A Stability Index for Local Effectivity Functions
AbstractWe 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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Date of creation: Jan 2009
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Stability index; acyclicity; strong Nash Equilibrium; core; solvability; consistency; simple game; effectivity function;
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