A Demand Adjustment Process
The aspiration approach to cooperative games, which has been studied by a number of authors, including Cross, Turbay, Albers, Selten and Bennett, presumes that players in a game bargain over their reservation prices, or aspirations. A number of aspiration-based solution concepts have been put forth, and aspiration solutions have been connected to non-cooperative bargaining models. Missing in this approach has been theory of how aspirations themselves arise. The present paper is an attempt to fill this gap. It describes a very general demand adjustment process, using the framework of set-valued dynamical systems developed by Maschler and Peleg. This demand adjustment process always converges; sufficient conditions are given in order that it converge to an aspiration, and that it converge in a finite number of steps.
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Volume (Year): 26 (1998)
Issue (Month): 4 ()
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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.:
- Moulin, H, 1990. "Cores and Large Cores When Population Varies," International Journal of Game Theory, Springer, vol. 19(2), pages 219-32.
- Bennett, Elaine & Wooders, Myrna, 1979. "Income distribution and firm formation," Journal of Comparative Economics, Elsevier, vol. 3(3), pages 304-317, September.
- Benny Moldovanu & Eyal Winter, 1990. "Consistent demands for coalition formation in NTU games," Discussion Paper Serie B 147, University of Bonn, Germany.
- Sharkey, W.W., 1993. "A Characterization of Some Aspiration Solutions with an Application to Spatial Games," Papers 95, Bell Communications - Economic Research Group.
- Moldovanu, Benny & Eyal Winter, 1993.
"Core Implementation and Increasing Returns to Scale for Cooperation,"
Discussion Paper Serie B
289, University of Bonn, Germany.
- Moldovanu, Benny & Winter, Eyal, 1994. "Core implementation and increasing returns to scale for cooperation," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 533-548, November.
- Elaine Bennett, 1986. "Multilateral Bargaining Problems," UCLA Economics Working Papers 594, UCLA Department of Economics.
- Suzanne Scotchmer and Greg Engl., 1992.
"The Core and the Hedonic Core: Equivalence and Comparative Statics,"
Economics Working Papers
92-197, University of California at Berkeley.
- Engl, Greg & Scotchmer, Suzanne, 1996. "The core and the hedonic core: Equivalence and comparative statics," Journal of Mathematical Economics, Elsevier, vol. 26(2), pages 209-248.
- Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
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