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ЖУРНАЛЫ // Contributions to Game Theory and Management // Архив

Contributions to Game Theory and Management, 2022, том 15, страницы 81–95 (Mi cgtm416)

Two-stage minimum cost spanning tree game under fuzzy optimistic coalition

Zhao Guoa, Dan Wanga, Min Chena, Yin Liab

a St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, 7/9, Universitetskaya nab., St. Petersburg, 198504, Russia
b School of Mathematics, Harbin Institute of Technology, Harbin, 15000, China

Аннотация: This paper discusses the problem of cost allocation when players have different levels of optimism based on the two-stage minimum spanning tree game, and uses Choquet integral to calculate the characteristic function of fuzzy optimistic coalition and fuzzy pessimistic coalition. It is proved that the subgame of the two-stage clear optimistic coalition minimum cost spanning tree game is also a convex game. Finally, an example is used to prove that the two-stage fuzzy pessimistic coalition minimum cost spanning tree game has a dynamical instability solution.

Ключевые слова: optimistic game, fuzzy game, Choquet integral, spanning tree game.

Язык публикации: английский

DOI: 10.21638/11701/spbu31.2022.07



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