Epsilon cores of games and economies with limited side payments

Alexander Kovalenkov () and Myrna Wooders

Working Papers from University of Toronto, Department of Economics

Abstract: We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. Under the assumption that the payoff set of the grand coalition is convex, we show that a large game with limited side payments has a nonempty varepsilon core. Our second result is that, when some degree of side-paymentness within nearly-effective small groups is assumed, then all payoffs in the varepsilon $-core treat all players of the same approximate type approximately equally. A bound on the distance between varepsilon core payoffs of any two players of the same approximate type is given in terms of the parameters describing the game.

Keywords: cooperative games; games without side payments (NTU games); large games; approximate cores; effective small groups; parameterized collections of games (search for similar items in EconPapers)
JEL-codes: C10 C62 D71 (search for similar items in EconPapers)
Pages: 25 pages
Date: 1997-06-11
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Citations: View citations in EconPapers (5)

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Related works:
Working Paper: Epsilon cores of games and economies with limited side payments (2000)
Working Paper: Epsilon cores of games and economies with limited side payments (1999)
Working Paper: Epsilon cores of games and economies with limited side payments (1999)
Working Paper: Epsilon Cores of Games and Economies With Limited Side Payments (1997)
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Persistent link: https://EconPapers.repec.org/RePEc:tor:tecipa:mwooders-98-03

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