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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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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- 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, please explain ?Mr. and Mrs. Ward typically vote oppositely in elections and so their votes "cancel each other out." They each gain 24 units of utility from a vote for their positions (and lose 24 units of utility from a vote against their positions). However, the bother of actually voting costs each 12 units of utility. The following matrix summarizes the strategies for both Mr. Ward and Mrs. Ward. Mr. Ward Vote Vote Mrs. Ward Mr. Ward: -12, Mrs. Ward: -12 Don't Vote Mr. Ward: -24, Mrs. Ward: 12 The Nash equilibrium for this game is for Mr. Ward to payoff of Don't Vote Mr. Ward: 12, Mrs. Ward: -24 Mr. Ward: 0, Mrs. Ward: 0 units of utility and Mrs. Ward receives a payoff of and for Mrs. Ward to units of utility. Under this outcome, Mr. Ward receives aMatch 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.
- 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?…Answer it correctly please. I ll rate accordingly with multiple votes. Explain why the options are correct or incorrect.Answer it correctly please. I ll rate accordingly with multiple votes. Explain well.
- 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. BConsider 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.Exercise 1.12. Consider the following game. There is a club with three members: Ann, Bob and Carla. They have to choose which of the three is going to be president next year. Currently Ann is the president. Each member is both a candidate and a voter. Voting is as follows: each member votes for one candidate (voting for oneself is allowed); if two or more people vote for the same candidate then that person is chosen as the next president; if there is complete disagreement, in the sense that there is exactly one vote for each candidate, then the person from whom Ann voted is selected as the next president. (a) Represent this voting procedure as a game frame, indicating inside each cell of each table which candidate is elected. (b) Assume that the players' preferences are as follows: AnnAm Carla Ann Bob, Carla Bob Ann, Bob Carla Ann Caria Carla. Using utility values 0, 1 and 2, convert the game frame into a game. (c) Apply the IDWDS to the game of part (b). Is there a weak iterated…
- Answer it correctly please, MY LAST ATTEMPT. I ll rate accordingly with multiple votes. Do it correct and fast. Explain well.Ex. 4 Strength Can Be Weakness A three-person committee has to choose a winner for a prize. After some debate, there are three candidates still under consideration. Let's call these candidates a, b and c, and call those committee members 1, 2 and 3. The committee members only care about which candidate wins the prize, and their preferences as follows: member 1 prefers a to b and b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The rules of the competition say that the committee should first apply majority vote (secret ballot, one member one vote) and the candidate with the most votes wins. If the vote is tied, that is, the majority rule select a unique winning candidate, then the winner will be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an advantage. (1) Write down the strategic form of this voting game. [You may assign any number to the payoff of each voter, as long as it is consistent with her preference order.] (2)…Ex. 4 Strength Can Be Weakness A three-person committee has to choose a winner for a prize. After some debate, there are three candidates still under consideration. Let's call these candidates a, b and c, and call those committee members 1, 2 and 3. The committee members only care about which candidate wins the prize, and their preferences as follows: member 1 prefers a to b and b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The rules of the competition say that the committee should first apply majority vote (secret ballot, one member one vote) and the candidate with the most votes wins. If the vote is tied, that is, the majority rule select a unique winning candidate, then the winner will be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an advantage. (1) Write down the strategic form of this voting game. [You may assign any number to the payoff of each voter, as long as it is consistent with her preference order.] (2)…