Question 9
(Bayesian Game ) Consider a variant of the situation modelled by Battle of sexes (BOS) (as discussed in lectures) in which player 1 is unsure whether player 2 prefers to go out with her or prefers to avoid her, whereas player 2, as before, knows player 1’s preferences. Specifically, suppose player 1 thinks that with probability 1/2 player 2 wants to go out with her, and with probability 1/2 player 2 wants to avoid her. The situation is depicted in the following matrix of a static game with incomplete information:
With the help of this game matrix, we may come up with the following table depicting expected payoff of player 1 corresponding to different actions of both types of player 2.
Based on the above data, answer the given subquestions.
Find out the value of following unknown: c =__________