Abstract

Walras theory is well known and widely used in models of market economy. Various iterative methods are developed to search for the equilibrium conditions. In this paper a new approach is proposed and implemented where the search for Walras equilibrium is defined as a stochastic global optimization problem. This way random nature of customer arrivals is represented and the convergence to equilibrium is provided if equilibrium exists. This paper describes a part of a Web-based integrated system for scientific cooperation and distance graduate studies of theories of optimization, games and markets which aim is to provide researchers and graduate students with hands-on experience on effective use of software. The objectives are to provide a tool for scientific collaboration and to stimulate creative abilities of graduate students to work as independent researchers. The web-site http://soften.ktu.lt/˜mockus includes a family of economic and finnacial models regarding them all as examples of the the general optimization theory.

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