Two players simultaneously decide whether to contribute (C) or not (N) towards producing a public good. The good is produced if at least one of them contributes. The benefits derived from the public good is 1 and the cost to player i of contributing is c. The payoffs are depicted in the following table. C C1-C, 1-C N 1,1- N 1-C, 1 0,0 The benefits are common knowledge, but each player's cost is private information. Player i j believes that c; is drawn from a uniform distribution on [0, 2], indepen- dent of c;. All of this is common knowledge. Formulate this situation as a Bayesian game and find its set of Bayes-Nash equilibria (hint: consider a cutoff strategy such that C if c; k).