Geodesic
Infinitesimal characterization of Nash equilibrium for differential games with many players
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 3-11

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We study Nash equilibrium for a differential game with many players. The condition on a multivalued map under which any value of this map is a set of Nash equilibrium payoffs is obtained. This condition is written in infinitesimal form. The sufficient condition for the given complex of continuous functions to provide a Nash equilibrium is obtained. This condition is a generalization of the method based on system of Hamilton–Jacobi equations.
Keywords: Nash equilibrium, differential games, generalized derivatives. 
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     author = {Yu. V. Averboukh},
     title = {Infinitesimal characterization of {Nash} equilibrium for differential games with many players},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {3--11},
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     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_2_a0/}
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Yu. V. Averboukh. Infinitesimal characterization of Nash equilibrium for differential games with many players. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 3-11. http://geodesic.mathdoc.fr/item/VUU_2011_2_a0/