Volume 17, No 1, 2010, P. 75-96

UDC 519.865.3
V. I. Shmyrev
Linear-fractional exchange model. Part 1: Existence and characterization of equilibrium

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.

Shmyrev Vadim Ivanovich ^1,2
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: shmyrev@math.nsc.ru