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Forming societies and the Shapley NTU value

  • Juan Vidal-Puga

    (Universidade de Vigo)

We design a simple protocol of coalition formation. A society grows up by sequentially incorporating new members. The negotiations are always bilateral. We study this protocol in the context of non-transferable utility (NTU) games in characteristic function form. When the corresponding NTU game (N,V) satisfies that V(N) is flat, the only payoff which arises in equilibrium is the Shapley NTU value.

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File URL: http://econwpa.repec.org/eps/game/papers/0401/0401003.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0401003.

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Length: 40 pages
Date of creation: 23 Jan 2004
Date of revision:
Handle: RePEc:wpa:wuwpga:0401003
Note: Type of Document - Acrobat PDF; prepared on WinXP; to print on HP; pages: 40; figures: Included
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Inés Macho-Stadler & David Pérez-Castrillo & Nicolás Porteiro, 2003. "Sequential Formation of Coalitions through Bilateral Agreements," Working Papers 84, Barcelona Graduate School of Economics.
  2. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  4. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
  5. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
  6. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  7. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  8. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
  9. Maria Montero & Akira Okada, 2003. "Riskless versus Risky Bargaining Procedures: the Aumann-Roth Controversy Revisited," Game Theory and Information 0305002, EconWPA.
  10. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  11. Harsanyi, John C, 1980. "Comments on Roth's Paper, "Values for Games without Side Payments"," Econometrica, Econometric Society, vol. 48(2), pages 477, March.
  12. Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-65, March.
  13. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
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