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Stability and Index of the Meet Game on a Lattice

Author

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  • Joseph Abdou

    (Centre d'Economie de la Sorbonne - Paris School of Economics)

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

Suggested Citation

  • Joseph Abdou, 2010. "Stability and Index of the Meet Game on a Lattice," Documents de travail du Centre d'Economie de la Sorbonne 10050, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:10050
    DOI: 10.1007/s00182-012-0339-5
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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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