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A Stability Index for Local Effectivity Functions

By Joseph Abdou

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

Topics: Stability Index, Acyclicity, Strong Nash Equilibrium, Core, Solvability, Consistency, Simple Game, Effectivity Function
Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.370.9701
Provided by: CiteSeerX
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