Sufficient conditions for Stackelberg and Nash strategies with memory |
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Authors: | G P Papavassilopoulos J B Cruz Jr |
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Institution: | (1) Decision and Control Laboratory, Coordinated Science Laboratory, University of Illinois, Urbana, Illinois |
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Abstract: | Sufficiency conditions for Stackelberg strategies for a class of deterministic differential games are derived when the players have recall of the previous trajectory. Sufficient conditions for Nash strategies when the players have recall of the trajectory are also derived. The state equation is linear, and the cost functional is quadratic. The admissible strategies are restricted to be affine in the information available.This work was supported in part by the Joint Services Electronics Program under Contract No. N00014-79-C-0424, in part by the National Science Foundation under Grant No. ECS-79-19396, and in part by Department of Energy under Contract No. EX-76-C-01-2088. |
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Keywords: | Stackelberg differential games Nash differential games strategies with memory sufficiency conditions for game strategies |
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