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2 Collective-Action Games 2.1 Textbook Page 461, Chapter 11, Question S4 Suppose an amusement park is being built in a city with a population of 100. Voluntary contributions are being solicited to cover the cost. Each citizen is being asked to give $100. The more people contribute, the larger the park will be and the greater the benet to each citizen. But is is not possible to keep out the noncontributors; they get their share of this benet anyway. Suppose that when ther are n contributors in the population, where n can be any whole number between 0 and 100, the benet to each citizen in monetary unit equivalents is 712 dollars. (a) Suppose that initially no one is contributing. You are the mayor of the city. You would like everyone to contribute and can use persuasion on some people. what is the minimum number whom you need to persuade before everyone else will join in voluntarily? (b) Find the Nash equilibrium of the game where each citizen is deciding whether to contribute