Equilibrium Portfolio Selection for Smooth Ambiguity Preferences

Published Online:https://doi.org/10.1287/moor.2023.0112

References

  • [1] Balter AG, Mahayni A, Schweizer N (2021) Time-consistency of optimal investment under smooth ambiguity. Eur. J. Oper. Res. 293(2):643–657.CrossrefGoogle Scholar
  • [2] Bismuth A, Guéant O, Pu J (2019) Portfolio choice, portfolio liquidation, and portfolio transition under drift uncertainty. Math. Financial Econom. 13(4):661–719.CrossrefGoogle Scholar
  • [3] Björk T, Davis MH, Landén C (2010) Optimal investment under partial information. Math. Methods Oper. Res. 71(2):371–399.CrossrefGoogle Scholar
  • [4] Björk T, Khapko M, Murgoci A (2017) On time-inconsistent stochastic control in continuous time. Finance Stochastics 21(2):331–360.CrossrefGoogle Scholar
  • [5] Brendle S (2006) Portfolio selection under incomplete information. Stochastic Processes Their Appl. 116(5):701–723.CrossrefGoogle Scholar
  • [6] Charness G, Karni E, Levin D (2013) Ambiguity attitudes and social interactions: An experimental investigation. J. Risk Uncertainity 46(1):1–25.CrossrefGoogle Scholar
  • [7] Chen H, Ju N, Miao J (2014) Dynamic asset allocation with ambiguous return predictability. Rev. Econom. Dynamics 17(4):799–823.CrossrefGoogle Scholar
  • [8] Cherbonnier F, Gollier C (2015) Decreasing aversion under ambiguity. J. Econom. Theory 157(1):606–623.CrossrefGoogle Scholar
  • [9] Detemple JB (1986) Asset pricing in a production economy with incomplete information. J. Finance 41(2):383–391.CrossrefGoogle Scholar
  • [10] Ekeland I, Lazrak A (2010) The golden rule when preferences are time inconsistent. Math. Financial Econom. 4(1):29–55.CrossrefGoogle Scholar
  • [11] Ekeland I, Mbodji O, Pirvu TA (2012) Time-consistent portfolio management. SIAM J. Financial Math. 3(1):1–32.CrossrefGoogle Scholar
  • [12] Frick M, Iijima R, Le Yaouanq Y (2022) Objective rationality foundations for (dynamic) α-MEU. J. Econom. Theory 200(1):105394.CrossrefGoogle Scholar
  • [13] Gennotte G (1986) Optimal portfolio choice under incomplete information. J. Finance 41(3):733–746.CrossrefGoogle Scholar
  • [14] Gollier C (2011) Portfolio choices and asset prices: The comparative statics of ambiguity aversion. Rev. Econom. Stud. 78(4):1329–1344.CrossrefGoogle Scholar
  • [15] Guan G, Liang Z, Song Y (2022) The continuous-time pre-commitment KMM problem in incomplete markets. Preprint, submitted October 25, https://arxiv.org/abs/2210.13833.Google Scholar
  • [16] Hansen LP, Miao J (2018) Aversion to ambiguity and model misspecification in dynamic stochastic environments. Proc. Natl. Acad. Sci. USA 115(37):9163–9168.CrossrefGoogle Scholar
  • [17] Hansen LP, Miao J (2022) Asset pricing under smooth ambiguity in continuous time. Econom. Theory 74(2):335–371.CrossrefGoogle Scholar
  • [18] Hata H, Sheu SJ (2018) An optimal consumption and investment problem with partial information. Adv. Appl. Probab. 50(1):131–153.CrossrefGoogle Scholar
  • [19] Hayashi T, Miao J (2011) Intertemporal substitution and recursive smooth ambiguity preferences. Theoret. Econom. 6(3):423–472.CrossrefGoogle Scholar
  • [20] He XD, Jiang ZL (2021) On the equilibrium strategies for time-inconsistent problems in continuous time. SIAM J. Control Optim. 59(5):3860–3886.CrossrefGoogle Scholar
  • [21] He XD, Zhou XY (2022) Who are I: Time inconsistency and intrapersonal conflict and reconciliation. Yin G, Zariphopoulou T, eds. Stochastic Analysis, Filtering, and Stochastic Optimization: A Commemorative Volume to Honor Mark H. A. Davis’s Contributions (Springer International Publishing, Cham, Switzerland), 177–208.CrossrefGoogle Scholar
  • [22] Heath C, Tversky A (1991) Preference and belief: Ambiguity and competence in choice under uncertainty. J. Risk Uncertainity 4(1):5–28.CrossrefGoogle Scholar
  • [23] Hernández C, Possamaï D (2023) Me, myself and I: A general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents. Ann. Appl. Probab. 33(2):1196–1258.CrossrefGoogle Scholar
  • [24] Honda T (2003) Optimal portfolio choice for unobservable and regime-switching mean returns. J. Econom. Dynamics Control 28(1):45–78.CrossrefGoogle Scholar
  • [25] Ju N, Miao J (2012) Ambiguity, learning, and asset returns. Econometrica 80(2):559–591.CrossrefGoogle Scholar
  • [26] Karatzas I, Xue XX (1991) A note on utility maximization under partial observations. Math. Finance 1(2):57–70.CrossrefGoogle Scholar
  • [27] Karatzas I, Zhao X (2001) Bayesian adaptive portfolio optimization. Jouini E, Cvitanic J, Musiela M, eds. Handbooks in Mathematical Finance: Option Pricing, Interest Rates and Risk Management (Cambridge University Press, Cambridge, UK), 632–669.CrossrefGoogle Scholar
  • [28] Klibanoff P, Marinacci M, Mukerji S (2005) A smooth model of decision making under ambiguity. Econometrica 73(6):1849–1892.CrossrefGoogle Scholar
  • [29] Klibanoff P, Marinacci M, Mukerji S (2009) Recursive smooth ambiguity preferences. J. Econom. Theory 144(3):930–976.CrossrefGoogle Scholar
  • [30] Kramkov D, Schachermayer W (1999) The asymptotic elasticity of utility functions and optimal investment in incomplete markets. Ann. Appl. Probab. 9(3):904–950.CrossrefGoogle Scholar
  • [31] Lakner P (1995) Utility maximization with partial information. Stochastic Processes Their Appl. 56(2):247–273.CrossrefGoogle Scholar
  • [32] Lakner P (1998) Optimal trading strategy for an investor: The case of partial information. Stochastic Processes Their Appl. 76(1):77–97.CrossrefGoogle Scholar
  • [33] Marinacci M (2002) Probabilistic sophistication and multiple priors. Econometrica 70(2):755–764.CrossrefGoogle Scholar
  • [34] Merton RC (1969) Lifetime portfolio selection under uncertainty: The continuous-time case. Rev. Econom. Statist. 51(3):247–257.CrossrefGoogle Scholar
  • [35] Merton RC (1971) Optimum consumption and portfolio rules in a continuous-time model. J. Econom. Theory 3(4):373–413.CrossrefGoogle Scholar
  • [36] Rieder U, Bäuerle N (2005) Portfolio optimization with unobservable Markov-modulated drift process. J. Appl. Probab. 42(2):362–378.CrossrefGoogle Scholar
  • [37] Roca M, Hogarth RM, Maule AJ (2006) Ambiguity seeking as a result of the status quo bias. J. Risk Uncertainty 32(1):175–194.CrossrefGoogle Scholar
  • [38] Sass J, Haussmann UG (2004) Optimizing the terminal wealth under partial information: The drift process as a continuous time Markov chain. Finance Stochastics 8(4):553–577.CrossrefGoogle Scholar
  • [39] Strotz RH (1955) Myopia and inconsistency in dynamic utility maximization. Rev. Econom. Stud. 23(3):165–180.CrossrefGoogle Scholar
  • [40] Taboga M (2005) Portfolio selection with two-stage preferences. Finance Res. Lett. 2(3):152–164.CrossrefGoogle Scholar
  • [41] Willett D, Wong J (1965) On the discrete analogues of some generalizations of Gronwall’s inequality. Monatshefte Mathematik 69(4):362–367.CrossrefGoogle Scholar
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