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Differential Games with (A) symmetric Players and Heterogeneous Strategies

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  • Benteng Zou

    (CREA, University of Luxembourg, Luxembourg)

Abstract

One family of heterogeneous strategies in differential games with (a)symmetric players is developed in which one player adopts an anticipating open-loop strategy and the other adopts a standard Markovian strategy. Via conjecturing principle, the anticipating open-loop strategic player plans her strategy based on the possible updating the rival player may take. These asymmetric strategies should be appropriate choices in some modelling circumstances and they frame one of the infinitely many non-degenerate Markovian Nash Equilibrium. Except the stationary path, this kind of strategy makes the study of short-run trajectory possible, which usually are not subgame perfect. However, the shortrun non-perfection may provide very important policy suggestions.

Suggested Citation

  • Benteng Zou, 2016. "Differential Games with (A) symmetric Players and Heterogeneous Strategies," Journal of Reviews on Global Economics, Lifescience Global, vol. 5, pages 171-179.
    • Handle: RePEc:lif:jrgelg:v:5:y:2016:p:171-179
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    File URL: http://www.lifescienceglobal.com/independent-journals/journal-of-reviews-on-global-economics/volume-5/85-abstract/jrge/2289-abstract-differential-games-with-a-symmetric-players-and-heterogeneous-strategies
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    Cited by:

    1. Raouf Boucekkine & Carmen Camacho & Weihua Ruan & Benteng Zou, 2022. "Optimal coalition splitting with heterogenous strategies," Working Papers halshs-03770401, HAL.

    More about this item

    Keywords

    Differential game; Heterogeneous strategy; subgame perfect Markovian Nash Equilibrium; anticipating open-loop strategy;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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