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Cores of combined games

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Author Info

  • Bloch, Francis
  • de Clippel, Geoffroy

Abstract

This paper studies the core of combined games, obtained by summing different coalitional games when bargaining over multiple independent issues. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games to determine whether the core of the combined game coincides with the sum of the cores of its components.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 145 (2010)
Issue (Month): 6 (November)
Pages: 2424-2434

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Handle: RePEc:eee:jetheo:v:145:y:2010:i:6:p:2424-2434

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Cooperative games Core Additivity Issue linkage Multi-issue bargaining;

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References

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  1. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  2. Laussel, Didier & Le Breton, Michel, 2001. "Conflict and Cooperation: The Structure of Equilibrium Payoffs in Common Agency," Journal of Economic Theory, Elsevier, vol. 100(1), pages 93-128, September.
  3. Conconi, P. & Perroni, C., 2000. "Issue Linkage and Issue Tie-in in Multilateral Negotiations," The Warwick Economics Research Paper Series (TWERPS) 558, University of Warwick, Department of Economics.
  4. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  5. Fershtman, Chaim, 1990. "The importance of the agenda in bargaining," Games and Economic Behavior, Elsevier, vol. 2(3), pages 224-238, September.
  6. Inderst, Roman, 2000. "Multi-issue Bargaining with Endogenous Agenda," Games and Economic Behavior, Elsevier, vol. 30(1), pages 64-82, January.
  7. Farrell, Joseph & Shapiro, Carl, 1988. "Horizontal Mergers: An Equilibrium Analysis," Department of Economics, Working Paper Series qt0tp305nx, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  8. 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.
  9. Peters, Hans J M, 1986. "Simultaneity of Issues and Additivity in Bargaining," Econometrica, Econometric Society, vol. 54(1), pages 153-69, January.
  10. Younghwan In & Roberto Serrano, 2000. "Agenda Restrictions in Multi-Issue Bargaining," Working Papers 2000-08, Brown University, Department of Economics.
  11. Peters, Hans, 1985. "A note on additive utility and bargaining," Economics Letters, Elsevier, vol. 17(3), pages 219-222.
  12. 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.
  13. 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.
  14. 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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Cited by:
  1. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2011. "Sharing the surplus in games with externalities within and across issues," UFAE and IAE Working Papers 880.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

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