Geodesic
Infinitesimal characterization of feedback Nash equilibrium
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 3-14

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The two-person nonzero-sum differential game is considered. The infinitesimal-like condition on set-valued map to be a set of values of differential game is proposed. This condition is formulated in the terms of derivative of set-valued map along the set of directions.
Keywords: differential game, feedback Nash equilibrium. 
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Yu. V. Averboukh. Infinitesimal characterization of feedback Nash equilibrium. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a0/