Optimal Investment Strategy for α-Robust Utility Maximization Problem

References

• [1] Björk T, Murgoci A (2010) A general theory of Markovian time inconsistent stochastic control problems. Working Paper, Stockholm School of Economics, Stockholm, Sweden.Google Scholar
• [2] Björk T, Murgoci A, Zhou X (2014) Mean-variance portfolio optimization with state dependent risk aversion. Math. Finance 24(1):1–24.Crossref, Google Scholar
• [3] Bo L, Wang Y, Yang X (2013) Stochastic portfolio optimization with default risk. J. Math. Anal. Appl. 397(2):467–480.Crossref, Google Scholar
• [4] Branger N, Larsen LS, Munk C (2013) Robust portfolio choice with ambiguity and learning about return predictability. J. Bank. Finance 5:1397–1411.Crossref, Google Scholar
• [5] Capponi A, Figueroa JE (2014) Dynamic portfolio optimization with a defaultable security and regime-switching. Math. Finance 24(2):207–249.Crossref, Google Scholar
• [6] Escobar M, Ferrando S, Rubtsov A (2015) Robust portfolio choice with derivative trading under stochastic volatility. J. Bank. Finance 61:142–157.Crossref, Google Scholar
• [7] Flor CR, Hesel S (2015) Uncertain dynamics, correlation effects, and robust investment decisions. J. Econom. Dynam. Control 51:278–298.Crossref, Google Scholar
• [8] Garlappi L, Uppal R, Wang T (2007) Portfolio selection with parameter and model uncertainty: A multi-prior approach. Rev. Financial Stud. 20(1):41–81.Crossref, Google Scholar
• [9] Ghirardato P, Klibanoff P, Marinacci M (1998) Additivity with multiple priors. J. Math. Econom. 30(4):405–420.Crossref, Google Scholar
• [10] Ghirardato P, Maccheroni F, Marinacci M (2004) Differentiating ambiguity and ambiguity attitude. J. Econom. Theory 118(2):133–173.Crossref, Google Scholar
• [11] Heath C, Tversky A (1991) Preference and belief: Ambiguity and competence in choice under uncertainty. J. Risk Uncertain. 4(1):5–28.Crossref, Google Scholar
• [12] Hernández-Hernández D, Schied A (2007) A control approach to robust utility maximization with logarithmic utility and time-consistent penalties. Stochastic Process. Appl. 117(8):980–1000.Crossref, Google Scholar
• [13] Hu Y, Jin H, Zhou XY (2012) Time-inconsistent stochastic linear-quadratic control. SIAM J. Control Optim. 50(3):1548–1572.Crossref, Google Scholar
• [14] Klibanoff P, Marinacci M, Mukerji S (2005) A smooth model of decision making under ambiguity. Econometrica 73(6):1849–1892.Crossref, Google Scholar
• [15] Li B, Li D, Xiong D (2016) Alpha-robust mean-variance reinsurance-investment strategy. J. Econom. Dynam. Control 70:101–123.Crossref, Google Scholar
• [16] Li B, Luo P, Xiong D (2019) Equilibrium strategies for alpha-maxmin expected utility maximization. SIAM J. Financial Math. 10(2):394–429.Crossref, Google Scholar
• [17] Lim AEB, Shanthikumar JG (2007) Relative entropy, exponential utility, and robust dynamic pricing. Oper. Res. 55(2):198–214.Link, Google Scholar
• [18] Lin Q, Luo Y, Sun X (2022) Robust investment strategies with two risky assets. J. Econom. Dynam. Control 134:104275.Crossref, Google Scholar
• [19] Maccheroni F, Marinacci M, Rustichini A (2006) Ambiguity aversion, robustness, and the variational representation of preferences. Econometrica 74(6):1447–1498.Crossref, Google Scholar
• [20] Maenhout PJ (2004) Robust portfolio rules and asset pricing. Rev. Financial Stud. 17(4):951–983.Crossref, Google Scholar
• [21] Marinacci M (2002) Probabilistic sophistication and multiple priors. Econometrica 70(2):755–764.Crossref, Google Scholar
• [22] Merton RC (1969) Lifetime portfolio selection under uncertainty: The continuous time case. Rev. Econom. Statist. 51:247–257.Crossref, Google Scholar
• [23] Niu Y, Yang J, Zou Z (2020) Robust contracts with one-sided commitment. J. Econom. Dynam. Control 117:103942.Crossref, Google Scholar
• [24] Samuelson PA (1969) Lifetime portfolio selection by dynamic stochastic programming. Rev. Econ. Stat. 51:239–246.Crossref, Google Scholar
• [25] Sass J, Westphal D (2022) Robust utilitymaximizing strategies undermodel uncertainty and their convergence. Math. Financial Econom. 16:367–397.Crossref, Google Scholar
• [26] Schied A (2007) Optimal investments for risk-and ambiguity-averse preferences: A duality approach. Finance Stoch. 11(1):107–129.Crossref, Google Scholar
• [27] Zhang L, Li B (2021) Optimal reinsurance under the α-maxmin mean-variance criterion. Insurance Math. Econom. 101:225–239.Crossref, Google Scholar
• [28] Zhao H, Shen Y, Zeng Y (2016) Time-consistent investment-reinsurance strategy for mean-variance insurers with a defaultable security. J. Math. Anal. Appl. 437(2):1036–1057.Crossref, Google Scholar
• [29] Zhou XY, Li D (2000) Continuous-time mean-variance portfolio selection: A stochastic LQ framework. Appl. Math. Optim. 42:19–33.Crossref, Google Scholar