M. I. Geras'kin, A. G. Chkhartishvili, “Analysis of game-theoretic models of an oligopoly market under constrains on the capacity and competitiveness of agents”, Avtomat. i Telemekh., 2017, Issue 11,Pages <nobr>105

This article is cited in 11 papers

Control in Social Economic Systems

Analysis of game-theoretic models of an oligopoly market under constrains on the capacity and competitiveness of agents

M. I. Geras'kin^a, A. G. Chkhartishvili^b

^a Korolev Samara National Research University, Samara, Russia
^b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: We develop an oligopoly model for nonlinear cost functions of the agents under constraints on the competitiveness and capacity of the agents and formulate Nash equilibrium conditions for this model. We develop a game-theoretic model for choosing the strategies for competitive and unbounded in capacity agents and define a Pareto optimal solution for this model under complete information.

Keywords: oligopoly, nonlinear cost function, Nash equilibrium, constraints on competitiveness and capacity.

Presented by the member of Editorial Board: D. A. Novikov

Received: 28.12.2015