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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
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
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Makarov I. A., Россия в глобальной политике 2026 Т. 24 № 4 (140) С. 164–182
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Fedorova E., Ledyaeva S., Stepanov V., International Review of Economics and Finance 2026
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Employing a machine learning approach, the authors developed a robust fake news dataset from
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Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73
В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...
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In schemes S for placing r particles in n distinguishable cells, their placement in selected m cells – schemes S∗ is studied, for which the analysis is carried out by a new enumerative method (EM) in extended areas of enumerative combinatorics: finding the number of outcomes and, based on the construction of a model of ...
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The class of particle cell arrangements under consideration is characterized by the introduction of an upper limit on the filling levels of the cells, which must be achieved in at least one cell of each outcome of each arrangement. The circuits are distinguished by the paired qualities of their constituent elements (cells and particles) according ...
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Shvedov A. S., , in: 2025 18th International Conference on Management of Large-Scale System Development (MLSD).: IEEE, 2025. Ch. 103 P. 1–4.
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Cham: Birkhäuser, 2024.
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 ...
Added: May 21, 2025
Gurvich V., Naumova M., / Series "Working papers by Cornell University". 2024.
In several recent papers some concepts of convex analysis were extended to discrete sets. This paper is one more step in this direction. It is well known that a local minimum of a convex function is always its global minimum. We study some discrete objects that share this property and provide several examples of convex ...
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Gurvich V., Naumova M., Annals of Operations Research 2023 No. 336 P. 1905–1927
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Филатов А. Ю., / Series 02:43:16 "CEST". 2023.
The paper proposes a game theory model of price oligopoly with a heterogeneous product, where total demand depends linearly on the minimum market price. This model develops the Bertrand oligopoly for the case of imperfect price elasticity of demand. The most interesting result is an asymmetric Nash equilibrium with different prices and sales in the ...
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Boros E., Franciosa P. G., Gurvich V. et al., International Journal of Game Theory 2024 Vol. 53 P. 449–473
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Gurvich V., Naumova M., Discrete Applied Mathematics 2023 Vol. 340 P. 53–68
In 1975 the first author proved that every finite tight two-person game form g is Nashsolvable,
that is, for every payoffs u and w of two players the obtained normal form game
(g; u,w) has a Nash equilibrium (NE) in pure strategies. Several proofs of this theorem
were obtained later. Here we strengthen the result and give a ...
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Samoylenko I., Кулешов И. В., Райгородский А. М., Компьютерные исследования и моделирование 2023 Т. 15 № 2 С. 355–368
At the middle of the 2000-th, scientists studying the functioning of insect communities identified four basic patterns of the organizational structure of such communities. (i) Cooperation is more developed in groups with strong kinship. (ii) Cooperation in species with large colony sizes is often more developed than in species with small colony sizes. And small-sized ...
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Ougolnitsky G., Alexey Korolev, Stats 2023 Vol. 6 No. 2 P. 576–595
Coopetition means that in economic interactions, both competition and cooperation are
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in normal form reflects competition between firms in Cournot oligopoly and their cooperation in
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Gurvich V., Naumova M., Annals of Mathematics and Artificial Intelligence 2022
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Cham: Birkhäuser, 2021.
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Korolev A. V., Математическая теория игр и ее приложения 2021 № 1 С. 102–129
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Added: May 15, 2021