Suppose, in addition to the hypotheses of example 2 96, that The players ' payoff functions ui S are strictly quasi concave The best response mapping B S S is a contraction Then there exists a unique Nash equilibrium of the game ...

Strict quasi concavity ensures that the best response correspondence is in fact a fu ...

Suppose, in addition to the hypotheses of example 2.96, that The players' payoff functions ui: S

Question:

Suppose, in addition to the hypotheses of example 2.96, that
• The players' payoff functions ui: S → ℜ are strictly quasi concave
• The best response mapping B: S → S is a contraction
Then there exists a unique Nash equilibrium of the game.