A stability index for local effectivity functions

Abdou, Joseph

A stability index for local effectivity functions

Mathematical Social Sciences, 2010, vol. 59, issue 3, 306-313

Abstract: We study the structure of unstable local effectivity functions defined for n players and p alternatives. A stability index based on the notion of cycle is introduced. In the particular case of simple games, the stability index is closely related to the Nakamura Number. In general it may be any integer between 2 and p. We prove that the stability index for maximal effectivity functions and for maximal local effectivity functions is either 2 or 3.

Keywords: Stability; index; Strong; Nash; equilibrium; Core; Solvability; Simple; game; Effectivity; function (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:59:y:2010:i:3:p:306-313

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