Stability and Index of the Meet Game on a Lattice

Joseph Abdou

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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.

Keywords: Effectivity Function; Lattice; Stability Index; Equilibrium; Nakamura Number (search for similar items in EconPapers)
Date: 2012-11
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00633589v1
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Published in International Journal of Game Theory, 2012, 41 (4), pp.775-789. ⟨10.1007/s00182-012-0339-5⟩

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Related works:
Journal Article: Stability and index of the meet game on a lattice (2012)
Working Paper: Stability and Index of the Meet Game on a Lattice (2012)
Working Paper: Stability and Index of the Meet Game on a Lattice (2012)
Working Paper: Stability and Index of the Meet Game on a Lattice (2010)
Working Paper: Stability and Index of the Meet Game on a Lattice (2010)
Working Paper: Stability and Index of the Meet Game on a Lattice (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00633589

DOI: 10.1007/s00182-012-0339-5

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