Microeconomics
13th Edition
ISBN: 9781337671590
Author: Arnold
Publisher: Cengage
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Chapter 18, Problem 8QP
To determine
Calculate simple majority voting with consistent and inconsistent efficiency.
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"No voting system is perfect." What does it mean by economist K. Arrow? Give a brief account on Condorcet Voting Paradox. A public school district is voting on the school budget and the resulting student-teacher ratio. A poll finds that 20 percent of the voters want a ratio of 9:1, 25 percent want a ratio of 10:1, 15 percent want a ratio of 11:1, and 40 percent want a ratio of 12:1. What outcome would you expect the district to
Outline the median voter theorem and explain its importance to the successful application of a majority voting system.
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?…
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- Outline the median voter theorem and explain its importance to the successfulapplication of a majority voting system.arrow_forwardWeighted Voting Answer the following questions. 1. In the following weighted voting system example, identify the quota and the weights. [115: 25, 35, 56, 34, 78] a. The quota is: b. The weights are: 2. Given the following weighted voting system [78: 24, 40, 14], is there a dictator? If so, which player? 3. Given the following weighted voting system [16: 12, 7, 4], is there a player that has the veto power? If so, which player and why? Write your response below: 4. Consider the weighted voting system [14: 14, 10, 2, 1]. a. What is the quota? b. How many players are there? c. Identify any dictators. d. Identify any players with veto power. e. Identify any dummy player.arrow_forwardSuppose 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_forward
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