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Stability and index of the meet game on a lattice

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  • 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. Copyright Springer-Verlag 2012

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File URL: http://hdl.handle.net/10.1007/s00182-012-0339-5
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 41 (2012)
Issue (Month): 4 (November)
Pages: 775-789

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Handle: RePEc:spr:jogath:v:41:y:2012:i:4:p:775-789

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Related research

Keywords: Effectivity function; Lattice; Stability index; Equilibrium; Nakamura number; C70; D71; 91A44;

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  1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
  2. Moulin, Hervé & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Economics Papers from University Paris Dauphine 123456789/13220, Paris Dauphine University.
  3. Joseph Abdou, 2008. "A stability index for local effectivity functions," Documents de travail du Centre d'Economie de la Sorbonne b08056, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. Abdou, J., 2000. "Exact stability and its applications to strong solvability," Mathematical Social Sciences, Elsevier, vol. 39(3), pages 263-275, May.
  5. Joseph Abdou, 2012. "The structure of unstable power mechanisms," Economic Theory, Springer, vol. 50(2), pages 389-415, June.
  6. Abdou, Joseph & Keiding, Hans, 2003. "On necessary and sufficient conditions for solvability of game forms," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 243-260, December.
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