The extreme core allocations of the assignment game

Marina Núñez () and Carlos Rafels Pallarola
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Carlos Rafels Pallarola: Universitat de Barcelona

No 65, Working Papers in Economics from Universitat de Barcelona. Espai de Recerca en Economia

Abstract: Although assignment games are hardly ever convex, in this paper a characterization of their set or extreme points of the core is provided, which is also valid for the class of convex games. For each ordering in the player set, a payoff vector is defined where each player receives his marginal contribution to a certain reduced game played by his predecessors. We prove that the whole set of reduced marginal worth vectors, which for convex games coincide with the usual marginal worth vectors, is the set of extreme points of the core of the assignment game.

JEL-codes: C71 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2001
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