Game-theoretic models of an oligopoly market with nonlinear agent cost functions


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Abstract

We construct oligopoly models for nonlinear cost functions of agents under reflexive information. We obtain conditions for Nash equilibria under symmetric and asymmetric agent information in Cournot and Stackelberg reaction models (in case of one or several leaders).

About the authors

M. I. Geras’kin

Korolev Samara National Research University

Author for correspondence.
Email: innovation@ssau.ru
Russian Federation, Samara

A. G. Chkhartishvili

Trapeznikov Institute of Control Sciences

Email: innovation@ssau.ru
Russian Federation, Moscow

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