Probability of winning in election.

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Consider the race for governor of a small state. The population of the state is evenly divided between three cities-Riverville, Hanover, and Danbury. The governor's race is between Ron Ruskin (the mayor of Riverville) and Ted Topple (the mayor of Hanover). Assume that no matter what is said during the campaign, Ruskin can count on the support of 100% of the Riverville population, and Topple can count on the support of 100% of the Hanover population. Assume 100% voter participation. According to the result of majority-rule voting, the next governor will be the one preferred by the majority of the residents of The two candidates are asked in a debate about their support of recreational subsidies. Public opinion polls in the city you just identified have shown the following about the level of recreational subsidies desired: • 70% want a low level 20% want a medium level • 10% want a high level Assuming that voters prefer outcomes closer to their preferred choices to outcomes further away,…

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Chapter 19, Problem 3WNG

To determine

Probability of winning in election.

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Consider the race for governor of a small state. The population of the state is evenly divided between three cities-Riverville, Hanover, and Danbury. The governor's race is between Ron Ruskin (the mayor of Riverville) and Ted Topple (the mayor of Hanover). Assume that no matter what is said during the campaign, Ruskin can count on the support of 100% of the Riverville population, and Topple can count on the support of 100% of the Hanover population. Assume 100% voter participation. According to the result of majority-rule voting, the next governor will be the one preferred by the majority of the residents of The two candidates are asked in a debate about their support of recreational subsidies. Public opinion polls in the city you just identified have shown the following about the level of recreational subsidies desired: • 70% want a low level 20% want a medium level • 10% want a high level Assuming that voters prefer outcomes closer to their preferred choices to outcomes further away,…

Consider two political candidates A and B facing an electorate with ideological positions uniformly distributed between 0 and 1. (To remind you, uniformly distributed means there are equal numbers of voters in the interval between 0.4 and 0.6 as between 0.8 and 1.0 and any interval of the same length.) Candidates want to maximize their vote shares. Each simultaneously and independently of the other announces a position between O and 1. A voter chooses to vote for a candidate who is closest to her but will abstain rather than vote for a candidate whose announced position is more than 0.20 distance away. Is there a Nash equilibrium in pure strategies? Explain your answer.

Explain why majority rule respects the preferencesof the median voter rather than those of the averagevoter.