Microeconomics (Book Only)
12th Edition
ISBN: 9781285738307
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 18, Problem 1WNG
To determine
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CANDIDATE
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-FAR RIGHT
In a congressional district somewhere in the U.S., a new representative is being elected. The voters all have one-dimensional political views that can be neatly arrayed on a left-right spectrum. We can define the ”location” of a citizen’s political views in the following way. The citizen with the most extreme left-wing views is said to be at point 0 and the citizen with the most extreme right-wing views is said to be at point 1. If a citizen has views that are to the right of the views of the fraction x of the state’s population, that citizen’s views are said to be located at point x. There are two candidates for the congressional seat and they are forced to publicly state their own political position simultaneously on the zero-one left-right scale.
1.a Suppose voters always vote for the candidate whose stated position is nearest to their own views and suppose each candidate cares only about getting as many votes as possible.
In equilibrium, what will be the two candidates’ positions?…
Consider the race for governor of a small state. The population of the state is evenly divided between three cities-Riverville, Hanover, and Danbury.
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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
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Chapter 18 Solutions
Microeconomics (Book Only)
Ch. 18.3 - Prob. 1STCh. 18.3 - Prob. 2STCh. 18.3 - Prob. 3STCh. 18.4 - Prob. 1STCh. 18.4 - Prob. 2STCh. 18.6 - Prob. 1STCh. 18.6 - Prob. 2STCh. 18.6 - Prob. 3STCh. 18.6 - Prob. 4STCh. 18 - Prob. 1VQP
Ch. 18 - Prob. 2VQPCh. 18 - Prob. 3VQPCh. 18 - Prob. 4VQPCh. 18 - Prob. 5VQPCh. 18 - Prob. 1QPCh. 18 - Prob. 2QPCh. 18 - Prob. 3QPCh. 18 - Prob. 4QPCh. 18 - Prob. 5QPCh. 18 - Prob. 6QPCh. 18 - Prob. 7QPCh. 18 - Prob. 8QPCh. 18 - Prob. 9QPCh. 18 - Prob. 10QPCh. 18 - Prob. 11QPCh. 18 - Prob. 12QPCh. 18 - Prob. 1WNGCh. 18 - Prob. 2WNGCh. 18 - Prob. 3WNG
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- Match the following according to the criterion. If a candidate receives [ Choose ] more than half the first- place votes in an election, then that candidate should be declared the winner. If a candidate is favored [ Choose ] when compared separately with every other candidate in an election, then that candidate should be declared the winner. If a candidate wins an [ Choose] election and, in a reelection, the only changes are changes that favor the candidate, then that candidate should win the reelection. If a candidate wins an [ Choose ] election and, in a recount, the only changes are that one or more of the other candidates are removed from the ballot, then that candidate should still win the election.arrow_forwardAssume there are three voters: A, B and C. Voter preferences can be ranked along a left-to-right spectrum that ranges from 1-9; 1 being the most left leaning preference and 9 being the most right leaning preference. Suppose these voters will choose between candidates Smith and Jones in an upcoming election. Assuming the following voter preferences: True/False Explain: If the median voter theorem holds, candidates Smith and Jones will either both adopt preference 5 OR one will adopt preference 4 while the other adopts preference 6. B. Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 4. How does the median voter model predict candidates Smith and Jones will change their preference? C. Keeping the assumptions from B, how does the election result change if a tax on non-voters doubles the number of voters while preserving the distribution of preferences? D. If the tax in C induces 100% compliance (everyone votes), did this tax…arrow_forwardConsider 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.arrow_forward
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