Differential games of generalized pursuit and evasion
Differential games of generalized pursuit and evasion
A pursuit-evasion game with integral payoff is considered. A family of fixed time games with the same dynamics and integral payoff is introduced and it is shown that their upper and lower values approach the corresponding values of the initial game. Under the Isaacs condition the existence of value is proved and its continuity. If the data satisfy some Lipschitz condition then the value is also Lipschitzian.
- Purdue University System United States
- Purdue University West Lafayette United States
pursuit-evasion game, integral payoff, fixed time games, Differential games (aspects of game theory), Positional games (pursuit and evasion, etc.), Game theory, Isaacs condition the existence
pursuit-evasion game, integral payoff, fixed time games, Differential games (aspects of game theory), Positional games (pursuit and evasion, etc.), Game theory, Isaacs condition the existence
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