Sequential decisions in allocation problems
In the context of cooperative TU-games, and given an order of players, we consider the problem of distributing the worth of the grand coalition as a sequential decision problem. In each step of the process, upper and lower bounds for the payoff of the players are required related to successive reduced games. Sequentially compatible payoffs are defined as those allocation vectors that meet these recursive bounds. The core of the game is reinterpreted as a set of sequentially compatible payoffs when the Davis-Maschler reduced game is considered (Th.1). Independently of the reduction, the core turns out to be the intersection of the family of the sets of sequentially compatible payoffs corresponding to the different possible orderings (Th.2), so it is in some sense order-independent. Finally, we analyze advantageous properties for the first player.
|Date of creation:||2004|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.ere.ub.es
More information through EDIRC
References listed on IDEAS
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.:
- P.J.J. Herings & H. Peeters, 2001.
"The Strong Sequential Core for Two-period Economies,"
- Predtetchinski, Arkadi & Herings, P. Jean-Jacques & Peters, Hans, 2002. "The strong sequential core for two-period economies," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 465-482, December.
- Predtetchinski,Arkadi & Herings,Jean-Jacques, 2001. "The Strong Sequential Core for Two-period Economies," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
- Becker, Robert A & Chakrabarti, Subir K, 1995. "The Recursive Core," Econometrica, Econometric Society, vol. 63(2), pages 401-23, March.
- Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
- Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
- Gale, Douglas, 1978. "The core of a monetary economy without trust," Journal of Economic Theory, Elsevier, vol. 19(2), pages 456-491, December.
- Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
- Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
- Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
- Rafels, C. & Tijs, S.H., 1997. "On the cores of cooperative games and the stability of the Weber set," Other publications TiSEM 14435da8-14ce-4845-8e54-4, Tilburg University, School of Economics and Management.
When requesting a correction, please mention this item's handle: RePEc:bar:bedcje:2004116. 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: (Espai de Recerca en Economia)
If references are entirely missing, you can add them using this form.