M Mixed strategy A mixed strategy of a player is a probability distribution over player's(pure) strategies A mixed strategy for Chris is a probability distribution(p, 1-p) where p is the probability of playing Opera, and 1-p is that probability of playing Prize Fight If p=1 then Chris actually plays Opera. If p=0 then Chris actually plays Prize Fight Battle of sexes Pat Opera Prize Fight Opera(p) 2,1 0 0 Chris Prize Fight(1-p) 0 0 1 2Mixed strategy Battle of sexes Pat Opera Prize Fight Chris Opera (p) 2 , 1 0 , 0 Prize Fight (1-p) 0 , 0 1 , 2 4 ◼ A mixed strategy of a player is a probability distribution over player’s (pure) strategies. ➢ A mixed strategy for Chris is a probability distribution (p, 1-p), where p is the probability of playing Opera, and 1-p is that probability of playing Prize Fight. ➢ If p=1 then Chris actually plays Opera. If p=0 then Chris actually plays Prize Fight