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Static Stability in Games

Author

Listed:
  • Igal Milchtaich

    (Bar Ilan University)

Abstract

Static stability of equilibrium in strategic games differs from dynamic stability in not being linked to any particular dynamical system. In other words, it does not make any assumptions about off-equilibrium behavior. Examples of static notions of stability include evolutionarily stable strategy (ESS) and continuously stable strategy (CSS), both of which are meaningful or justifiable only for particular classes of games, namely, symmetric multilinear games or symmetric games with a unidimensional strategy space, respectively. This paper presents a general notion of local static stability, of which the above two are essentially special cases. It is applicable to virtually all n-person strategic games, both symmetric and asymmetric, with non-discrete strategy spaces.

Suggested Citation

  • Igal Milchtaich, 2008. "Static Stability in Games," Working Papers 2008-04, Bar-Ilan University, Department of Economics.
    • Handle: RePEc:biu:wpaper:2008-04
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    More about this item

    Keywords

    Stability of equilibrium; static stability;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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