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.Effectivity function; lattice; stability index; equilibrium; Nakamura number