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On Myopic Equilibria in Dynamic Games with Endogenous Discounting

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  • Wilko Bolt
  • Alexander Tieman

Abstract

We derive a stationary equilibrium in a two-player multi-stage game with endogenous discounting. At each stage, the probability to reach the next stage is determined by the players' current actions. We assume that the players are myopic in the sense that they take the future strategies of their opponents as given. We find that the stationary myopic equilibrium of the infinite-horizon multi-stage game corresponds to the infinite repetition of a Nash equilibrium of an induced (one-shot) limit game. Interestingly, this stationary myopic equilibrium is singled out when studying limiting equilibria of the associated multi-stage game with a finite horizon.

Suggested Citation

  • Wilko Bolt & Alexander Tieman, 2005. "On Myopic Equilibria in Dynamic Games with Endogenous Discounting," DNB Working Papers 070, Netherlands Central Bank, Research Department.
  • Handle: RePEc:dnb:dnbwpp:070
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    References listed on IDEAS

    as
    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
    2. Wilko Bolt & Alexander F. Tieman, 2004. "Banking Competition, Risk and Regulation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(4), pages 783-804, December.
    3. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    4. Hausken, Kjell, 2005. "The battle of the sexes when the future is important," Economics Letters, Elsevier, vol. 87(1), pages 89-93, April.
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    More about this item

    Keywords

    dynamic game; myopic equlibrium; discounting; equilibrium selection.;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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