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Cooperative Games in Strategic Form

  • Sergiu Hart


  • Andreu Mas-Colell


In this paper we view bargaining and cooperation as an interaction superimposed on a strategic form game. A multistage bargaining procedure for N players, the "proposer commitment" procedure, is presented. It is inspired by Nash's two-player variable-threat model; a key feature is the commitment to "threats." We establish links to classical cooperative game theory solutions, such as the Shapley value in the transferable utility case. However, we show that even in standard pure exchange economies the traditional coalitional function may not be adequate when utilities are not transferable.

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Paper provided by The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem in its series Discussion Paper Series with number dp484.

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Date of creation: May 2008
Date of revision:
Publication status: Published in Journal of the European Economic Association 8 (2010), 1, 7-33
Handle: RePEc:huj:dispap:dp484
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  1. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
  2. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Harsanyi Values of Large Economies: Nonequivalence to Competitive Equilibria," Games and Economic Behavior, Elsevier, vol. 13(1), pages 74-99, March.
  3. Herbert E. Scarf, 1970. "On the Existence of a Cooperative Solution for a General Class of N-Person Games," Cowles Foundation Discussion Papers 293, Cowles Foundation for Research in Economics, Yale University.
  4. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  5. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  6. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  7. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  8. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  9. Binmore, K. & Osborne, M.J. & Rubinstein, A., 1989. "Noncooperative Models Of Bargaining," Papers 89-26, Michigan - Center for Research on Economic & Social Theory.
  10. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  11. Postlewaite, Andrew, 1979. "Manipulation via Endowments," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 255-62, April.
  12. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
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