Question: 3. Consider the following game: Player 2 Left Middle Right Up 3.3 1,1 0,0 Player 1 Centre 1,1 6,5 4,7 Down 0,0 4,7 6,5 a.

3. Consider the following game: Player 2 Left Middle Right Up 3.3 1,1 0,0 Player 1 Centre 1,1 6,5 4,7 Down 0,0 4,7 6,5 a. Find all pure-strategy Nash equilibria (if any). b. Find the mixed-strategy Nash equilibrium in which Player 1 choose Centre with probability p and Down with probability 1-p (and Up with zero probability) and Player 2 choose Middle with probability q and Right with probability 1 -q (and Left with zero probability)

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