Stability and Index of the Meet Game on a Lattice

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We study the stability and the stability index of the meet game form defined on a meet semilattice. Given any active coalition structure, we show that the stability index relative to the equilibrium, to the beta core and to the exact core is a function of the Nakamura number, the depth of the semilattice and its gap function.

, 17 pages


International Journal of Game Theory, 41, 775–789, 2012 référence BibTeX