Therefore, the mixed strategy equilibrium
for the boy is choosing Football with 60% (p = 0.6) and Opera with
40%
For the girl it is q = 40% (football) and 1-q = 60% (opera).
13. (Battle of the Sexes) A boy and a girl secretly like each other. However, they...
1. Assuming all players use pure strategies, describe the best response strategy for each player and determine the pure strategy Nash Equilibrium for each of the following games. a) Coordination Game: In such games the two players benefit from coordinating their actions. The "Prisoner's Dilemma" game we studied in class was an example of such coordination game. Here is another example known as "Battle of the Sexes." In this game a husband and wife trying to decide how they should...
1. Assuming all players use pure strategies, descrbe the best response strategy for each player and determine the pure strategy Nash Equilibrium for each of the following games. a) Coordination Game: In such games the two players benefit from coordinating their actions. The "Prisoner's Dlemma" game we studied in class was an example of such coordination game. Here is another example known as "Battle of the Sexes. In this game a husband and wife trying to decide how they should...