Consider the following game. Suppose that players play simultaneously over many periods. In each period, each player best responds to the action played by the opponent the period before.
L M R
U 0,0 4,5 5,4
M 5,4 0,0 4,5
D 4,5 5,4 0,0
Assume that in period 1, players start with the strategy profile (M, L). Describe playing in the next 7 periods. Does a pattern emerge?
Yes
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