Forming societies and the Shapley NTU value
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.
|Date of creation:||23 Jan 2004|
|Date of revision:|
|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|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-65, March.
- Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
- 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).
- Inés Macho-Stadler & David Pérez-Castrillo & Nicolás Porteiro, 2003. "Sequential Formation of Coalitions through Bilateral Agreements," Working Papers 84, Barcelona Graduate School of Economics.
- Sergiu Hart & Andreu Mas-Colell, 1994.
"Bargaining and value,"
Economics Working Papers
114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Harsanyi, John C, 1980. "Comments on Roth's Paper, "Values for Games without Side Payments"," Econometrica, Econometric Society, vol. 48(2), pages 477, March.
- Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
- Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
- 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.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
- Maria Montero & Akira Okada, 2003. "Riskless versus Risky Bargaining Procedures: the Aumann-Roth Controversy Revisited," Game Theory and Information 0305002, EconWPA.
- Kalyan Chatterjee & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 463-477.
- Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpga:0401003. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (EconWPA)
If references are entirely missing, you can add them using this form.