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Representation of the penalty term of dynamic concave utilities

Citations

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Cited by:

  1. Cohen, Samuel N., 2012. "Representing filtration consistent nonlinear expectations as g-expectations in general probability spaces," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1601-1626.
  2. Beissner, Patrick & Rosazza Gianin, Emanuela, 2018. "The Term Structure of Sharpe Ratios and Arbitrage-Free Asset Pricing in Continuous Time," Rationality and Competition Discussion Paper Series 72, CRC TRR 190 Rationality and Competition.
  3. Pelsser, Antoon & Salahnejhad Ghalehjooghi, Ahmad, 2016. "Time-consistent actuarial valuations," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 97-112.
  4. Tiexin Guo & Shien Zhao & Xiaolin Zeng, 2012. "On random convex analysis -- the analytic foundation of the module approach to conditional risk measures," Papers 1210.1848, arXiv.org, revised Mar 2013.
  5. Cheridito, Patrick & Stadje, Mitja, 2012. "Existence, minimality and approximation of solutions to BSDEs with convex drivers," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1540-1565.
  6. Beatrice Acciaio & Hans Föllmer & Irina Penner, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," Finance and Stochastics, Springer, vol. 16(4), pages 669-709, October.
  7. Ji, Ronglin & Shi, Xuejun & Wang, Shijie & Zhou, Jinming, 2019. "Dynamic risk measures for processes via backward stochastic differential equations," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 43-50.
  8. Zachary Feinstein & Birgit Rudloff, 2012. "Multiportfolio time consistency for set-valued convex and coherent risk measures," Papers 1212.5563, arXiv.org, revised Oct 2014.
  9. Tangpi, Ludovic, 2019. "Concentration of dynamic risk measures in a Brownian filtration," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1477-1491.
  10. Elisa Mastrogiacomo & Emanuela Rosazza Gianin, 2015. "Time-consistency of cash-subadditive risk measures," Papers 1512.03641, arXiv.org.
  11. Miryana Grigorova & Marie-Claire Quenez & Peng Yuan, 2025. "Non-linear Non-zero-Sum Dynkin Games with Bermudan Strategies," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-20, July.
  12. Tomasz R. Bielecki & Igor Cialenco & Marcin Pitera, 2014. "A unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time," Papers 1409.7028, arXiv.org, revised Sep 2017.
  13. Horst, Ulrich & Hu, Ying & Imkeller, Peter & Réveillac, Anthony & Zhang, Jianing, 2014. "Forward–backward systems for expected utility maximization," Stochastic Processes and their Applications, Elsevier, vol. 124(5), pages 1813-1848.
  14. Sun, Chuanfeng & Ji, Shaolin & Kong, Chuiliu, 2022. "The least squares estimator of random variables under convex operators on LF∞(μ) space," Statistics & Probability Letters, Elsevier, vol. 181(C).
  15. Ma, Hanmin & Tian, Dejian, 2021. "Generalized entropic risk measures and related BSDEs," Statistics & Probability Letters, Elsevier, vol. 174(C).
  16. Sigrid Källblad, 2017. "Risk- and ambiguity-averse portfolio optimization with quasiconcave utility functionals," Finance and Stochastics, Springer, vol. 21(2), pages 397-425, April.
  17. Roger J. A. Laeven & John G. M. Schoenmakers & Nikolaus F. F. Schweizer & Mitja Stadje, 2020. "Robust Multiple Stopping -- A Pathwise Duality Approach," Papers 2006.01802, arXiv.org, revised Sep 2021.
  18. Wei Chen, 2013. "Fractional G-White Noise Theory, Wavelet Decomposition for Fractional G-Brownian Motion, and Bid-Ask Pricing Application to Finance Under Uncertainty," Papers 1306.4070, arXiv.org.
  19. Siu, Tak Kuen, 2016. "A functional Itô’s calculus approach to convex risk measures with jump diffusion," European Journal of Operational Research, Elsevier, vol. 250(3), pages 874-883.
  20. Zhao, Guoqing & Zhai, Kun & Zong, Gaofeng, 2018. "On optimal stopping and free boundary problems under ambiguity," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 129-134.
  21. Zachary Feinstein & Birgit Rudloff, 2018. "Time consistency for scalar multivariate risk measures," Papers 1810.04978, arXiv.org, revised Nov 2021.
  22. Ji, Ronglin & Shi, Xuejun & Wang, Shijie & Zhou, Jinming, 2022. "Convexity and sublinearity of g-expectations," Statistics & Probability Letters, Elsevier, vol. 189(C).
  23. Gechun Liang & Yifan Sun & Thaleia Zariphopoulou, 2023. "Representation of forward performance criteria with random endowment via FBSDE and its application to forward optimized certainty equivalent," Papers 2401.00103, arXiv.org, revised Oct 2025.
  24. Zachary Feinstein & Birgit Rudloff, 2018. "Scalar multivariate risk measures with a single eligible asset," Papers 1807.10694, arXiv.org, revised Feb 2021.
  25. Yanhong Chen & Zachary Feinstein, 2022. "Set-valued dynamic risk measures for processes and for vectors," Finance and Stochastics, Springer, vol. 26(3), pages 505-533, July.
  26. Yuan, Hongmin & Jiang, Long & Tian, Dejian, 2020. "Representation theorems for WVaR with respect to a capacity," Statistics & Probability Letters, Elsevier, vol. 158(C).
  27. Barigou, Karim & Chen, Ze & Dhaene, Jan, 2019. "Fair dynamic valuation of insurance liabilities: Merging actuarial judgement with market- and time-consistency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 19-29.
  28. Thai Nguyen & Mitja Stadje, 2020. "Utility maximization under endogenous pricing," Papers 2005.04312, arXiv.org, revised Jan 2026.
  29. repec:hum:wpaper:sfb649dp2011-061 is not listed on IDEAS
  30. Sigrid Källblad & Jan Obłój & Thaleia Zariphopoulou, 2018. "Dynamically consistent investment under model uncertainty: the robust forward criteria," Finance and Stochastics, Springer, vol. 22(4), pages 879-918, October.
  31. Zachary Feinstein & Birgit Rudloff, 2015. "A Supermartingale Relation for Multivariate Risk Measures," Papers 1510.05561, arXiv.org, revised Jan 2018.
  32. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2024. "Geometric BSDEs," Papers 2405.09260, arXiv.org, revised Sep 2025.
  33. Irina Penner & Anthony Réveillac, 2015. "Risk measures for processes and BSDEs," Finance and Stochastics, Springer, vol. 19(1), pages 23-66, January.
  34. Yang Shen & Tak Kuen Siu, 2018. "A Risk-Based Approach for Asset Allocation with A Defaultable Share," Risks, MDPI, vol. 6(1), pages 1-27, February.
  35. Samuel N. Cohen, 2011. "Representing filtration consistent nonlinear expectations as $g$-expectations in general probability spaces," Papers 1102.5287, arXiv.org.
  36. Elisa Mastrogiacomo & Emanuela Rosazza Gianin, 2024. "Dynamic capital allocation rules via BSDEs: an axiomatic approach," Annals of Operations Research, Springer, vol. 336(1), pages 749-772, May.
  37. Volker Krätschmer & Marcel Ladkau & Roger J. A. Laeven & John G. M. Schoenmakers & Mitja Stadje, 2018. "Optimal Stopping Under Uncertainty in Drift and Jump Intensity," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1177-1209, November.
  38. Alessandro Calvia & Emanuela Rosazza Gianin, 2019. "Risk measures and progressive enlargement of filtration: a BSDE approach," Papers 1904.13257, arXiv.org, revised Mar 2020.
  39. Bellini, Fabio & Laeven, Roger J.A. & Rosazza Gianin, Emanuela, 2021. "Dynamic robust Orlicz premia and Haezendonck–Goovaerts risk measures," European Journal of Operational Research, Elsevier, vol. 291(2), pages 438-446.
  40. Chen, Ze & Chen, Bingzheng & Dhaene, Jan & Yang, Tianyu, 2021. "Fair dynamic valuation of insurance liabilities via convex hedging," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 1-13.
  41. Andrzej Ruszczynski & Jianing Yao, 2017. "A Dual Method For Backward Stochastic Differential Equations with Application to Risk Valuation," Papers 1701.06234, arXiv.org, revised Aug 2020.
  42. Martijn Pistorius & Mitja Stadje, 2016. "On Dynamic Deviation Measures and Continuous-Time Portfolio Optimisation," Papers 1604.08037, arXiv.org.
  43. Elisa Mastrogiacomo & Emanuela Rosazza Gianin, 2019. "Time-consistency of risk measures: how strong is such a property?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 287-317, June.
  44. Jocelyne Bion-Nadal & Giulia Nunno, 2013. "Dynamic no-good-deal pricing measures and extension theorems for linear operators on L ∞," Finance and Stochastics, Springer, vol. 17(3), pages 587-613, July.
  45. Dejian Tian, 2022. "Pricing principle via Tsallis relative entropy in incomplete market," Papers 2201.05316, arXiv.org, revised Oct 2022.
  46. Vorbrink, Jörg, 2014. "Financial markets with volatility uncertainty," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 64-78.
  47. Jocelyne Bion-Nadal & Giulia Di Nunno, 2011. "Extension theorems for linear operators on $L_\infty$ and application to price systems," Papers 1102.5501, arXiv.org.
  48. Mitja Stadje, 2018. "Representation Results for Law Invariant Recursive Dynamic Deviation Measures and Risk Sharing," Papers 1811.09615, arXiv.org, revised Dec 2018.
  49. Masaaki Fukasawa & Mitja Stadje, 2017. "Perfect hedging under endogenous permanent market impacts," Papers 1702.01385, arXiv.org.
  50. Rodwell Kufakunesu & Calisto Guambe & Lesedi Mabitsela, 2018. "Risk-based optimal portfolio of an insurer with regime switching and noisy memory," Papers 1808.04604, arXiv.org, revised Mar 2019.
  51. Zhou, Qianqian & Sakhanenko, Alexander & Guo, Junyi, 2024. "Central limit theorem with rate of convergence under sublinear expectations," Stochastic Processes and their Applications, Elsevier, vol. 172(C).
  52. Fan, Shengjun & Hu, Ying & Tang, Shanjian, 2023. "Existence, uniqueness and comparison theorem on unbounded solutions of scalar super-linear BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 157(C), pages 335-375.
  53. Alessandro Doldi & Marco Frittelli, 2021. "Real-Valued Systemic Risk Measures," Mathematics, MDPI, vol. 9(9), pages 1-24, April.
  54. Roger J. A. Laeven & John G. M. Schoenmakers & Nikolaus Schweizer & Mitja Stadje, 2025. "Robust Multiple Stopping—A Duality Approach," Mathematics of Operations Research, INFORMS, vol. 50(2), pages 1250-1276, May.
  55. Sigrid Kallblad, 2013. "Risk- and ambiguity-averse portfolio optimization with quasiconcave utility functionals," Papers 1311.7419, arXiv.org.
  56. Alessandro Doldi & Marco Frittelli, 2020. "Conditional Systemic Risk Measures," Papers 2010.11515, arXiv.org, revised May 2021.
  57. Zachary Feinstein & Birgit Rudloff, 2012. "Time consistency of dynamic risk measures in markets with transaction costs," Papers 1201.1483, arXiv.org, revised Dec 2012.
  58. Dejian Tian & Xunlian Wang, 2023. "Dynamic star-shaped risk measures and $g$-expectations," Papers 2305.02481, arXiv.org.
  59. Roger J. A. Laeven & Mitja Stadje, 2014. "Robust Portfolio Choice and Indifference Valuation," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1109-1141, November.
  60. Zachary Feinstein & Birgit Rudloff, 2015. "Multi-portfolio time consistency for set-valued convex and coherent risk measures," Finance and Stochastics, Springer, vol. 19(1), pages 67-107, January.
  61. Zheng, Shiqiu, 2024. "On g-expectations and filtration-consistent nonlinear expectations," Stochastic Processes and their Applications, Elsevier, vol. 178(C).
  62. Peng Luo & Alexander Schied & Xiaole Xue, 2024. "The perturbation method applied to a robust optimization problem with constraint," Mathematics and Financial Economics, Springer, volume 18, number 4, June.
  63. Masaaki Fukasawa & Mitja Stadje, 2018. "Perfect hedging under endogenous permanent market impacts," Finance and Stochastics, Springer, vol. 22(2), pages 417-442, April.
  64. Sigrid Kallblad & Jan Obloj & Thaleia Zariphopoulou, 2013. "Time--consistent investment under model uncertainty: the robust forward criteria," Papers 1311.3529, arXiv.org, revised Nov 2014.
  65. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2023. "Dynamic Return and Star-Shaped Risk Measures via BSDEs," Papers 2307.03447, arXiv.org, revised Jul 2023.
  66. Klebert Kentia & Christoph Kuhn, 2017. "Nash equilibria for game contingent claims with utility-based hedging," Papers 1707.09351, arXiv.org, revised Sep 2018.
  67. Dilip B. Madan, 2010. "Conserving Capital by Adjusting Deltas for Gamma in the Presence of Skewness," JRFM, MDPI, vol. 3(1), pages 1-25, December.
  68. Quenez, Marie-Claire & Sulem, Agnès, 2013. "BSDEs with jumps, optimization and applications to dynamic risk measures," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 3328-3357.
  69. Ludovic Tangpi, 2018. "Concentration of dynamic risk measures in a Brownian filtration," Papers 1805.09014, arXiv.org.
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