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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2012 Volume 19, Issue 4, Pages 15–34 (Mi da694)

This article is cited in 2 papers

On existence of Walras equilibrium in a multi-regional economic model

V. A. Vasil'evab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: In the paper, a general Walras equilibrium existence theorem is established for a class of multi-regional economic systems. In contrast to the earlier announced rather technical existence result, we propose quite simple assumptions consisting of the absence of cornucopia and strong regional autarchy requirements. It is worth to note that strong autarchy requirement is a modification of the well-known positive initial endowment assumption. Alongside with the existence result obtained, strong attention is paid to the comparative analysis of the core, Walras, and Edgeworth equilibria of multi-regional models under consideration. Bibliogr. 14.

Keywords: multi-regional interaction model, Walras equilibrium, core, $k$-splitting, Edgeworth equilibrium.

UDC: 333.1+519.86

Received: 23.08.2011
Revised: 11.04.2012


 English version:
Journal of Applied and Industrial Mathematics, 2012, 6:4, 501–513

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