Assume a husband and wife are deciding what to watch on TV on a Friday night and that their payoffs are in units of happiness. There are two choices that each can say they want to watch: a football game or ice skating competition. If the husband says he wants to watch football and the wife says she wants to watch ice skating, the husband gets -2 and the wife gets 0. If the husband says he wants to watch ice skating and the wife says she wants to watch football, the husband gets 0 and the wife gets 0. If they both say they want to watch football, the husband gets 6 and the wife gets 4. If they both say they want to watch ice skating, the husband gets 3 and the wife gets 5.
Consider the mixed strategy equilibrium.
With what probability would would the wife play ice skating?