Stability and index of the meet game on a lattice

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Article ID:	iaor20128256
Volume:	41
Issue:	4
Start Page Number:	775
End Page Number:	789
Publication Date:	Nov 2012
Journal:	International Journal of Game Theory
Authors:	Abdou Joseph
Keywords:	lattice processes

Abstract:

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.

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