A Stability Index for Local Effectivity Functions

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.

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Year of publication:	2010-05
Authors:	Abdou, Joseph
Institutions:	HAL
Subject:	Stability Index \| Acyclicity \| Strong Nash Equilibrium \| Core \| Solvability \| Consistency \| Simple Game \| Effectivity Function

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00389003 Published, Mathematical Social Sciences, 2010, 59, 3, 306-313
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010738469