Groupe d’études et de recherche en analyse des décisions

Equilibrium strategies in a three player pursuit-evasion differential game with partial observations

Puduru Viswanadha Reddy Indian Institute of Technology Madras, Inde

We study a multiplayer pursuit-evasion game called as P3 (prey-protector-predator) differential game with constraints on information available to one of the players. In particular, we consider the scenario where the protector has limited observations of other players, whereas the prey and predator have complete observations of themselves and the protector. We assume that the protector can operate in the rescue and intercept modes. We derive feedback Nash equilibrium strategies for this game using the structured control approach and the method of best performance indices. We illustrate the performance of the equilibrium strategies with numerical simulations for several interaction scenarios.

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