Consider a model of revolutions. Society is made up of N > 1 people. Simultaneously, each person chooses whether or not to participate. If n people participate, the probability the revolution succeeds is n/N. If the revolution succeeds, each member of society receives the benefits of a public good worth B. In addition, each person who participated in the revolution receives a benefit R if the revolution succeeds. (This extra benefit called a club good, might represent special access to government jobs for people who helped unseat the government once the new government is formed, or it might just represent an expressive benefit of participating in a victorious revolution.) The cost of participating is c > 0. Assume that R > cand that B + R < N × c. a. Suppose a player believes n other people will participate. What is her expected utility from participating? b. Suppose a player believes n other people will participate. What is her expected utility from not participating? (c) Write down a player’s best response correspondence.
Consider a model of revolutions. Society is made up of N > 1 people. Simultaneously, each person chooses whether or not to participate. If n people participate, the probability the revolution succeeds is n/N. If the revolution succeeds, each member of society receives the benefits of a public good worth B. In addition, each person who participated in the revolution receives a benefit R if the revolution succeeds. (This extra benefit called a club good, might represent special access to government jobs for people who helped unseat the government once the new government is formed, or it might just represent an expressive benefit of participating in a victorious revolution.) The cost of participating is c > 0. Assume that R > cand that B + R < N × c.
a. Suppose a player believes n other people will participate. What is her expected utility from participating?
b. Suppose a player believes n other people will participate. What is her expected utility from not participating?
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