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Stability and Index of the Meet Game on a Lattice

  • Joseph Abdou

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS, EEP-PSE - Ecole d'Économie de Paris - 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.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00497447.

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Date of creation: Jun 2010
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Handle: RePEc:hal:cesptp:halshs-00497447
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00497447
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  1. Joseph Abdou, 2012. "The structure of unstable power mechanisms," Economic Theory, Springer, vol. 50(2), pages 389-415, June.
  2. repec:cup:cbooks:9780521074650 is not listed on IDEAS
  3. 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.
  4. Joseph Abdou, 2009. "A Stability Index for Local Effectivity Functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00392508, HAL.
  5. Moulin, Hervé & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Economics Papers from University Paris Dauphine 123456789/13220, Paris Dauphine University.
  6. Abdou, J., 2000. "Exact stability and its applications to strong solvability," Mathematical Social Sciences, Elsevier, vol. 39(3), pages 263-275, May.
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