3. For each of the following statements, say whether it is true or false, and explain your answer. (a) "A roll-back equilibrium is not a Nash equilibrium." (b) "If a simultaneous-move game has pure strategy equilibria, the game cannot have mixed strategy equilibria too." (c) "Players who have a strictly dominant pure strategy will never choose to play a mixed strategy."

Principles of Economics, 7th Edition (MindTap Course List)
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ISBN:9781285165875
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Chapter17: Oligopoly
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3. For each of the following statements, say whether it is true or false, and
explain your answer.
(a) "A roll-back equilibrium is not a Nash equilibrium."
(b) "If a simultaneous-move game has pure strategy equilibria, the game
cannot have mixed strategy equilibria too.
(c) "Players who have a strictly dominant pure strategy will never choose
to play a mixed strategy."
Transcribed Image Text:3. For each of the following statements, say whether it is true or false, and explain your answer. (a) "A roll-back equilibrium is not a Nash equilibrium." (b) "If a simultaneous-move game has pure strategy equilibria, the game cannot have mixed strategy equilibria too. (c) "Players who have a strictly dominant pure strategy will never choose to play a mixed strategy."
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