Consider a game in which each player selects one of three colored poker chips: red, white, or blue. The players must select a chip without knowing the color of the chip selected by the other player. The players then reveal their chips. Payoffs to Player A in dollars are as follows:

a. What is the optimal strategy for each player?
b. What is the value of the game?
c. Would you prefer to be Player A or Player B?Why?

Player B White bn Blue b3 Red bi 0 Red ai White az Blue a3 4 -4 Player A