THE CORE AND CONSISTENCY PROPERTIES: A GENERAL CHARACTERISATION

Yukihiko Funaki () and Takehiko Yamato
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Takehiko Yamato: Department of Value and Decision Science, Graduation School of Decision Science and Technology, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan

International Game Theory Review (IGTR), 2001, vol. 03, issue 02n03, 175-187

Abstract: In this paper, we unify various axiomatisations of the core ofTUgames by means of consistency with respect to different definitions of reduced games. First, we introduce a general definition of reduced games including the reduced games due to Davis and Maschler (1965), Moulin (1985), and Funaki (1995) as special cases. Then, we provide a general theorem from which the characterisations due to Peleg (1986), Tadenuma (1992), and Funaki (1995) can be obtained. Our general theorem clarifies how the three characterisations of the core differ and are related.

JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (19)

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DOI: 10.1142/S0219198901000361

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