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Dynamic Inconsistency in Pension Fund Management

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  • Chiaki Hara

    (Professor, Institute of Economic Research, Kyoto University)

  • Kenjiro Hirata

    (Lecturer, Faculty of Economics, Kobe International University)

Abstract

We formulate the pension fund's problem of choosing optimal pension schemes in an inflnite, discrete-time setting as a sequence of Nash bargaining problems in which the members (contributors) of the fund are the bargainers and the disagreement points are determined by the utility levels they can attain by quitting and receiving lump-sum payments from the fund. We show that if the members are heterogeneous in their subjective time discount rates, then the sequence of the Nash bargaining solutions, obtained at each point in time, leads to an inefficient allocation of consumption processes, thereby indicating a source of dynamic inconsistency in pension fund management. Based on a set of micro data, we show the welfare loss of dynamic inconsistency can be as high as 14% of the members' total wealth, and the dynamically inconsistent choices of pension schemes tend to favor myopic members.

Suggested Citation

  • Chiaki Hara & Kenjiro Hirata, 2015. "Dynamic Inconsistency in Pension Fund Management," KIER Working Papers 916, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:916
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    References listed on IDEAS

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    1. Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-1161, July.
    2. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December.
    3. Prescott, Edward C & Lucas, Robert E, Jr, 1972. "A Note on Price Systems in Infinite Dimensional Space," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(2), pages 416-422, June.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    6. Martin L. Weitzman, 2001. "Gamma Discounting," American Economic Review, American Economic Association, vol. 91(1), pages 260-271, March.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
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