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On Time Consistency in Stackelberg Differential Games

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  • Mino, Kazuo

Abstract

This paper explores a class of Stackelberg differential games in which the open-loop strategies of the leader satisfies time consistency. We show that in this class of games the open-loop equilibrium coincides with the corresponding feedback equilibrium. The analytical framework used in this paper involves the models examined by the several recent contributions to the time consistency issue as special cases.

Suggested Citation

  • Mino, Kazuo, 2001. "On Time Consistency in Stackelberg Differential Games," MPRA Paper 17028, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:17028
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    File URL: https://mpra.ub.uni-muenchen.de/17028/1/MPRA_paper_17028.pdf
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    References listed on IDEAS

    as
    1. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    2. Mino, Kazuo, 2001. "Optimal taxation in dynamic economies with increasing returns," Japan and the World Economy, Elsevier, vol. 13(3), pages 235-253, August.
    3. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    4. Lansing, Kevin J., 1999. "Optimal redistributive capital taxation in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 73(3), pages 423-453, September.
    5. Kemp, Murray C & Long, Ngo Van & Shimomura, Koji, 1993. "Cyclical and Noncyclical Redistributive Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 415-429, May.
    6. Xie, Danyang, 1997. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Journal of Economic Theory, Elsevier, vol. 76(2), pages 412-430, October.
    7. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, September.
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    Cited by:

    1. Mino, Kazuo, 2004. "On the Generalized Weitzman's Rule," MPRA Paper 16996, University Library of Munich, Germany.
    2. Mino, Kazuo, 2001. "Optimal taxation in dynamic economies with increasing returns," Japan and the World Economy, Elsevier, vol. 13(3), pages 235-253, August.

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    More about this item

    Keywords

    Stackelberg differential game; open-loop equilibrium; feedback equilibrium; time consistency;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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