Stability and Index of the Meet Game on a Lattice

Joseph M. Abdou (1, 2)

1 CES - Centre d'économie de la Sorbonne
2 PSE - Paris School of Economics

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.

Mots clés: Effectivity Function; Lattice; Stability Index; Equilibrium; Nakamura Number

Domaines: Economies et finances; Mathématique discrète [cs.DM]

Joseph M. Abdou. Stability and Index of the Meet Game on a Lattice. International Journal of Game Theory, 2012, 41 (4), pp.775-789. ⟨10.1007/s00182-012-0339-5⟩. ⟨halshs-00633589⟩