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.
|Translated title of the contribution||Universal Nash equilibria in -person differential games|
|Number of pages||15|
|Journal||Труды института математики и механики УрО РАН|
|Publication status||Published - 2014|
- 27.00.00 MATHEMATICS
Level of Research Output
- VAK List