Treffer: Exchange market equilibria with Leontief's utility: Freedom of pricing leads to rationality
Title:
Exchange market equilibria with Leontief's utility: Freedom of pricing leads to rationality
Authors:
Source:
Internet and Network EconomicsTheoretical computer science. 378(2):134-142
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 28 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions spéciales, Special functions, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Divers, Miscellaneous, Algorithmique, Algorithmics, Algorítmica, Calcul automatique, Computing, Cálculo automático, Complexité algorithme, Algorithm complexity, Complejidad algoritmo, Complexité linéaire, Linear complexity, Complejidad lineal, Equilibre, Equilibrium, Equilibrio, Fixation prix, Pricing, Fijación precios, Fonction concave, Concave function, Función cóncava, Fonction spéciale, Special function, Función especial, Informatique théorique, Computer theory, Informática teórica, Principe de complémentarité, Complementarity, Problème complémentarité, Complementarity problem, Problema complementariedad, Programmation linéaire, Linear programming, Programación lineal, Rationalité, Rationality, Racionalidad, Résolution (math), Solving, Resolución (matemática), 33XX
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Management Science and Engineering, School of Engineering, Stanford University, Stanford, CA 94305, United States
ISSN:
0304-3975
Rights:
Copyright 2008 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18799217
Database:
PASCAL Archive
Weitere Informationen
This paper studies the equilibrium property and algorithmic complexity of the exchange market equilibrium problem with concave piecewise linear functions, which include linear and Leontief's utility functions as special cases. We show that the Fisher model again reduces to the weighted analytic center problem, and the same linear programming complexity bound applies to computing its equilibrium. However, the story for the Arrow-Debreu model with Leontief's utility becomes quite different. We show that, for the first time, solving this class of Leontief exchange economies is equivalent to solving a linear complementarity problem whose algorithmic complexity is finite but not polynomially bounded.