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Static Stability in Games

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  • Igal Milchtaich

    ()
    (Bar Ilan University)

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    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.

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    Bibliographic Info

    Paper provided by Department of Economics, Bar-Ilan University in its series Working Papers with number 2008-04.

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    Date of creation: Dec 2008
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    Handle: RePEc:biu:wpaper:2008-04

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    Keywords: Stability of equilibrium; static stability;

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