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2015•Proceedings of the Steklov Institute of MathematicsRequires access

On some properties of Nash equilibrium points in two-person games

М. С. Никольский

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Abstract

In modern game theory, a lot of attention is paid to the concept of Nash equilibrium. The paper is devoted to the study of some properties of the set A of Nash equilibrium points in two-person games. In particular, the character of possible complexity of the set A is investigated, and the stability of the set A under small perturbations of payoff functions is analyzed.

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What this paper is about

In modern game theory, a lot of attention is paid to the concept of Nash equilibrium. The paper is devoted to the study of some properties of the set A of Nash equilibrium points in two-person games. In particular, the character of possible complexity of the set A is investigated, and the stability of the set A under small perturbations of payoff functions is analyzed.

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Available abstract

In modern game theory, a lot of attention is paid to the concept of Nash equilibrium. The paper is devoted to the study of some properties of the set A of Nash equilibrium points in two-person games. In particular, the character of possible complexity of the set A is investigated, and the stability of the set A under small perturbations of payoff functions is analyzed.

Key concepts: Nash equilibrium, Mathematical economics, Risk dominance, Best response, Epsilon-equilibrium, Trembling hand perfect equilibrium, Equilibrium selection, Correlated equilibrium

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