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Forming societies and the Shapley NTU value

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  • Juan Vidal-Puga

    (Universidade de Vigo)

Abstract

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://128.118.178.162/eps/game/papers/0401/0401003.pdf
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Bibliographic Info

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
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Web page: http://128.118.178.162

Related research

Keywords: Shapley NTU value; sequential formation of coalitions; subgame perfect equilibrium;

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  1. Inés Macho-Stadler & David Pérez-Castrillo & Nicol? Porteiro, 2002. "Sequential Formation of Coalitions through Bilateral Agreements," UFAE and IAE Working Papers 515.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  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. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  4. Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-65, March.
  5. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  6. Maria Montero & Akira Okada, 2003. "Riskless versus Risky Bargaining Procedures: the Aumann-Roth Controversy Revisited," Game Theory and Information 0305002, EconWPA.
  7. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  8. 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.
  9. Harsanyi, John C, 1980. "Comments on Roth's Paper, "Values for Games without Side Payments"," Econometrica, Econometric Society, vol. 48(2), pages 477, March.
  10. 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.
  11. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
  12. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  13. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
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