EconPapers has moved to http://EconPapers.repec.org! Please update your bookmarks.
A Stability Index for Local Effectivity Functions
Joseph Moussa Abdou Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
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)
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00331223
References: Add references at CitEc Citations Track citations by RSS feed
Downloads: (external link) http://halshs.archives-ouvertes.fr/docs/00/33/12/23/PDF/B08056.pdf (application/pdf)
Related works: Journal Article: A stability index for local effectivity functions (2010) Working Paper: A Stability Index for Local Effectivity Functions (2010) Working Paper: A Stability Index for Local Effectivity Functions (2009) Working Paper: A Stability Index for Local Effectivity Functions (2009) Working Paper: A stability index for local effectivity functions (2008) This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: http://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00331223
Access Statistics for this paper
More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Series data maintained by CCSD ().