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Cores of combined games

  • Francis Bloch

    (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

  • Geoffroy De Clippel

    (Department of Economics - Brown University)

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games whose core is equal to the core of the combined game. On the other hand, for non balanced games, the binary relation associating two component games whose combination has an empty core is not transitive. However, we identify a class of non balanced games which, combined with any other non balanced game, has an empty core.

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Paper provided by HAL in its series Working Papers with number hal-00356298.

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Date of creation: Jul 2008
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Handle: RePEc:hal:wpaper:hal-00356298
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  1. Joseph Farrell and Carl Shapiro., 1988. "Horizontal Mergers: An Equilibrium Analysis," Economics Working Papers 8880, University of California at Berkeley.
  2. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-27, March.
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  9. In, Younghwan & Serrano, Roberto, 2004. "Agenda restrictions in multi-issue bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 385-399, March.
  10. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
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  12. Inderst, Roman, 1998. "Multi-Issue Bargaining with Endogenous Agenda," Sonderforschungsbereich 504 Publications 98-35, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
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