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From a game theory in economics class: True or false. Explain your reasoning (a) If a game is dominance-solvable, it must have a dominant-strategy equilibrium.

From a game theory in economics class:

True or false. Explain your reasoning

(a) If a game is dominance-solvable, it must have a dominant-strategy equilibrium.

(b) Dominant-strategy Nash equilibrium does not require players to have common knowledge of rationality.

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