Abstract
We provide a new axiomatization of the core of games in characteristic form. The games may have either finite sets of players or continuum sets of players and finite coalitions. Our research is based on Peleg's axiomatization for finite games and on the notions of measurement-consistent partitions and the f-core introduced by Kaneko and Wooders. Since coalitions are finite in both finite games and in continuum games, we can use the reduced game property and the converse reduced game property for our axiomatization. Both properties are particularly appealing in large economies.
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References
Aumann RJ (1964) Markets with a continuum of traders. Econometrica 32: 1483–1487
Aumann RJ, Dreze J (1974) Cooperative games with coalition structures. Int J Game Theory 3: 217–238
Dubey P, Neyman A (1984) Payoffs in nonatomic economies: an axiomatic approach. Econometrica 52: 1129–1150
Hammond P, Kaneko, M, Wooders MH (1989) Continuum economies with finite coalitions: core, equilibria, and widespread externalities. J Econ Theory 49: 113–134
Kaneko M, Wooders MH (1990) Nonemptiness of the f-core of a game without side payments (manuscript)
Kaneko M, Wooders MH (1989) The core of a continuum economy with widespread externalities and finite coalitions: from finite to continuum economics. J Econ Theory 49: 135–168
Kaneko M, Wooders MH (1986a) The core of a game with a continuum of players and finite coalitions: the model and some results. Math Soc Sci 12: 105–137
Kaneko M, Wooders MH (1986b) The core of a game with a continuum of players and finite coalitions: from finite to continuum games, (unpublished)
Kaneko M, Wooders MH (1982) Cores of partitioning games. Math Soc Sci 3: 313–327
Keiding H (1986) An axiomatization of the core of a cooperative game. Econ Lett 20: 111–115
Peleg B (1986) On the reduced game property and its converse. Int J Game Theory 15: 187–200
Peleg B (1985) An axiomatization of the core of cooperative games without sidepayments. J Math Econ 14: 203–214
Winter E (1989) An axiomatization of the stable and semistable demand vectors by the reduced game property, Discuss Paper No. A-254, The University of Bonn
Wooders MH (1983) The epsilon core of a large replica game. J Math Econ 11: 277–300
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This paper is a revision of University of Bonn Sonderforschungsbereich 303 Discussion Paper No. B-149, with the same title.
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Winter, E., Wooders, M.H. An axiomatization of the core for finite and continuum games. Soc Choice Welfare 11, 165–175 (1994). https://doi.org/10.1007/BF00179212
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DOI: https://doi.org/10.1007/BF00179212