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Nash Equilibrium
Nash Equilibrium
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state theorem
Which of the following correctly states Nash's existence theorem for finite games?
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A.
Every two-player zero-sum game has a unique Nash equilibrium value, and this extends to show existence in all finite games with unique equilibria
B.
Every finite game has at least one Nash equilibrium in pure strategies, since each player can always find a deterministic best response
C.
Every game with compact action sets and continuous payoffs has a Nash equilibrium, with no restriction to finite games at all
D.
Every finite game has at least one Nash equilibrium in mixed strategies, proved via fixed point theory on the best-response correspondence
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