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Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment

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Cited by:

  1. Guo, Dongmei & Hu, Yi & Wang, Shouyang & Zhao, Lin, 2016. "Comparing risks with reference points: A stochastic dominance approach," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 105-116.
  2. Butt, Adam & Donald, M. Scott & Foster, F. Douglas & Thorp, Susan & Warren, Geoffrey J., 2018. "One size fits all? Tailoring retirement plan defaults," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 546-566.
  3. Mahesh Nagarajan & Steven Shechter, 2014. "Prospect Theory and the Newsvendor Problem," Management Science, INFORMS, vol. 60(4), pages 1057-1062, April.
  4. Tongyao Wang & Qitong Pan & Weiping Wu & Jianjun Gao & Ke Zhou, 2024. "Dynamic Mean–Variance Portfolio Optimization with Value-at-Risk Constraint in Continuous Time," Mathematics, MDPI, vol. 12(14), pages 1-17, July.
  5. Georgalos, Konstantinos & Paya, Ivan & Peel, David A., 2021. "On the contribution of the Markowitz model of utility to explain risky choice in experimental research," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 527-543.
  6. Wang, Ruopeng & Wang, Jinting, 2018. "Procurement strategies with quantity-oriented reference point and loss aversion," Omega, Elsevier, vol. 80(C), pages 1-11.
  7. Romain Blanchard & Laurence Carassus & Miklós Rásonyi, 2018. "No-arbitrage and optimal investment with possibly non-concave utilities: a measure theoretical approach," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 241-281, October.
  8. Feng, Jianghong & Guo, Ping & Xu, Guangyi & Xu, Gangyan & Ning, Yu, 2024. "An integrated decision framework for resilient sustainable waste electric vehicle battery recycling transfer station site selection," Applied Energy, Elsevier, vol. 373(C).
  9. Miklos Rasonyi, 2014. "Optimal investment with bounded above utilities in discrete time markets," Papers 1409.2023, arXiv.org.
  10. Hlouskova, Jaroslava & Tsigaris, Panagiotis, 2012. "What Does it Take for a Specific Prospect Theory Type Household to Engage in Risky Investment?," Economics Series 286, Institute for Advanced Studies.
  11. De Giorgi, Enrico G. & Legg, Shane, 2012. "Dynamic portfolio choice and asset pricing with narrow framing and probability weighting," Journal of Economic Dynamics and Control, Elsevier, vol. 36(7), pages 951-972.
  12. Qizhu Liang & Jie Xiong, 2017. "Stochastic maximum principle under probability distortion," Papers 1710.11432, arXiv.org, revised Aug 2018.
  13. Jin, Xiu & Chen, Na & Yuan, Ying, 2019. "Multi-period and tri-objective uncertain portfolio selection model: A behavioral approach," The North American Journal of Economics and Finance, Elsevier, vol. 47(C), pages 492-504.
  14. Nuerxiati Abudurexiti & Erhan Bayraktar & Takaki Hayashi & Hasanjan Sayit, 2024. "Two-fund separation under hyperbolically distributed returns and concave utility function," Papers 2410.04459, arXiv.org, revised Jan 2025.
  15. Dian Yu & Jianjun Gao & Weiping Wu & Zizhuo Wang, 2022. "Price Interpretability of Prediction Markets: A Convergence Analysis," Papers 2205.08913, arXiv.org, revised Nov 2023.
  16. Fortin, Ines & Hlouskova, Jaroslava & Tsigaris, Panagiotis, 2016. "The Consumption-Investment Decision of a Prospect Theory Household," Economics Series 322, Institute for Advanced Studies.
  17. Stelios Arvanitis & Olivier Scaillet & Nikolas Topaloglou, 2024. "Spanning Analysis of Stock Market Anomalies Under Prospect Stochastic Dominance," Management Science, INFORMS, vol. 70(9), pages 6002-6025, September.
  18. Topaloglou, Nikolas & Tsionas, Mike G., 2020. "Stochastic dominance tests," Journal of Economic Dynamics and Control, Elsevier, vol. 112(C).
  19. Miklós Rásonyi & Andrea Rodrigues, 2013. "Optimal portfolio choice for a behavioural investor in continuous-time markets," Annals of Finance, Springer, vol. 9(2), pages 291-318, May.
  20. Jesus Crespo Cuaresma & Ines Fortin & Jaroslava Hlouskova, 2018. "Exchange rate forecasting and the performance of currency portfolios," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 37(5), pages 519-540, August.
  21. Dennis W. Jansen & Liqun Liu, 2022. "Portfolio choice in the model of expected utility with a safety-first component," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 187-207, June.
  22. Foster, Jarred & Krawczyk, Jacek B, 2013. "Sensitivity of cautious-relaxed investment policies to target variation," Working Paper Series 2972, Victoria University of Wellington, School of Economics and Finance.
  23. Li, Hongping & Zha, Yong & Bi, Gongbing, 2023. "Agricultural insurance and power structure in a capital-constrained supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
  24. Chao Gong & Chunhui Xu & Ji Wang, 2018. "An Efficient Adaptive Real Coded Genetic Algorithm to Solve the Portfolio Choice Problem Under Cumulative Prospect Theory," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 227-252, June.
  25. Di Giacinto, Marina & Federico, Salvatore & Gozzi, Fausto & Vigna, Elena, 2014. "Income drawdown option with minimum guarantee," European Journal of Operational Research, Elsevier, vol. 234(3), pages 610-624.
  26. Michael J. Best & Robert R. Grauer, 2017. "Humans, Econs and Portfolio Choice," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 1-30, June.
  27. Guan, Guohui & Liang, Zongxia, 2016. "Optimal management of DC pension plan under loss aversion and Value-at-Risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 224-237.
  28. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
  29. Liurui Deng & Traian A. Pirvu, 2016. "Multi-period investment strategies under Cumulative Prospect Theory," Papers 1608.08490, arXiv.org, revised Mar 2019.
  30. Liu, Shuangzhe & Ma, Tiefeng & Polasek, Wolfgang, 2014. "Spatial system estimators for panel models: A sensitivity and simulation study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 101(C), pages 78-102.
  31. Xun Li & Xiang Yu & Qinyi Zhang, 2021. "Optimal consumption with loss aversion and reference to past spending maximum," Papers 2108.02648, arXiv.org, revised Mar 2024.
  32. Eric Luxenberg & Philipp Schiele & Stephen Boyd, 2024. "Portfolio Optimization with Cumulative Prospect Theory Utility via Convex Optimization," Computational Economics, Springer;Society for Computational Economics, vol. 64(5), pages 3027-3047, November.
  33. Jules Clément Mba & Kofi Agyarko Ababio & Samuel Kwaku Agyei, 2022. "Markowitz Mean-Variance Portfolio Selection and Optimization under a Behavioral Spectacle: New Empirical Evidence," IJFS, MDPI, vol. 10(2), pages 1-16, April.
  34. Weiping Wu & Yu Lin & Jianjun Gao & Ke Zhou, 2023. "Mean-variance hybrid portfolio optimization with quantile-based risk measure," Papers 2303.15830, arXiv.org, revised Apr 2023.
  35. Matteo Del Vigna, 2011. "Financial market equilibria with heterogeneous agents: CAPM and market segmentation," Working Papers - Mathematical Economics 2011-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  36. Jaroslava Hlouskova & Panagiotis Tsigaris, 2012. "Capital income taxation and risk taking under prospect theory," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(4), pages 554-573, August.
  37. Michael Best & Robert Grauer & Jaroslava Hlouskova & Xili Zhang, 2014. "Loss-Aversion with Kinked Linear Utility Functions," Computational Economics, Springer;Society for Computational Economics, vol. 44(1), pages 45-65, June.
  38. Gian Paolo Clemente & Rosanna Grassi & Asmerilda Hitaj, 2018. "Asset allocation: new evidence through network approaches," Papers 1810.09825, arXiv.org.
  39. Paolo Guasoni & Andrea Meireles-Rodrigues, 2020. "Reference Dependence and Market Participation," Mathematics of Operations Research, INFORMS, vol. 45(1), pages 129-156, February.
  40. Paolo Giudici & Gloria Polinesi & Alessandro Spelta, 2022. "Network models to improve robot advisory portfolios," Annals of Operations Research, Springer, vol. 313(2), pages 965-989, June.
  41. Guo, Jing & He, Xue Dong, 2017. "Equilibrium asset pricing with Epstein-Zin and loss-averse investors," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 86-108.
  42. Carole Bernard & Gero Junike & Thibaut Lux & Steven Vanduffel, 2024. "Cost-efficient payoffs under model ambiguity," Finance and Stochastics, Springer, vol. 28(4), pages 965-997, October.
  43. Sun, Xianming & Gan, Siqing & Vanmaele, Michèle, 2015. "Analytical approximation for distorted expectations," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 246-252.
  44. Gao, Jianjun & Li, Yaoming & Shi, Yun & Xie, Jinyan, 2024. "Multi-period portfolio choice under loss aversion with dynamic reference point in serially correlated market," Omega, Elsevier, vol. 127(C).
  45. Georges Hübner & Thomas Lejeune, 2015. "Portfolio choice and investor preferences : A semi-parametric approach based on risk horizon," Working Paper Research 289, National Bank of Belgium.
  46. Huy N. Chau & Mikl'os R'asonyi, 2016. "Skorohod's representation theorem and optimal strategies for markets with frictions," Papers 1606.07311, arXiv.org, revised Apr 2017.
  47. Fortin, Ines & Hlouskova, Jaroslava, 2024. "Prospect theory and asset allocation," The Quarterly Review of Economics and Finance, Elsevier, vol. 94(C), pages 214-240.
  48. Lou, Youcheng & Strub, Moris S. & Li, Duan & Wang, Shouyang, 2021. "The impact of a reference point determined by social comparison on wealth growth and inequality," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
  49. Wang, Jianli & Liu, Liqun & Neilson, William S., 2020. "The participation puzzle with reference-dependent expected utility preferences," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 278-287.
  50. Miklos Rasonyi & Andrea M. Rodrigues, 2012. "Optimal Portfolio Choice for a Behavioural Investor in Continuous-Time Markets," Papers 1202.0628, arXiv.org, revised Apr 2013.
  51. Giorgio Consigli & Asmerilda Hitaj & Elisa Mastrogiacomo, 2019. "Portfolio choice under cumulative prospect theory: sensitivity analysis and an empirical study," Computational Management Science, Springer, vol. 16(1), pages 129-154, February.
  52. Hlouskova, Jaroslava & Fortin, Ines & Tsigaris, Panagiotis, 2017. "The consumption–investment decision of a prospect theory household: A two-period model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 74-89.
  53. Rocciolo, Francesco & Gheno, Andrea & Brooks, Chris, 2022. "Explaining abnormal returns in stock markets: An alpha-neutral version of the CAPM," International Review of Financial Analysis, Elsevier, vol. 82(C).
  54. Hongxia Wang & Duc Khuong Nguyen & Xiong Xiong & Peng-Fei Dai, 2025. "Portfolio choice under loss aversion and diminishing sensitivity: a theoretical extension," Annals of Operations Research, Springer, vol. 347(1), pages 69-85, April.
  55. León, Angel & Moreno, Manuel, 2017. "One-sided performance measures under Gram-Charlier distributions," Journal of Banking & Finance, Elsevier, vol. 74(C), pages 38-50.
  56. Gian Paolo Clemente & Rosanna Grassi & Asmerilda Hitaj, 2021. "Asset allocation: new evidence through network approaches," Annals of Operations Research, Springer, vol. 299(1), pages 61-80, April.
  57. Ghossoub, Mario, 2011. "Towards a Purely Behavioral Definition of Loss Aversion," MPRA Paper 37628, University Library of Munich, Germany, revised 23 Mar 2012.
  58. Marcel Nutz & Yuchong Zhang, 2019. "Conditional Optimal Stopping: A Time-Inconsistent Optimization," Papers 1901.05802, arXiv.org, revised Oct 2019.
  59. Jeon, Junkee & Koo, Hyeng Keun & Shin, Yong Hyun, 2018. "Portfolio selection with consumption ratcheting," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 153-182.
  60. Armstrong, John & Brigo, Damiano, 2019. "Risk managing tail-risk seekers: VaR and expected shortfall vs S-shaped utility," Journal of Banking & Finance, Elsevier, vol. 101(C), pages 122-135.
  61. 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.
  62. Francesco Cesarone & Massimiliano Corradini & Lorenzo Lampariello & Jessica Riccioni, 2023. "A new behavioral model for portfolio selection using the Half-Full/Half-Empty approach," Papers 2312.10749, arXiv.org.
  63. Laurence Carassus & Miklós Rásonyi, 2016. "Maximization of Nonconcave Utility Functions in Discrete-Time Financial Market Models," Mathematics of Operations Research, INFORMS, vol. 41(1), pages 146-173, February.
  64. Yun Shi & Xiangyu Cui & Jing Yao & Duan Li, 2015. "Dynamic Trading with Reference Point Adaptation and Loss Aversion," Operations Research, INFORMS, vol. 63(4), pages 789-806, August.
  65. Curatola, Giuliano, 2017. "Optimal portfolio choice with loss aversion over consumption," The Quarterly Review of Economics and Finance, Elsevier, vol. 66(C), pages 345-358.
  66. Zhao, Jingdong & Zhu, Hongliang & Li, Xindan, 2018. "Optimal execution with price impact under Cumulative Prospect Theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1228-1237.
  67. Yu, Dian & Gao, Jianjun & Wang, Tongyao, 2022. "Betting market equilibrium with heterogeneous beliefs: A prospect theory-based model," European Journal of Operational Research, Elsevier, vol. 298(1), pages 137-151.
  68. Jaroslava Hlouskova & Jana Mikocziova & Rudolf Sivak & Peter Tsigaris, 2014. "Capital Income Taxation and Risk-Taking under Prospect Theory: The Continuous Distribution Case," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 64(5), pages 374-391, November.
  69. Chow, Nikolai Sheung-Chi, 2025. "Risk Measures and Portfolio Choices for Gain-Loss Dependent Objectives," MPRA Paper 124440, University Library of Munich, Germany.
  70. Gao, Jianjun & Li, Duan & Xie, Jinyan & Yang, Yiwen & Yao, Jing, 2024. "When Prospect Theory Meets Mean-Reverting Asset Returns: A Behavioral Dynamic Trading Model," Journal of Banking & Finance, Elsevier, vol. 162(C).
  71. Francesco Menoncin & Elena Vigna, 2013. "Mean-variance target-based optimisation in DC plan with stochastic interest rate," Carlo Alberto Notebooks 337, Collegio Carlo Alberto.
  72. Chen, An & Hentschel, Felix & Klein, Jakob K., 2015. "A utility- and CPT-based comparison of life insurance contracts with guarantees," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 327-339.
  73. Menoncin, Francesco & Vigna, Elena, 2017. "Mean–variance target-based optimisation for defined contribution pension schemes in a stochastic framework," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 172-184.
  74. Ines Fortin & Jaroslava Hlouskova, 2015. "Downside loss aversion: Winner or loser?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(2), pages 181-233, April.
  75. David Alan Peel & David Law, 2017. "Loss Aversion And Ruinous Optimal Wagers In Cumulative Prospect Theory," Economics Bulletin, AccessEcon, vol. 37(1), pages 352-360.
  76. Harris, Richard D. F. & Mazibas, Murat, 2022. "Portfolio optimization with behavioural preferences and investor memory," European Journal of Operational Research, Elsevier, vol. 296(1), pages 368-387.
  77. Bellemare, Charles & Kröger, Sabine & Sossou, Kouamé Marius, 2022. "Optimal frequency of portfolio evaluation in a choice experiment with ambiguity and loss aversion," Journal of Econometrics, Elsevier, vol. 231(1), pages 248-264.
  78. Wang, Suxin & Rong, Ximin & Zhao, Hui, 2019. "Optimal investment and benefit payment strategy under loss aversion for target benefit pension plans," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 205-218.
  79. Stephen G. Dimmock & Roy Kouwenberg & Peter P. Wakker, 2016. "Ambiguity Attitudes in a Large Representative Sample," Management Science, INFORMS, vol. 62(5), pages 1363-1380, May.
  80. Bin Zou & Rudi Zagst, 2015. "Optimal Investment with Transaction Costs under Cumulative Prospect Theory in Discrete Time," Papers 1511.04768, arXiv.org, revised Nov 2016.
  81. Chiu, Mei Choi & Wong, Hoi Ying & Zhao, Jing, 2018. "Dynamic safety first expected utility model," European Journal of Operational Research, Elsevier, vol. 271(1), pages 141-154.
  82. Bi, Xiuchun & Cui, Zhenyu & Fan, Jiacheng & Yuan, Lvning & Zhang, Shuguang, 2023. "Optimal investment problem under behavioral setting: A Lagrange duality perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 156(C).
  83. Zongxia Liang & Yang Liu & Litian Zhang, 2021. "A Framework of State-dependent Utility Optimization with General Benchmarks," Papers 2101.06675, arXiv.org, revised Dec 2023.
  84. Sheng, Jiliang & Xu, Si & An, Yunbi & Yang, Jun, 2021. "Dynamic portfolio strategy by loss-averse fund managers facing performance-induced fund flows," International Review of Financial Analysis, Elsevier, vol. 73(C).
  85. Shi, Yun & Cui, Xiangyu & Li, Duan, 2015. "Discrete-time behavioral portfolio selection under cumulative prospect theory," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 283-302.
  86. Fortin, Ines & Hlouskova, Jaroslava, 2012. "Optimal Asset Allocation under Quadratic Loss Aversion," Economics Series 291, Institute for Advanced Studies.
  87. Felix Reichenbach & Martin Walther, 2023. "Financial recommendations on Reddit, stock returns and cumulative prospect theory," Digital Finance, Springer, vol. 5(2), pages 421-448, June.
  88. Guang Yang & Xinwang Liu, 2018. "A commuter departure-time model based on cumulative prospect theory," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(2), pages 285-307, April.
  89. Haiyan Liu & Bin Wang & Ruodu Wang & Sheng Chao Zhuang, 2023. "Distorted optimal transport," Papers 2308.11238, arXiv.org, revised May 2025.
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