Web of Science: 11 citations, Scopus: 12 citations, Google Scholar: citations
Payoff-dependent balancedness and cores (revised version)
Bonnisseau, Jean-Marc
Iehlé, Vincent
Universitat Autònoma de Barcelona. Unitat de Fonaments de l'Anàlisi Econòmica
Institut d'Anàlisi Econòmica

Date: 2007
Description: 34 p.
Abstract: We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows the selection of specific core payoff vectors. Lastly, the class of parametrized cooperative games is introduced. This new setting and its associated equilibrium-core solution extend the usual cooperative game framework and core solution to situations depending on an exogenous environment. A non-emptiness result for the equilibrium-core is also provided in the context of a parametrized cooperative game. Our proofs borrow mathematical tools and geometric constructions from general equilibrium theory with non convexities. Applications to extant results taken from game theory and economic theory are given.
Rights: 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
Language: Anglès
Series: Departament d'Economia i d'Història Econòmica. Unitat de Fonaments de l'Anàlisi Econòmica / Institut d'Anàlisi Econòmica (CSIC). Working papers
Series: Working papers ; 678.07
Document: Working paper
Subject: Equilibri (Economia)

DOI: 10.1016/j.geb.2007.01.002


34 p, 305.9 KB

The record appears in these collections:
Research literature > Working papers > Fundamentals Unit of the Economic Analysis. Working papers

 Record created 2009-07-15, last modified 2022-07-16



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