A Generalized Assignment Game

Ester Cami? ()

UFAE and IAE Working Papers from Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC)

Abstract: The proposed game is a natural extension of the Shapley and Shubik Assignment Game to the case where each seller owns a set of different objets instead of only one indivisible object. We propose definitions of pairwise stability and group stability that are adapted to our framework. Existence of both pairwise and group stable outcomes is proved. We study the structure of the group stable set and we finally prove that the set of group stable payoffs forms a complete lattice with one optimal group stable payoff for each side of the market.

Keywords: matching; assignment; stability; lattice structure (search for similar items in EconPapers)
JEL-codes: C71 C78 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
Date: 2002-06-14
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Persistent link: http://EconPapers.repec.org/RePEc:aub:autbar:514.02

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