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Calculus of Variations - uni-leipzig.de

a Nash equilibrium if f1(x,y∗) ≤ f1(x∗,y∗) for all x ∈ S1 f2(x∗,y) ≤ f2(x∗,y∗) for all y ∈ S2. The functions f1, f2 are called payoff functions of two players and the sets S1 and S2 are the strategy sets of the players. Under additional assumptions on fi and Si there exists a Nash equilibrium, see Nash [46]. In Section 2.4.5

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  Sanh, Equilibrium, Nash equilibrium

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