A "properly mixed strategy" means a mixed strategy that does not assign all the probability to one pure strategy. In other words, it is not a pure strategy. Consider a simultaneous move game with the following payoff matrix:

		Player 2
		L	R
Player 1	A	4, 0	0, 3
	B	0, 3	2.5, 0
	C	1, 1	1, 1

a) Is pure strategy C strictly dominated by any other pure strategy of player 1? If so, write one out. If not, explain.

b) Is pure strategy C strictly dominated by any proper mixed strategy for player 1? If so, write one out.  If not, explain.

c) Is pure strategy C a best response to some mixed strategy of player 2? If so, write one out. If not, explain.

Posted Date: 3/18/2013 3:36:42 AM | Location : United States

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