Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
972977 | Mathematical Social Sciences | 2010 | 8 Pages |
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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Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Joseph Abdou,