2 candidates compete by selecting a location in the interval [0,1]. Whichever location is closer to the median voter wins. The median voter is a random variable drawn from the uniform distribution on [0,1]. In class we assume that the utility to candidate 1 from the location of the winning positin, w is –(0-w)^2, and the utility to candidate 2 from the winning location w is –(1-w)^2
2 candidates compete by selecting a location in the interval [0,1]. Whichever location is closer to...
2 candidates compete by selecting a location in the interval [0,1]. Whichever location is closer to the median voter wins. The median voter is a random variable drawn from the uniform distribution on [0,1]. In class we assume that the utility to candidate 1 from the location of the winning positin, w is –(0-w)^2, and the utility to candidate 2 from the winning location w is –(1-w)^2 answer both a) AND b) please 2. Reconsider the model of 2 candidate...
2. Reconsider the model of 2 candidate competition (over school locations) with candidates that face uncertainty about the location of the median voter. In particular both candidates believe the median, m is uniformly distributed on the unit interval a) First assume that the candidates care only about winning (obtain- ing a payoff of 1 from a win, ^ from a tie and 0 from losing). Find the Nash equilibria to this game. (b) Now assume that the candidates care about...
2. Reconsider the model of 2 candidate competition (over school locations) with candidates that face uncertainty about the location of the median voter. In particular both candidates believe the median, m is uniformly (a) First assume that the candidates care only about winning (obtain ing a payoff of 1 from a wifro a tie and 0 from losing). Find the Nash equilibria to this game. b) Now assume that the candidates care about policy and winning So candidate 1 obtains...
4. (Voter Participation): 2 candidates A and B compete in an election. Of the n citizens, k support candidate A and the remaining (n − k) support B. Each citizen chooses 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 a voting cost 0...