Geodesic
Universal Nash equilibria in $n$-person differential games
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 26-40

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We consider differential games of a finite number of players in the class of strategies with a guide proposed by Krasovskii and Subbotin. A family of strategies that guarantee the Nash equilibrium for any initial position from a given compact set is constructed. The construction is based on a multivalued function satisfying some stability conditions. The existence of this value function is established.
Keywords: differential games, Nash equilibrium, strategies with a guide. 
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     author = {Yu. V. Averboukh},
     title = {Universal {Nash} equilibria in $n$-person differential games},
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Yu. V. Averboukh. Universal Nash equilibria in $n$-person differential games. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 26-40. http://geodesic.mathdoc.fr/item/TIMM_2014_20_3_a1/