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Self-coordination in time inconsistent stochastic decision problems: A planner–doer game framework

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  • Cui, Xiangyu
  • Li, Duan
  • Shi, Yun

Abstract

Time inconsistency has been a thorny issue in many economic and financial decision making problems, especially when risk measures are involved in performance criteria. We develop in this paper a two-tier planner–doer game framework with self-coordination. By aligning the global interest of the planner and the local interests of the doers by applying suitable penalty functions, a degree of internal harmony (measured quantitatively by the expected cost of self-coordination) can be achieved by the self-coordination policy. We establish an axiom system for modified preferences, under which the self-coordination policy can be obtained by solving a corresponding optimization problem. We then apply our game framework successfully in dynamic mean-variance portfolio selection.

Suggested Citation

  • Cui, Xiangyu & Li, Duan & Shi, Yun, 2017. "Self-coordination in time inconsistent stochastic decision problems: A planner–doer game framework," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 91-113.
    • Handle: RePEc:eee:dyncon:v:75:y:2017:i:c:p:91-113
    DOI: 10.1016/j.jedc.2016.12.001
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    References listed on IDEAS

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    1. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    2. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    3. Stefano DellaVigna & Ulrike Malmendier, 2004. "Contract Design and Self-Control: Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 353-402.
    4. Grenadier, Steven R. & Wang, Neng, 2007. "Investment under uncertainty and time-inconsistent preferences," Journal of Financial Economics, Elsevier, vol. 84(1), pages 2-39, April.
    5. Thaler, Richard H & Shefrin, H M, 1981. "An Economic Theory of Self-Control," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 392-406, April.
    6. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    7. Ted O'Donoghue & Matthew Rabin, 2001. "Choice and Procrastination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 121-160.
    8. Drew Fudenberg & David K. Levine, 2012. "Timing and Self‐Control," Econometrica, Econometric Society, vol. 80(1), pages 1-42, January.
    9. Tian, Yuan, 2016. "Optimal capital structure and investment decisions under time-inconsistent preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 65(C), pages 83-104.
    10. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," The Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
    11. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    12. Kang Boda & Jerzy Filar, 2006. "Time Consistent Dynamic Risk Measures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 169-186, February.
    13. 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.
    14. Chen, Shumin & Li, Zhongfei & Zeng, Yan, 2014. "Optimal dividend strategies with time-inconsistent preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 150-172.
    15. Chen, Zhiping & Li, Gang & Zhao, Yonggan, 2014. "Time-consistent investment policies in Markovian markets: A case of mean–variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 293-316.
    16. Duan Li & Wan‐Lung Ng, 2000. "Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 387-406, July.
    17. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    18. Benabou, Roland & Pycia, Marek, 2002. "Dynamic inconsistency and self-control: a planner-doer interpretation," Economics Letters, Elsevier, vol. 77(3), pages 419-424, November.
    19. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
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    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. Alain Bensoussan & Kwok Chuen Wong & Sheung Chi Phillip Yam, 2019. "A paradox in time-consistency in the mean–variance problem?," Finance and Stochastics, Springer, vol. 23(1), pages 173-207, January.
    3. Cui, Xiangyu & Gao, Jianjun & Shi, Yun & Zhu, Shushang, 2019. "Time-consistent and self-coordination strategies for multi-period mean-Conditional Value-at-Risk portfolio selection," European Journal of Operational Research, Elsevier, vol. 276(2), pages 781-789.
    4. Ishak Alia & Farid Chighoub & Nabil Khelfallah & Josep Vives, 2021. "Time-Consistent Investment and Consumption Strategies under a General Discount Function," JRFM, MDPI, vol. 14(2), pages 1-27, February.

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    More about this item

    Keywords

    G11; C7; Time inconsistency; Self-coordination; Two-tier planner–doer game framework; Commitment by punishment; Cost of self-coordination; Dynamic mean-variance formulation;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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