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Stability and Index of the Meet Game on a Lattice

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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Contributor : Joseph Abdou <>
Submitted on : Tuesday, October 18, 2011 - 10:13:02 PM
Last modification on : Tuesday, December 1, 2020 - 3:43:16 AM
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Joseph Abdou. Stability and Index of the Meet Game on a Lattice. International Journal of Game Theory, Springer Verlag, 2012, 41 (4), pp.775-789. ⟨10.1007/s00182-012-0339-5⟩. ⟨halshs-00633589⟩

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