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A Linear Quadratic Deterministic Continuous Time Game with many symmetricplayers is considered and the Linear Feedback Nash strategies are studied asthe number of players goes to infinity. We show that under some conditions thelimit of the solutions exists and can be used to approximate the case with afinite but large number of players. It is shown that in the limit each playeracts as if he were faced with one player only, who represents the averagebehavior of the others.

Limiting Behavior of LQ Deterministic Infinite Horizon Nash Games with Symmetric Players as the Number of Players goes to Infinity