Since the saddle point entries are zero, this is a fair game. Try it out. Mixed Strategy, Expected Value A mixed strategy is a method of playing a game where the rows or columns are played at random so that each is used a given fraction of the time. The expected value of the game is the average payoff per round if each player uses the associated mixed strategies for a large number of rounds. The process of finding optimal mixed strategies for both players is called solving the game.
Every game has optimal mixed strategies for both players.
If there is more than one optimal mixed strategy for one or both players, then that player may select any one mixed strategy. The expected value of the game does not depend on which optimal mixed strategy is used. The value of a game is its expected value if optimal mixed strategies are used. A fair game has value of zero, otherwise it is unfair or biased . Example Look at the game immediately above.