A stability index for local effectivity functions

Abdou, Joseph

A stability index for local effectivity functions

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

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: Effectivity function; local effectivity function; acyclicity; stability index; Nakamura Number; acyclicity (search for similar items in EconPapers)
JEL-codes: C70 D71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2008-07
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:b08056

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