Macroeconomics
13th Edition
ISBN: 9781337617390
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 19, Problem 1WNG
To determine
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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?…
Arrow's impossibility theorem states that under certain assumptions about preferences, no voting system exists that satisfies all of the following properties:
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Unanimity
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Transitivity
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Independence of irrelevant alternatives
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No dictators
Political Economy Assume 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.
Voter Id
Preference(1-9)
A
4
B
5
C
6
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.
Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 5. How does the median voter model predict candidates Smith and Jones will change their preference?
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?
If the tax in C induces 100%…
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- Political Economy Assume 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. Voter Id Preference(1-9) A 4 B 5 C 6 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. Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 5. How does the median voter model predict candidates Smith and Jones will change their preference? 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? If the tax in C induces 100%…arrow_forwardPolitical Economy Assume 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. Voter Id Preference(1-9) A 4 B 5 C 6 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 5. 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…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
- PLEASE HOW TO THINK ABOUT IT AND SOLVEarrow_forwardGermany and the US are both presidential systems. Group of answer choices True Falsearrow_forwardA situation in which society may not be able to rank its preferences consistently through paired-choice majority voting refers to Multiple Choice: A. the median-voter model. B. logrolling. C. the paradox of voting. D. the special-interest effect.arrow_forward
- Some countries rely relatively heavily on taxes that distort economic behavior and others do not. A recent econometric study found that countries in the latter category tend to grow faster than countries in the former (Kneller et al.. 1999). Use the discussion surrounding Figure 15.9 to explain this phenomenon.arrow_forwardThree policymakers are discussing how to ensure a just distribution of the national cake. One thinks a Just distribution is sharing the national cake equally, the other thinks a just distribution is rather sharing the national cake fairly, yet the third thinks a just distribution entail giving everyone his due. explain what the reason for their different views could be. Suggest way(s) to make progress in such a scenario. (Your response should be between 500 and 600 words).arrow_forwardZack and Cody live in a household together. Can the household maximise utlity of both members? Please use one One a unitary model and the other a non-unitary model to help me understand as I am stuck. (Many thanks for helping me). (Unitary model, Black-box apprach)?arrow_forward
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