1. A team working on a project consists of n individuals. Each individual must choose effort e E {0, 1}, where choosing 0 is costless and 1 costs c > 0. The project succeeds only all n members exert effort. The payoff to an individual the benefit of the project minus his private cost. The project yields a benefit of v > c to each individual if it succeeds, and zero if it fails. a) Formulate this as a strategic game and solve for all symmetric Nash equilibria, pure and mixed. b) What happens to the probability of success of the project in the mixed strategy equilibrium as c increases. b) Show that this game does not have any asymmetric equilibria, either pure or mixed