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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2010 Volume 17, Issue 1, Pages 75–96 (Mi da601)

This article is cited in 2 papers

Linear-fractional exchange model. Part 1: Existence and characterization of equilibrium

V. I. Shmyrevab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: In this paper we consider an exchange model with linear-fractional utility functions of consumers. Existence of equilibria are studied. We adduce existence conditions for the free disposal and strong equilibrium. For the fixed budget exchange model a reduction of the initial problem to the polyhedral complementarity one is obtained. Bibl. 18.

Keywords: linear-fractional function, exchange model, economic equilibrium, price vector, polyhedral complementarity.

UDC: 519.865.3

Received: 07.04.2009
Revised: 21.12.2009



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