Question
Determine whether each of the following statements is true or false a) Consider a 2 player strategic game, in which player 1 has two actions,
Determine whether each of the following statements is true or false
a) Consider a 2 player strategic game, in which player 1 has two actions, a and b, while player 2 has two actions C and D. If a is a best response to (the pure strategy) C AND b is also a best response to C, then any mixed strategy of player 1 must be a best response to C.
b) Consider the same game in 1). If a is a best response to C AND a is also a best response to D, then a must be a best response to any mixed strategy of player 2.
c) Consider the same game in 1). If a is a best response to C AND a is also a best response to D, then a must strictly dominate b for player 1.
d) Consider the same game in 1). If a is a best response to C AND a is also a best response to D, then there are NO Nash equilibria where player 1 plays both a and b with positive probability.
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