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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

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 citizenwho votes receives the same payoffs, minus a 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.="" p="" -k="" 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="" them="" vote="" is="" (kp^(k-1))(1="" -="">

Apr 23 2020 View more View Less

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