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On the Tikhonov well-posedness of concave games and Cournot oligopoly games. (English) Zbl 1011.91004
The authors study a very essential problem concerning $$n$$-person noncooperative games. They analyse, under what assumption the game is Tikhonov well-posed (T-wp), that is, when the game has a Nash equilibrium (NE) satisfying the two conditions: (1) NE is unique, and (2) NE is a limit of every sequence of $$\varepsilon$$-Nash equilibria as $$\varepsilon \rightarrow 0$$. Several sufficient conditions for games to have the T-wp property are given. Also one can find many interesting examples. The obtained results are applied to show that a Carnot oligopoly game has the T-wp property.

##### MSC:
 91A10 Noncooperative games 91A06 $$n$$-person games, $$n>2$$
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##### References:
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