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JOURNALS // Contributions to Game Theory and Management // Archive

Contributions to Game Theory and Management, 2023 Volume 16, Pages 271–281 (Mi cgtm452)

Cooperative stock market game

Jianpeng Zhanga, Tian Lub

a St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia
b Yan'an University, Faculty of Mathematics and Computer Science, Yan'an, 716000, Shaanxi, China

Abstract: This study explores the game-theoretic model of the stock market, analyzing the behavior and strategic choices of market participants, and constructing a cooperative game model. The basic concepts of game theory are introduced, and the importance and practical application of game theory in the stock market are explained. A cooperative game-theoretic model is constructed, the characteristic function is established, and its superadditivity is proven. The model is analyzed, the Shapley value is derived. It is demonstrated that the Shapley value belongs to the core.

Keywords: cooperative game, core, Shapley value, stock market.

Language: English

DOI: 10.21638/11701/spbu31.2023.16



© Steklov Math. Inst. of RAS, 2024