Probability Assignment | Professional Writing Services
2 candidates A, B compete in an election. Of the n citizens, k support candidate A and the remaining (n – k) support B. Each citizen whether to abstain or to vote at a cost. A citizen who abstains receives payoff 2 if the candidate she supports wins,
1 if this candidate ties for 1st place, and 0 if the candidate loses. A citizen who votes receives the same payoffs, minus voting cost 0 < c < 1: Assume that k ≤n/2. Find p such that the following is a NE: -each candidate who supports A votes w.p. pk of the B-supporters each vote w.p. 1 -the remaining n – 2k B-supporters all abstain. How does voter turnout depend on c? Also, note: if every A supporter votes w.p. p; then the probability that all k of them vote is p^k; and the probability that exactly (k-1) of the vote is (kp^(k-1))(1 – p).
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