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<p>The existence of Nash equilibrium in a game with two or more players is studied.The&#xa0;strategies of each player are elements of a noncompact metric space.Mixed constraints on strategies are considered, i.e., the set of admissible strategies of each participant may depend on the set of strategies of the other participants.Sufficient conditions for the existence of a solution to the generalized Nash equilibrium problem are obtained.Weak solutions to this problem are introduced and their properties are studied.</p>

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Existence and Properties of Solutions to the Generalized Nash Equilibrium Problem

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • A. V. Arutyunov,
  • E. S. Zhukovskiy,
  • S. E. Zhukovskiy

摘要

The existence of Nash equilibrium in a game with two or more players is studied.The strategies of each player are elements of a noncompact metric space.Mixed constraints on strategies are considered, i.e., the set of admissible strategies of each participant may depend on the set of strategies of the other participants.Sufficient conditions for the existence of a solution to the generalized Nash equilibrium problem are obtained.Weak solutions to this problem are introduced and their properties are studied.