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:	2008-07
Authors:	Abdou, Joseph
Institutions:	Centre d'Économie de la Sorbonne, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Effectivity function \| local effectivity function \| acyclicity \| stability index \| Nakamura Number

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Extent:	application/pdf
Series:	Documents de travail du Centre d'Economie de la Sorbonne. - ISSN 1955-611X.
Type of publication:	Book / Working Paper
Language:	English
Notes:	18 pages
Classification:	C70 - Game Theory and Bargaining Theory. General ; D71 - Social Choice; Clubs; Committees; Associations
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005670864