPI, vol. 11(3), pages 1-11, February.
    5. Yuxia Huang & Chuancun Yin, 2018. "A unifying approach to constrained and unconstrained optimal reinsurance," Papers 1807.06892, arXiv.org.
    6. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.
    7. Boonen, Tim J. & Jiang, Wenjun, 2022. "A marginal indemnity function approach to optimal reinsurance under the Vajda condition," European Journal of Operational Research, Elsevier, vol. 303(2), pages 928-944.
    8. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    9. Zheng, Yanting & Cui, Wei, 2014. "Optimal reinsurance with premium constraint under distortion risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 109-120.
    10. Jianfa Cong & Ken Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    11. Wang, Qiuqi & Wang, Ruodu & Zitikis, Ričardas, 2022. "Risk measures induced by efficient insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 56-65.
    12. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.
    13. Zhuang, Sheng Chao & Weng, Chengguo & Tan, Ken Seng & Assa, Hirbod, 2016. "Marginal Indemnification Function formulation for optimal reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 65-76.
    14. Mi Chen & Wenyuan Wang & Ruixing Ming, 2016. "Optimal Reinsurance Under General Law-Invariant Convex Risk Measure and TVaR Premium Principle," Risks, MDPI, vol. 4(4), pages 1-12, December.

  26. Chi, Yichun & Lin, X. Sheldon, 2012. "Are Flexible Premium Variable Annuities Under-Priced?," ASTIN Bulletin, Cambridge University Press, vol. 42(2), pages 559-574, November.

    Cited by:

    1. Seyed Amir Hejazi & Kenneth R. Jackson, 2016. "A Neural Network Approach to Efficient Valuation of Large Portfolios of Variable Annuities," Papers 1606.07831, arXiv.org.
    2. Seyed Amir Hejazi & Kenneth R. Jackson & Guojun Gan, 2017. "A Spatial Interpolation Framework for Efficient Valuation of Large Portfolios of Variable Annuities," Papers 1701.04134, arXiv.org.
    3. Yang, Yang & Chen, Shaoying & Cui, Zhenyu & Zhang, Zhimin, 2024. "Valuation of guaranteed lifelong withdrawal benefit with the long-term care option," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 179-193.
    4. Xiao Wei & Xingchi Gu, 2024. "Conditional Moment Matching and Stratified Approximation for Pricing and Hedging Periodic-Premium Variable Annuities," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-25, June.
    5. Runhuan Feng & Xiaochen Jing & Jan Dhaene, 2015. "Comonotonic Approximations of Risk Measures for Variable Annuity Guaranteed Benefits with Dynamic Policyholder Behavior," Tinbergen Institute Discussion Papers 15-008/IV/DSF85, Tinbergen Institute.
    6. Hejazi, Seyed Amir & Jackson, Kenneth R., 2016. "A neural network approach to efficient valuation of large portfolios of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 169-181.
    7. Kouritzin, Michael A. & MacKay, Anne, 2018. "VIX-linked fees for GMWBs via explicit solution simulation methods," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 1-17.
    8. Mussa Juma & Min Cherng Lee & Seong Tah Chin & Kian Wah Liew, 2017. "Evaluation of variable annuity guarantees with the effect of jumps in the asset price process," Cogent Economics & Finance, Taylor & Francis Journals, vol. 5(1), pages 1326218-132, January.
    9. Gan, Guojun & Lin, X. Sheldon, 2015. "Valuation of large variable annuity portfolios under nested simulation: A functional data approach," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 138-150.

  27. Chi, Yichun, 2012. "Reinsurance Arrangements Minimizing the Risk-Adjusted Value of an Insurer's Liability," ASTIN Bulletin, Cambridge University Press, vol. 42(2), pages 529-557, November.

    Cited by:

    1. Asimit, Alexandru V. & Cheung, Ka Chun & Chong, Wing Fung & Hu, Junlei, 2020. "Pareto-optimal insurance contracts with premium budget and minimum charge constraints," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 17-27.
    2. Najafabadi, Amir T. Payandeh & Bazaz, Ali Panahi, 2018. "An optimal multi-layer reinsurance policy under conditional tail expectation," Annals of Actuarial Science, Cambridge University Press, vol. 12(1), pages 130-146, March.
    3. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    4. Yichun Chi & Xun Yu Zhou & Sheng Chao Zhuang, 2020. "Variance Contracts," Papers 2008.07103, arXiv.org.
    5. Boonen, Tim J. & Tan, Ken Seng & Zhuang, Sheng Chao, 2021. "Optimal reinsurance with multiple reinsurers: Competitive pricing and coalition stability," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 302-319.
    6. Cheung, K.C. & Chong, W.F. & Yam, S.C.P., 2015. "Convex ordering for insurance preferences," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 409-416.
    7. Chi, Yichun & Weng, Chengguo, 2013. "Optimal reinsurance subject to Vajda condition," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 179-189.
    8. Chi, Yichun & Zhou, Xun Yu & Zhuang, Sheng Chao, 2024. "Variance insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 62-82.
    9. Wang, Ching-Ping & Huang, Hung-Hsi, 2016. "Optimal insurance contract under VaR and CVaR constraints," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 110-127.
    10. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    11. Hirbod Assa, 2015. "Optimal risk allocation in a market with non-convex preferences," Papers 1503.04460, arXiv.org.
    12. Hangsuck Lee & Minha Lee & Jimin Hong, 2024. "Optimal insurance for repetitive natural disasters under moral hazard," Journal of Economics, Springer, vol. 143(3), pages 247-277, December.
    13. Asimit, Alexandru V. & Chi, Yichun & Hu, Junlei, 2015. "Optimal non-life reinsurance under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 227-237.
    14. Albrecher, Hansjörg & Cani, Arian, 2019. "On randomized reinsurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 67-78.
    15. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.
    16. Chi, Yichun & Liu, Fangda, 2017. "Optimal insurance design in the presence of exclusion clauses," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 185-195.
    17. Erik B{o}lviken & Yinzhi Wang, 2019. "Optimal reinsurance for risk over surplus ratios," Papers 1912.04086, arXiv.org.
    18. Asimit, Vali & Boonen, Tim J., 2018. "Insurance with multiple insurers: A game-theoretic approach," European Journal of Operational Research, Elsevier, vol. 267(2), pages 778-790.
    19. Mi Chen & Wenyuan Wang & Ruixing Ming, 2016. "Optimal Reinsurance Under General Law-Invariant Convex Risk Measure and TVaR Premium Principle," Risks, MDPI, vol. 4(4), pages 1-12, December.

  28. Chi, Yichun, 2012. "Optimal reinsurance under variance related premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 310-321.

    Cited by:

    1. Liang, Zongxia & Xia, Yi & Zou, Bin, 2024. "A two-layer stochastic game approach to reinsurance contracting and competition," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 226-237.
    2. Asimit, Alexandru V. & Boonen, Tim J. & Chi, Yichun & Chong, Wing Fung, 2021. "Risk sharing with multiple indemnity environments," European Journal of Operational Research, Elsevier, vol. 295(2), pages 587-603.
    3. Najafabadi, Amir T. Payandeh & Bazaz, Ali Panahi, 2018. "An optimal multi-layer reinsurance policy under conditional tail expectation," Annals of Actuarial Science, Cambridge University Press, vol. 12(1), pages 130-146, March.
    4. Cheung, K.C. & Chong, W.F. & Yam, S.C.P., 2015. "Convex ordering for insurance preferences," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 409-416.
    5. Meng, Hui & Zhou, Ming & Siu, Tak Kuen, 2016. "Optimal reinsurance policies with two reinsurers in continuous time," Economic Modelling, Elsevier, vol. 59(C), pages 182-195.
    6. Meng, Hui & Liao, Pu & Siu, Tak Kuen, 2019. "Continuous-time optimal reinsurance strategy with nontrivial curved structures," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    7. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.
    8. Hirbod Assa, 2015. "Optimal risk allocation in a market with non-convex preferences," Papers 1503.04460, arXiv.org.
    9. Sancho Salcedo-Sanz & Leo Carro-Calvo & Mercè Claramunt & Ana Castañer & Maite Mármol, 2014. "Effectively Tackling Reinsurance Problems by Using Evolutionary and Swarm Intelligence Algorithms," Risks, MDPI, vol. 2(2), pages 1-14, April.
    10. Viktorija Skvarciany & Indrė Lapinskaitė, 2022. "Designing of Optimal Reinsurance Indemnity," Mathematics, MDPI, vol. 10(19), pages 1-8, October.
    11. Sancho Salcedo-Sanz & L. Carro-Calvo & Mercè Claramunt & Anna Castañer & Maite Marmol, 2013. "An Analysis of Black-box Optimization Problems in Reinsurance: Evolutionary-based Approaches," Working Papers XREAP2013-04, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2013.
    12. Albrecher, Hansjörg & Cani, Arian, 2019. "On randomized reinsurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 67-78.
    13. Boonen, Tim J. & Han, Xia, 2024. "Optimal insurance with mean-deviation measures," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 1-24.
    14. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.
    15. Caibin Zhang & Zhibin Liang & Kam Chuen Yuen, 2019. "Optimal dynamic reinsurance with common shock dependence and state-dependent risk aversion," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 1-45, March.
    16. Xia Han & Ruodu Wang & Qinyu Wu, 2023. "Monotonic mean-deviation risk measures," Papers 2312.01034, arXiv.org, revised Aug 2024.
    17. Lu, ZhiYi & Liu, LePing & Meng, ShengWang, 2013. "Optimal reinsurance with concave ceded loss functions under VaR and CTE risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 46-51.
    18. Zongxia Liang & Yi Xia & Bin Zou, 2024. "A Two-layer Stochastic Game Approach to Reinsurance Contracting and Competition," Papers 2405.06235, arXiv.org, revised Sep 2024.
    19. Tim J. Boonen & Xia Han, 2023. "Optimal insurance with mean-deviation measures," Papers 2312.01813, arXiv.org.

  29. Chi, Yichun & Tan, Ken Seng, 2011. "Optimal Reinsurance under VaR and CVaR Risk Measures: a Simplified Approach," ASTIN Bulletin, Cambridge University Press, vol. 41(2), pages 487-509, November.

    Cited by:

    1. Chi, Yichun & Zhuang, Sheng Chao, 2020. "Optimal insurance with belief heterogeneity and incentive compatibility," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 104-114.
    2. Lu, ZhiYi & Meng, LiLi & Wang, Yujin & Shen, Qingjie, 2016. "Optimal reinsurance under VaR and TVaR risk measures in the presence of reinsurer’s risk limit," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 92-100.
    3. Jianfa Cong & Ken Seng Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    4. Hao Zou & Jin Qin & Peng Yang & Bo Dai, 2018. "A Coordinated Revenue-Sharing Model for a Sustainable Closed-Loop Supply Chain," Sustainability, MDPI, vol. 10(9), pages 1-15, September.
    5. Najafabadi, Amir T. Payandeh & Bazaz, Ali Panahi, 2018. "An optimal multi-layer reinsurance policy under conditional tail expectation," Annals of Actuarial Science, Cambridge University Press, vol. 12(1), pages 130-146, March.
    6. Ambrose Lo, 2016. "How Does Reinsurance Create Value to an Insurer? A Cost-Benefit Analysis Incorporating Default Risk," Risks, MDPI, vol. 4(4), pages 1-16, December.
    7. Chi, Yichun & Tan, Ken Seng, 2013. "Optimal reinsurance with general premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 180-189.
    8. Chi, Yichun & Liu, Fangda, 2021. "Enhancing an insurer's expected value by reinsurance and external financing," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 466-484.
    9. Tim J. Boonen & Yuyu Chen & Xia Han & Qiuqi Wang, 2024. "Optimal insurance design with Lambda-Value-at-Risk," Papers 2408.09799, arXiv.org, revised Aug 2025.
    10. Wenjun Jiang & Jiandong Ren & Ričardas Zitikis, 2017. "Optimal Reinsurance Policies under the VaR Risk Measure When the Interests of Both the Cedent and the Reinsurer Are Taken into Account," Risks, MDPI, vol. 5(1), pages 1-22, February.
    11. Asimit, Alexandru V. & Badescu, Alexandru M. & Haberman, Steven & Kim, Eun-Seok, 2016. "Efficient risk allocation within a non-life insurance group under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 69-76.
    12. Boonen, Tim J. & Tan, Ken Seng & Zhuang, Sheng Chao, 2021. "Optimal reinsurance with multiple reinsurers: Competitive pricing and coalition stability," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 302-319.
    13. Chi, Yichun & Weng, Chengguo, 2013. "Optimal reinsurance subject to Vajda condition," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 179-189.
    14. Ambrose Lo & Zhaofeng Tang, 2019. "Pareto-optimal reinsurance policies in the presence of individual risk constraints," Annals of Operations Research, Springer, vol. 274(1), pages 395-423, March.
    15. Bahman Angoshtari & Virginia R. Young, 2020. "Optimal Insurance to Minimize the Probability of Ruin: Inverse Survival Function Formulation," Papers 2012.03798, arXiv.org.
    16. Elroi Hadad & Tomer Shushi & Rami Yosef, 2023. "Measuring Systemic Governmental Reinsurance Risks of Extreme Risk Events," Risks, MDPI, vol. 11(3), pages 1-11, February.
    17. Mario Brandtner, 2016. "Spektrale Risikomaße: Konzeption, betriebswirtschaftliche Anwendungen und Fallstricke," Management Review Quarterly, Springer, vol. 66(2), pages 75-115, April.
    18. Meng, Hui & Liao, Pu & Siu, Tak Kuen, 2019. "Continuous-time optimal reinsurance strategy with nontrivial curved structures," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    19. Alois Pichler, 2013. "Premiums And Reserves, Adjusted By Distortions," Papers 1304.0490, arXiv.org.
    20. Vincent, Léonard & Albrecher, Hansjörg & Krvavych, Yuriy, 2021. "Structured reinsurance deals with reference to relative market performance," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 125-139.
    21. Yinzhi Wang & Erik B{o}lviken, 2019. "How much is optimal reinsurance degraded by error?," Papers 1912.04175, arXiv.org.
    22. Asimit, Alexandru V. & Badescu, Alexandru M. & Verdonck, Tim, 2013. "Optimal risk transfer under quantile-based risk measurers," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 252-265.
    23. Yuxia Huang & Chuancun Yin, 2018. "A unifying approach to constrained and unconstrained optimal reinsurance," Papers 1807.06892, arXiv.org.
    24. George Woodman & Ruben S. Andrist & Thomas Haner & Damian S. Steiger & Martin J. A. Schuetz & Helmut G. Katzgraber & Marcin Detyniecki, 2025. "Modern Computational Methods in Reinsurance Optimization: From Simulated Annealing to Quantum Branch & Bound," Papers 2504.16530, arXiv.org, revised Apr 2025.
    25. Wang, Ching-Ping & Huang, Hung-Hsi, 2016. "Optimal insurance contract under VaR and CVaR constraints," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 110-127.
    26. Olufemi Adebowale Abass, 2019. "Empirical Analysis of Reinsurance Dependence on the Profitability of General Insurance Business in Nigeria," Academic Journal of Economic Studies, Faculty of Finance, Banking and Accountancy Bucharest,"Dimitrie Cantemir" Christian University Bucharest, vol. 5(4), pages 36-43, December.
    27. Chi, Yichun, 2018. "Insurance choice under third degree stochastic dominance," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 198-205.
    28. Birghila, Corina & Pflug, Georg Ch., 2019. "Optimal XL-insurance under Wasserstein-type ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 30-43.
    29. Brandtner, Mario & Kürsten, Wolfgang, 2014. "Solvency II, regulatory capital, and optimal reinsurance: How good are Conditional Value-at-Risk and spectral risk measures?," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 156-167.
    30. Boonen, Tim J. & Jiang, Wenjun, 2022. "A marginal indemnity function approach to optimal reinsurance under the Vajda condition," European Journal of Operational Research, Elsevier, vol. 303(2), pages 928-944.
    31. Cheung, Ka Chun & He, Wanting & Wang, He, 2023. "Multi-constrained optimal reinsurance model from the duality perspectives," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 199-214.
    32. Suci Sari & Arief Hakim & Ikha Magdalena & Khreshna Syuhada, 2023. "Modeling the Optimal Combination of Proportional and Stop-Loss Reinsurance with Dependent Claim and Stochastic Insurance Premium," JRFM, MDPI, vol. 16(2), pages 1-20, February.
    33. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    34. Zheng, Yanting & Cui, Wei, 2014. "Optimal reinsurance with premium constraint under distortion risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 109-120.
    35. Boonen, Tim J. & Ghossoub, Mario, 2019. "On the existence of a representative reinsurer under heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 209-225.
    36. Hangsuck Lee & Minha Lee & Jimin Hong, 2024. "Optimal insurance for repetitive natural disasters under moral hazard," Journal of Economics, Springer, vol. 143(3), pages 247-277, December.
    37. Asimit, Alexandru V. & Chi, Yichun & Hu, Junlei, 2015. "Optimal non-life reinsurance under Solvency II Regime," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 227-237.
    38. Chi, Yichun & Hu, Tao & Huang, Yuxia, 2023. "Optimal risk management with reinsurance and its counterparty risk hedging," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 274-292.
    39. Khreshna Syuhada & Arief Hakim & Suci Sari, 2021. "The Combined Stop-Loss and Quota-Share Reinsurance: Conditional Tail Expectation-Based Optimization from the Joint Perspective of Insurer and Reinsurer," Risks, MDPI, vol. 9(7), pages 1-21, July.
    40. Jianfa Cong & Ken Tan, 2016. "Optimal VaR-based risk management with reinsurance," Annals of Operations Research, Springer, vol. 237(1), pages 177-202, February.
    41. Cui, Wei & Yang, Jingping & Wu, Lan, 2013. "Optimal reinsurance minimizing the distortion risk measure under general reinsurance premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 74-85.
    42. Asimit, Alexandru V. & Badescu, Alexandru M. & Cheung, Ka Chun, 2013. "Optimal reinsurance in the presence of counterparty default risk," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 690-697.
    43. Wenhua Lv & Linxiao Wei, 2023. "Distributionally Robust Reinsurance with Glue Value-at-Risk and Expected Value Premium," Mathematics, MDPI, vol. 11(18), pages 1-23, September.
    44. Lu, Zhiyi & Meng, Shengwang & Liu, Leping & Han, Ziqi, 2018. "Optimal insurance design under background risk with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 15-28.
    45. Albrecher, Hansjörg & Cani, Arian, 2019. "On randomized reinsurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 67-78.
    46. El Attar Abderrahim & El Hachloufi Mostafa & Guennoun Zine El Abidine, 2017. "An Inclusive Criterion For An Optimal Choice Of Reinsurance," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 1-22, December.
    47. Zhu, Yunzhou & Chi, Yichun & Weng, Chengguo, 2014. "Multivariate reinsurance designs for minimizing an insurer’s capital requirement," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 144-155.
    48. Asimit, Alexandru V. & Hu, Junlei & Xie, Yuantao, 2019. "Optimal robust insurance with a finite uncertainty set," Insurance: Mathematics and Economics, Elsevier, vol. 87(C), pages 67-81.
    49. Hu, Xiang & Yang, Hailiang & Zhang, Lianzeng, 2015. "Optimal retention for a stop-loss reinsurance with incomplete information," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 15-21.
    50. Caibin Zhang & Zhibin Liang & Kam Chuen Yuen, 2019. "Optimal dynamic reinsurance with common shock dependence and state-dependent risk aversion," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 1-45, March.
    51. Boonen, Tim J. & Jiang, Wenjun, 2024. "Robust insurance design with distortion risk measures," European Journal of Operational Research, Elsevier, vol. 316(2), pages 694-706.
    52. Chi, Yichun & Liu, Fangda, 2017. "Optimal insurance design in the presence of exclusion clauses," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 185-195.
    53. Lu, ZhiYi & Liu, LePing & Meng, ShengWang, 2013. "Optimal reinsurance with concave ceded loss functions under VaR and CTE risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 46-51.
    54. Chaofan Sun & Ken Seng Tan & Wei Wei, 2022. "Credit Valuation Adjustment with Replacement Closeout: Theory and Algorithms," Papers 2201.09105, arXiv.org, revised Jan 2022.
    55. Fadina, Tolulope & Hu, Junlei & Liu, Peng & Xia, Yi, 2025. "Optimal reinsurance with multivariate risks and dependence uncertainty," European Journal of Operational Research, Elsevier, vol. 321(1), pages 231-242.
    56. Boonen, Tim J. & Tan, Ken Seng & Zhuang, Sheng Chao, 2016. "The role of a representative reinsurer in optimal reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 196-204.
    57. Chi, Yichun, 2012. "Optimal reinsurance under variance related premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 310-321.
    58. Boonen, Tim J. & Ghossoub, Mario, 2021. "Optimal reinsurance with multiple reinsurers: Distortion risk measures, distortion premium principles, and heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 23-37.
    59. Boonen, Tim J. & Jiang, Wenjun, 2025. "Distributionally robust insurance under the Wasserstein distance," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 61-78.
    60. Mi Chen & Wenyuan Wang & Ruixing Ming, 2016. "Optimal Reinsurance Under General Law-Invariant Convex Risk Measure and TVaR Premium Principle," Risks, MDPI, vol. 4(4), pages 1-12, December.
    61. Ghossoub, Mario & Jiang, Wenjun & Ren, Jiandong, 2022. "Pareto-optimal reinsurance under individual risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 307-325.
    62. Cai, Jun & Liu, Haiyan & Wang, Ruodu, 2017. "Pareto-optimal reinsurance arrangements under general model settings," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 24-37.

  30. Chi, Yichun & Lin, X. Sheldon, 2011. "On the threshold dividend strategy for a generalized jump-diffusion risk model," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 326-337, May.

    Cited by:

    1. Wenguang Yu & Peng Guo & Qi Wang & Guofeng Guan & Qing Yang & Yujuan Huang & Xinliang Yu & Boyi Jin & Chaoran Cui, 2020. "On a Periodic Capital Injection and Barrier Dividend Strategy in the Compound Poisson Risk Model," Mathematics, MDPI, vol. 8(4), pages 1-21, April.
    2. Zan Yu & Lianzeng Zhang, 2024. "Computing the Gerber-Shiu function with interest and a constant dividend barrier by physics-informed neural networks," Papers 2401.04378, arXiv.org.
    3. Chuancun Yin & Yuzhen Wen & Zhaojun Zong & Ying Shen, 2013. "The first passage time problem for mixed-exponential jump processes with applications in insurance and finance," Papers 1302.6762, arXiv.org, revised Jun 2014.
    4. Phelan, Carolyn E. & Marazzina, Daniele & Fusai, Gianluca & Germano, Guido, 2018. "Fluctuation identities with continuous monitoring and their application to the pricing of barrier options," European Journal of Operational Research, Elsevier, vol. 271(1), pages 210-223.
    5. Christophette Blanchet-Scalliet & Diana Dorobantu & Didier Rullière, 2013. "The density of the ruin time for a renewal-reward process perturbed by a diffusion," Post-Print hal-00625099, HAL.
    6. Olena Ragulina & Jonas Šiaulys, 2020. "Upper Bounds and Explicit Formulas for the Ruin Probability in the Risk Model with Stochastic Premiums and a Multi-Layer Dividend Strategy," Mathematics, MDPI, vol. 8(11), pages 1-35, October.
    7. Bo, Lijun & Song, Renming & Tang, Dan & Wang, Yongjin & Yang, Xuewei, 2012. "Lévy risk model with two-sided jumps and a barrier dividend strategy," Insurance: Mathematics and Economics, Elsevier, vol. 50(2), pages 280-291.
    8. Yunyun Wang & Wenguang Yu & Yujuan Huang & Xinliang Yu & Hongli Fan, 2019. "Estimating the Expected Discounted Penalty Function in a Compound Poisson Insurance Risk Model with Mixed Premium Income," Mathematics, MDPI, vol. 7(3), pages 1-25, March.
    9. Carolyn E. Phelan & Daniele Marazzina & Gianluca Fusai & Guido Germano, 2017. "Fluctuation identities with continuous monitoring and their application to price barrier options," Papers 1712.00077, arXiv.org.

  31. Chi, Yichun & Jaimungal, Sebastian & Lin, X. Sheldon, 2010. "An insurance risk model with stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 52-66, February.

    Cited by:

    1. Teng, Ye & Zhang, Zhimin, 2023. "On a time-changed Lévy risk model with capital injections and periodic observation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 290-314.
    2. Yue He & Reiichiro Kawai & Yasutaka Shimizu & Kazutoshi Yamazaki, 2022. "The Gerber-Shiu discounted penalty function: A review from practical perspectives," Papers 2203.10680, arXiv.org, revised Dec 2022.
    3. He, Yue & Kawai, Reiichiro & Shimizu, Yasutaka & Yamazaki, Kazutoshi, 2023. "The Gerber-Shiu discounted penalty function: A review from practical perspectives," Insurance: Mathematics and Economics, Elsevier, vol. 109(C), pages 1-28.

  32. Chi, Yichun, 2010. "Analysis of the expected discounted penalty function for a general jump-diffusion risk model and applications in finance," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 385-396, April.

    Cited by:

    1. Chunwei Wang & Naidan Deng & Silian Shen, 2022. "Numerical Method for a Perturbed Risk Model with Proportional Investment," Mathematics, MDPI, vol. 11(1), pages 1-27, December.
    2. Chuancun Yin & Yuzhen Wen & Zhaojun Zong & Ying Shen, 2013. "The first passage time problem for mixed-exponential jump processes with applications in insurance and finance," Papers 1302.6762, arXiv.org, revised Jun 2014.
    3. Yue He & Reiichiro Kawai & Yasutaka Shimizu & Kazutoshi Yamazaki, 2022. "The Gerber-Shiu discounted penalty function: A review from practical perspectives," Papers 2203.10680, arXiv.org, revised Dec 2022.
    4. Hyong-chol O & Song-San Jo, 2019. "Variational inequality for perpetual American option price and convergence to the solution of the difference equation," Papers 1903.05189, arXiv.org.
    5. He, Yue & Kawai, Reiichiro & Shimizu, Yasutaka & Yamazaki, Kazutoshi, 2023. "The Gerber-Shiu discounted penalty function: A review from practical perspectives," Insurance: Mathematics and Economics, Elsevier, vol. 109(C), pages 1-28.
    6. Chi, Yichun & Lin, X. Sheldon, 2011. "On the threshold dividend strategy for a generalized jump-diffusion risk model," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 326-337, May.
    7. Bo, Lijun & Song, Renming & Tang, Dan & Wang, Yongjin & Yang, Xuewei, 2012. "Lévy risk model with two-sided jumps and a barrier dividend strategy," Insurance: Mathematics and Economics, Elsevier, vol. 50(2), pages 280-291.
    8. Jiechang Ruan & Wenguang Yu & Ke Song & Yihan Sun & Yujuan Huang & Xinliang Yu, 2019. "A Note on a Generalized Gerber–Shiu Discounted Penalty Function for a Compound Poisson Risk Model," Mathematics, MDPI, vol. 7(10), pages 1-12, September.
    9. Yunyun Wang & Wenguang Yu & Yujuan Huang & Xinliang Yu & Hongli Fan, 2019. "Estimating the Expected Discounted Penalty Function in a Compound Poisson Insurance Risk Model with Mixed Premium Income," Mathematics, MDPI, vol. 7(3), pages 1-25, March.

  33. Chi, Yichun & Yang, Jingping & Qi, Yongcheng, 2009. "Decomposition of a Schur-constant model and its applications," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 398-408, June.

    Cited by:

    1. Anna Castañer & M. Mercè Claramunt, 2019. "Equilibrium Distributions and Discrete Schur-constant Models," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 449-459, June.
    2. Lefèvre Claude & Picard Philippe, 2023. "Abel-Gontcharoff polynomials, parking trajectories and ruin probabilities," Dependence Modeling, De Gruyter, vol. 11(1), pages 1-17.
    3. Claude Lefèvre & Matthieu Simon, 2021. "Schur-Constant and Related Dependence Models, with Application to Ruin Probabilities," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 317-339, March.
    4. Claude Lefèvre & Stéphane Loisel & Pierre Montesinos, 2020. "Bounding basis risk using s-convex orders on Beta-unimodal distributions," Working Papers hal-02611208, HAL.
    5. Castañer, A. & Claramunt, M.M. & Lefèvre, C. & Loisel, S., 2015. "Discrete Schur-constant models," Journal of Multivariate Analysis, Elsevier, vol. 140(C), pages 343-362.
    6. Anna Castañer & M. Mercè Claramunt & Claude Lefèvre & Stéphane Loisel, 2019. "Partially Schur-constant models," Post-Print hal-01998057, HAL.
    7. Anna Castañer & M Mercè Claramunt, 2017. "Equilibrium distributions and discrete Schur-constant models," Working Papers hal-01593552, HAL.
    8. Ta, Bao Quoc & Van, Chung Pham, 2017. "Some properties of bivariate Schur-constant distributions," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 69-76.
    9. Anna Casta~ner & M Merc`e Claramunt, 2017. "Equilibrium distributions and discrete Schur-constant models," Papers 1709.09955, arXiv.org.
    10. Claude Lefèvre & Stéphane Loisel & Sergey Utev, 2018. "Markov Property in Discrete Schur-constant Models," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 1003-1012, September.

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