Principles of Economics (MindTap Course List)
8th Edition
ISBN: 9781305585126
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 22, Problem 5CQQ
To determine
The application ofMedian voter theorem.
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Mr. and Mrs. Smith vote opposite in presidential elections in a swing state. Assign 1 point for voting your preferred candidate and 0 points if you don’t vote. If you don’t want your candidate to lose, what is the Nash equilibrium in this situation?
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Chapter 22 Solutions
Principles of Economics (MindTap Course List)
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- 4.1. The vote-for-two method works as follows: Candidates get apoint whenever a voter ranks them first or second. The candidate withthe most points is declared to be the winner (or if several candidates tiefor the most points, they are all declared to be winners).(a) Does the vote-for-two method satisfy the Condorcet criterion?(b) Does the vote-for-two method satisfy the anti-Condorcet criterion?(c) Does the vote-for-two method satisfy the Pareto property?(d) Is the vote-for-two method independent?arrow_forwardImagine that two firms in two different countries want to bring a new product tomarket. Due to economies of scale, if both firms do this, they will both lose £50million. But if only one firm does this, it will gain £300 million.(a) What is the best strategy for firm A, if firm B has not yet entered the market, andwhy?(b) Illustrate this with a game theory diagram, showing appropriate payouts.(c) What is the welfare-maximising strategy for a government, and why?arrow_forward5) Three legislators are set to vote on a bill to raise the salary of legislators. The majority wins, so all three will receive the raise if at least two of them vote in favor of the bill. The raise is valued at R by each legislator. Voting in favor of the bill comes with political backlash from constituents, though, even if the bill fails. Let C be the cost of backlash for anyone voting in favor of the bill. Finally, suppose that 0 < C < R. There are four possible payoffs for each legislator: 0: if they vote against the bill and at least one other legislator votes against it (so the bill fails) R: if they vote against the bill and the others vote for the bill (so the bill passes) -C: if they vote for the bill and no one else votes for the bill (so the bill fails) R-C: if they vote for the bill and at least one other legislator votes for it (so the bill passes). The three legislators are named X, Y, and Z, and voting happens sequentially and orally. So X announces their vote (to…arrow_forward
- 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. 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_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. 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. 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_forward
- Explain why majority rule respects the preferencesof the median voter rather than those of the averagevoter.arrow_forwardExplain the role that is played by the three decision makers in the economyarrow_forwardDefine fairness and give examples of how it affects behavior in the economy and in the dictator and ultimatum games.arrow_forward
- Suppose that friends Jennifer, Stephanie, and Megan cannot agree on how much to spend for a bouquet of flowers to send to a person who allowed them to use her beach house for the weekend. Jennifer wants to buy a moderately priced bouquet, Stephanie wants to buy an expensive bouquet, and Megan wants to buy a very expensive bouquet. Assuming no paradox of voting, majority voting will result in the decision to buy Multiple Choice an inexpensive bouquet. a very expensive bouquet. a moderately priced bouquet. an expensive bouquet. Barrow_forwardIn 1938, major powers met in Munich to discuss Germany’s demands to annex part of Czechoslovakia. Let us think of the issue as the proportion of Czechoslovak territory given to Germany. Possible outcomes can be plotted on a single dimension, where 0 implies that Germany obtains no territory and 1 implies that Germany obtains all of Czechoslovakia: Most countries at Munich (“Allies” for short) wish to give nothing to Germany: their ideal point is 0, which gives them utility of 1. Their worst possible outcome is for Germany to take all of Czechoslovakia; hence an outcome of 1 gives them utility of 0. In between these extremes, the Allies could propose a compromise, X, which gives them utility of 1 – X. The question for the Allies is whether to propose a compromise or fight a war with Germany, which they are sure will ensue if they offer nothing. If they propose a compromise and Germany accepts, they get a payoff of 1 – X. If they fight, they win with probability p and lose with…arrow_forwardIn 1938, major powers met in Munich to discuss Germany’s demands to annex part of Czechoslovakia. Let us think of the issue as the proportion of Czechoslovak territory given to Germany. Possible outcomes can be plotted on a single dimension, where 0 implies that Germany obtains no territory and 1 implies that Germany obtains all of Czechoslovakia: Most countries at Munich (“Allies” for short) wish to give nothing to Germany: their ideal point is 0, which gives them utility of 1. Their worst possible outcome is for Germany to take all of Czechoslovakia; hence an outcome of 1 gives them utility of 0. In between these extremes, the Allies could propose a compromise, X, which gives them utility of 1 – X. The question for the Allies is whether to propose a compromise or fight a war with Germany, which they are sure will ensue if they offer nothing. If they propose a compromise and Germany accepts, they get a payoff of 1 – X. If they fight, they win with probability p and lose with…arrow_forward
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