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Cores of combined games

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Author Info
Francis Bloch (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)
Geoffroy De Clippel (Department of Economics - Brown University)

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Abstract

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_v1.

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Date of creation: Jul 2008
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Handle: RePEc:hal:wpaper:hal-00356298_v1

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Related research
Keywords: Cooperative games; Core; Additivity; Issue Linkage; Multi Issue Bargaining;

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  1. Inderst, Roman, 2000. "Multi-issue Bargaining with Endogenous Agenda," Games and Economic Behavior, Elsevier, vol. 30(1), pages 64-82, January. [Downloadable!] (restricted)
  2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  3. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  4. Peters, Hans J M, 1986. "Simultaneity of Issues and Additivity in Bargaining," Econometrica, Econometric Society, vol. 54(1), pages 153-69, January. [Downloadable!] (restricted)
  5. Bac, Mehmet & Raff, Horst, 1996. "Issue-by-Issue Negotiations: The Role of Information and Time Preference," Games and Economic Behavior, Elsevier, vol. 13(1), pages 125-134, March. [Downloadable!] (restricted)
  6. Busch, Lutz-Alexander & Horstmann, Ignatius J, 1997. "Bargaining Frictions, Bargaining Procedures and Implied Costs in Multiple-Issue Bargaining," Economica, London School of Economics and Political Science, vol. 64(256), pages 669-80, November. [Downloadable!] (restricted)
  7. Peters, Hans, 1985. "A note on additive utility and bargaining," Economics Letters, Elsevier, vol. 17(3), pages 219-222. [Downloadable!] (restricted)
  8. In, Younghwan & Serrano, Roberto, 2004. "Agenda restrictions in multi-issue bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 385-399, March. [Downloadable!] (restricted)
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  9. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-26, March. [Downloadable!] (restricted)
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  12. Paola Conconi & Carlo Perroni, 2001. "Issue Linkage and Issue Tie-in in Multilateral Negotiations," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  13. Fershtman, Chaim, 1990. "The importance of the agenda in bargaining," Games and Economic Behavior, Elsevier, vol. 2(3), pages 224-238, September. [Downloadable!] (restricted)
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