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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Original Russian Text © M.S. Nikol’skii, 2015, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 291, pp. 244–248.
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Nikol’skii, M.S. On some properties of Nash equilibrium points in two-person games. Proc. Steklov Inst. Math. 291, 232–236 (2015). https://doi.org/10.1134/S0081543815080180
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DOI: https://doi.org/10.1134/S0081543815080180