Please look at this game theory

Question 4 25 pts Suppose there is a boy and girl who are dating. They have to decide where to go on an upcoming date without knowing what the other chooses. For some strange reason they can not communicate with each other about where they are to meet for this date. The boy really likes this girl and always wants to spend time with her. The girl however, half the time is interested in spending time with the boy and the other half the time is uninterested in spending time with the boy. In addition, each has preferences on where they would like to go. These preferences are taken into account in the following game: Girl type Interested with Prob 0.5 Girl type Uninterested with Prob 0.5 Girl Girl Movie Game Movie Game Boy Movie 10, 5 0,0 Boy Movie 10, 0 0, 10 Game 0,0 5, 10 Game 0 , 5 5, 0 Find all Bayesian Nash Equilibria. HTML Editor FREE B IYA A . TBSSEE 1 2X VX V V D 1 12 pt Paragraph