Consider a coordination game where each of two agents picks a number between 1 and 1000. The players get a prize of $1000 each if their numbers are the same, and $0 otherwise. In this game, there exists (A) a thousand of pure-strategy Nash equilibria; (B) an iterated dominant-strategy equilibrium; (C) a dominant strategy equilibrium; (D) none of the above.

Exploring Economics
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ISBN:9781544336329
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Chapter15: Oligopoly And Strategic Behavior
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Consider a coordination game where each of two agents picks a number between 1 and 1000. The players get a prize of $1000 each if their numbers are the same, and $0 otherwise. In this game, there exists
(A) a thousand of pure-strategy Nash equilibria;
(B) an iterated dominant-strategy equilibrium;
(C) a dominant strategy equilibrium;
(D) none of the above.

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