Geodesic
On some properties of Nash equilibrium points in two-person games
Informatics and Automation, Optimal control, Tome 291 (2015), pp. 244-248

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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. 
@article{TRSPY_2015_291_a17,
     author = {M. S. Nikol'skii},
     title = {On some properties of {Nash} equilibrium points in two-person games},
     journal = {Informatics and Automation},
     pages = {244--248},
     publisher = {mathdoc},
     volume = {291},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_291_a17/}
}
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M. S. Nikol'skii. On some properties of Nash equilibrium points in two-person games. Informatics and Automation, Optimal control, Tome 291 (2015), pp. 244-248. http://geodesic.mathdoc.fr/item/TRSPY_2015_291_a17/