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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 244–248
DOI: https://doi.org/10.1134/S0371968515040184 (Mi tm3662) 		 
On some properties of Nash equilibrium points in two-person games

M. S. Nikol'skii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968515040184
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 $\mathfrak A$ of Nash equilibrium points in two-person games. In particular, the character of possible complexity of the set $\mathfrak A$ is investigated, and the stability of the set $\mathfrak A$ under small perturbations of payoff functions is analyzed.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: February 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 232–236
DOI: https://doi.org/10.1134/S0081543815080180
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: M. S. Nikol'skii, “On some properties of Nash equilibrium points in two-person games”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 244–248; Proc. Steklov Inst. Math., 291 (2015), 232–236
Citation in format AMSBIB
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\paper On some properties of Nash equilibrium points in two-person games
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\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 244--248
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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