Microeconomics
21st Edition
ISBN: 9781259915727
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 5.A, Problem 1ARQ
To determine
Paradox of voting.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Let's see whether quadratic voting can avoid the paradox of voting that arose in Table 5.3 when using 1p1v in a series of paired-choice
majority votes. To reexamine this situation using quadratic voting, the table below presents the maximum willingness to pay of Garcia,
Johnson, and Lee for each of the three public goods. Notice that each person's numbers for willingness to pay match her or his
ordering of preferences (1st choice, 2nd choice, 3rd choice) presented in Table 5.3. Thus, Garcia is willing to spend more on her first
choice of national defense ($400) than on her second choice of a road ($100) or her third choice of a weather warning system ($0).
TABLE 5.3 Paradox of Voting
Preferences
Public Good
Garcia
Johnson
Lee
National defense
1st choice
3d cholce
2d cholce
Road
2d cholce
1st choice
3d cholce
Weather warning system
3d choice
2d choice
1st choice
Election
Voting Outcomes: Winner
1. National defense vs. road
National defense (preferred by Garcia and Lee)
2. Road vs.…
1.
Chapter 4
Market Failure Caused by Externalities
Page
94 Problem 1
Draw a supply and demand graph and
identify the areas of consumer surplus and
producer surplus. Given the demand curve,
how will an increase in supply affect the
amount of surplus shown in your diagram ?
Explain. LO4.1 (Differentiate between
demand-side market failures and supply-side
market failures.
2. Individual Problems 15-2
Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 20 units of utility from a vote for
their positions (and lose 20 units of utility from a vote against their positions). However, the bother of actually voting costs each 10 units of utility. The
following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward.
Mr. Ward
Vote
Vote Mr. Ward: -10, Mrs. Ward: -10
Don't Vote Mr. Ward: -20, Mrs. Ward: 10
The Nash equilibrium for this game is for Mr. Ward to
payoff of
O True
Mrs. Ward
O False
Don't Vote
Mr. Ward: 10, Mrs. Ward: -20
Mr. Ward: 0, Mrs. Ward: 0
units of utility and Mrs. Ward receives a payoff of
Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow's election.
This agreement not to vote
True or False: This agreement would increase utility for each spouse, compared to the Nash equilibrium from the previous part of the question.
and for Mrs. Ward to
units of utility.
a Nash…
Knowledge Booster
Similar questions
- Suppose Tom, Mary and Jill have apartments in the same building, and installing a security system for their building costs $750. Tom is willing to pay $100 for the security system, Mary is willing to pay $300 and Jill is willing to pay $300. If the three of them hold a vote on whether to install the system and split the cost equally, how will the vote go? O Nobody would vote yes O Only one would vote yes Only two would vote yes All three would vote yesarrow_forwardConsider the town of Springfield with only three residents, Sophia, Amber, and Cedric. The three residents are trying to determine how large, in acres, they should build the public park. The following table shows each resident's willingness to pay for each acre of the park. Acres 1 2 3 4 5 6 7 Sophia 0 acres O1 acre 2 acres 10 8 6 3 1 O3 acres 0 Willingness to Pay (Dollars) Amber Refer to Table 11-1. Suppose the cost to build the park is $24 per acre and that the residents have agreed to split the cost of building the park equally. If the residents vote to determine the size of park to build, basing their decision solely on their own willingness to pay (and trying to maximize their own surplus), what is the largest park size for which the majority of residents would vote "yes?" 24 18 14 8 6 4 2 Cedric 6 5 4 3 2 1 0arrow_forwardThe New York City Council is ready to vote on two billsthat authorize the construction of new roads in Manhattanand Brooklyn. If the two boroughs join forces, they can passboth bills, but neither borough by itself has enough powerto pass a bill. If a bill is passed, then it will cost the taxpayersof each borough $1 million, but if roads are built in aborough, the benefits to the borough are estimated to be $10million. The council votes on both bills simultaneously, andeach councilperson must vote on the bills without knowinghow anybody else will vote. Assuming that each boroughsupports its own bill, determine whether this game has anyequilibrium points. Is this game analogous to the Prisoner’sDilemma? Explain why or why not.arrow_forward
- Newfoundland’s fishing industry has recently declined sharply due to overfish- ing, even though fishing companies were supposedly bound by a quota agree- ment. If all fishermen had abided by the agreement, yields could have been maintained at high levels. LO4 Model this situation as a prisoner’s dilemma in which the players are Company A and Company B and the strategies are to keep the quota and break the quota. Include appropriate payoffs in the matrix. Explain why overfishing is inevitable in the absence of effective enforcement of the quota agreement. Provide another environmental example of a prisoner’s dilemma. In many potential prisoner’s dilemmas, a way out of the dilemma for a would-be cooperator is to make reliable character judgments about the trustworthiness of potential partners. Explain why this solution is not avail- able in many situations involving degradation of the environment.arrow_forward!arrow_forwardOnly typed answerarrow_forward
- 5arrow_forwardM7arrow_forward5. Consider a game where two voters decide on who to elect to a given office between two candidates. The economy can be in two states that we will call A and B; both voters agree that candidate 1 is the best if the state is A but candidate 2 is more suitable if the state is B. Assume that both voters' preferences are represented by the Bernouilli utility function that gives payoff 1 if the right candidate is elected for the realized state and 0 otherwise; if the candidates tie, each is selected with probability 1/2 so that expected payoff then is 1/2. Voter 1 is informed of the state of the economy while voter 2 is not. Voter 2 believes that the state is A with probability .9. Each voter has the option to vote for candidate 1, for candidate 2, or to not vote. (a) Formulate this situation as a Bayesian game. (b) Show that the game has exactly two pure strategy bayesian Nash equilibria, in one of which voter 2 does not vote and in the other of which they always vote for candidate 1. (c)…arrow_forward
- Number 3arrow_forward4.1. 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_forward8. Two states, A and B, have signed an arms-control agreement. This agreementcommits them to refrain from building certain types of weapons. The agreement is supposed tohold for an indefinite length of time. However, A and B remain potential enemies who wouldprefer to be able to cheat and build more weapons than the other. The payoff table for A (player1, the row player) and B (player 2, the column player) in each period after signing thisagreement is below. a) First assume that each state uses Tit-for-Tat (TFT) as a strategy in this repeated game.The rate of return is r. For what values of r would it be worth it for player A to cheat bybuilding additional weapons just once against TFT? b) For what values of r would it be worth deviating from the agreement forever to buildweapons? c) Convert both values you found in parts a and b to the equivalent discount factor dusing the formula given in lecture and section. d) Use the answers you find to discuss the relationship between d and r:…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you