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Cooperative Game-Theoretic Models of the Cournot Oligopoly
International Game Theory Review. 2023. Vol. 25. No. 2. Article 2350004.
Korolev A. V., Ougolnitsky G. A.
In this paper, we build and investigate cooperative games with different characteristic
functions (von Neumann–Morgenstern, Petrosyan–Zaccour, Gromova–Petrosyan) on the
base of symmetrical Cournot oligopoly game-theoretic models in normal form. We find
Nash and Stackelberg equilibria and cooperative solutions for nonsymmetrical Cournot
oligopoly game-theoretic models in normal form. Also, we build and investigate coop27
erative three-player games with the same characteristic functions on the base of these
models, including the calculation of Shapley value. We compare payoffs received by the
players according to different optimality principles of cooperative games and games in
normal form.
Language:
English
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This book collects a selection of the articles presented at the virtual conference “Game Theory and Applications”, organized in St. Petersburg in the summer of 2022. The articles in this collection cover all the main applications of game theory, interpolating mathematical methods with economics, biology, sociology, mobile systems, and social networks. Scholars in the field ...
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