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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 2(27), Pages 152–157 (Mi vsgtu1077)

Bifurcations in a multicomponent Walras-type system under lack of information

A. S. Pivivarova

S. P. Korolyov Samara State Aerospace University (National Research University), Samara, Russia

Abstract: We consider a Walras-type equilibrium model with a supply function specified by A. A. Shananin. In order to investigate a stability of market equilibrium under lack of information we develop a distributed model where price becomes discrete space variable. A bifurcation analysis allows us to examine asymptotic behavior of solutions to the model. We show that in a certain range of parameter values the system becomes spatially unstable and exhibits a qualitatively different bifurcation type.

Keywords: Walras equilibrium model, distributed dynamical system, bifurcation analysis, stability of asymptotic solutions, stability of market equilibrium.

UDC: 517.938:519.865.1

MSC: Primary 91B55; Secondary 34C23

Original article submitted 07/III/2012
revision submitted – 07/VI/2012

DOI: 10.14498/vsgtu1077



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