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A stability index for local effectivity functions

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Author Info
Joseph Abdou () (Centre d'Economie de la Sorbonne - Paris School of Economics)

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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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2008/B08056.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b08056.

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Length: 18 pages
Date of creation: Jul 2008
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Handle: RePEc:mse:cesdoc:b08056

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: Effectivity function; local effectivity function; acyclicity; stability index; Nakamura Number; acyclicity.;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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  1. Joseph Abdou, 2009. "The Structure of Unstable Power Systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00389181_v1, HAL. [Downloadable!]
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