Per citar aquest document: http://ddd.uab.cat/record/60882
The Multiple-partners assignment game with heterogeneous sales and multi-unit demands : competitive equilibria
Jaume, Daniel
Massó, Jordi
Neme, Alejandro
Universitat Autònoma de Barcelona. Unitat de Fonaments de l'Anàlisi Econòmica
Universitat Autònoma de Barcelona. Institut d'Anàlisi Econòmica

Data: 2010
Descripció: 40 p.
Col·lecció: Working papers ; 808.10
Resum: A multiple-partners assignment game with heterogeneous sales and multiunit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of units. We define a competitive equilibrium for this generalized assignment game and prove its existence by using only linear programming. In particular, we show how to compute equilibrium price vectors from the solutions of the dual linear program associated to the primal linear program defined to find optimal assignments. Using only linear programming tools, we also show (i) that the set of competitive equilibria (pairs of price vectors and assignments) has a Cartesian product structure: each equilibrium price vector is part of a competitive equilibrium with all optimal assignments, and vice versa; (ii) that the set of (restricted) equilibrium price vectors has a natural lattice structure; and (iii) how this structure is translated into the set of agents' utilities that are attainable at equilibrium.
Drets: Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat, la unitat i l'institut i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús Creative Commons
Llengua: Anglès.
Document: workingPaper
Matèria: Jocs, Teoria de

Adreça alternativa: http://hdl.handle.net/2072/53374


40 p, 289.7 KB

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 Registre creat el 2010-09-07, darrera modificació el 2016-06-11



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