Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow’s election. Would such an agreement improve utility? Would such an agreement be an equilibrium?
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Suppose Mr. and Mrs. Ward agreed not to vote in tomorrow’s election. Would such an agreement improve utility? Would such an agreement be an equilibrium?
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- urgent 1.11. Because ties are possible in the United States Senate, the Constitution provides for the vice president to cast a tie-breaking vote. One cantherefore think of the Senate as a body with 101 voters, 100 of whomare senators and one of whom is the vice president. The rules dictatethat the vice president votes only to break ties and not otherwise. Is thissystem anonymous?Problem 2. The planning committee for a renewable energy trade show is trying to decide what city to hold their next show in. The votes are shown below. Numbers of Voters 9 19 11 8 1st choice Buffalo Atlanta Chicago Buffalo 2nd choice Atlanta Buffalo Buffalo Chicago 3rd choice Chicago Chicago Atlanta Atlanta How many voters voted in this election? How many votes are needed for a majority? A plurality? Find the winner under the plurality method. Find the winner under the Borda Count Method. Find the winner under the Plurality with Elimination method. Find the winner under the Pairwise Comparison Voting method.3-Do you believe that it is ever justifiable to engage in illegitimate political behaviors such as backstabbingờ II so, what are some conditions that might justify such behavior?
- 5. Individual Problems 18-5 When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, the auctioneer actively woos representatives of other museums that have no chance of winning to attend anyway. Suppose a piece of art has recently become available for sale and will be auctioned off to the highest bidder, with the winner paying an amount equal to the second highest bid. Assume that most collectors know that Simone places a value of $65,000 on the art piece and that she values this art piece more than any other collector. Suppose that if no one else shows up, Simone simply bids $65,0002=$32,500$65,0002=$32,500 and wins the piece of art. The expected price paid by Simone, with no other bidders present, is . Suppose the owner of the artwork manages to recruit another bidder, Yakov, to the auction. Yakov is known to value the art piece at $52,000. The expected price paid by Simone, given the…urgent part D E 1.10. The US Federal System is the voting method for passing a bill intolaw. It involves 100 members of the Senate, 435 members of the Houseof Representatives, the vice president, and the president, for a total of537 voters. For a bill to pass, it must have a majority in the House, amajority in the Senate, with the possibility of the vice president breakinga tie, and the signature of the President; or if the president opposes thebill, it must have a 2/3 super-majority in both the House and Senate tooverride the veto. Otherwise the bill is defeated.Think of this as a social choice function where the alternatives areA, to pass the bill, or B, to defeat the bill. Does the US federal systemsatisfy:(a) the anonymity criterion?(b) the neutrality criterion?(c) the monotonicity criterion?(d) the decisiveness criterion?(e) the near decisiveness criterion?Suppose there is an election for Soft Drink Commissioner. The field consists of one candidate hunt the Pepsi petty and four from the Coca-Cola party. This would seem to indicate a strong preference for Coca-Cola among the voting population, but the Pepsi candidate ends up winning in a landslide. Why does this happen?
- True or false: Majority rule can fail to produce a single preferred outcome when there are more than two choices.part G H I 4.7. The instant recall method works as follows. If there is a candidatewith the majority of the first-place votes, that candidate is declaredthe unique winner. Otherwise, the candidate with the plurality of thefirst-place votes is eliminated from the slate and the process is repeatedamong the remaining candidates. (Ignore the possibility that there maybe a tie for plurality winner.) The method is inspired by the recall elections that are permitted for California gubernatorial elections, which ineffect leave a system where plurality winners lacking majority supportare recallable, and so the ultimate holder of the governor’s office, if theelectorate so chooses, is the first candidate able to withstand a recall(the first candidate to have majority support) after prior plurality winners are eliminated (i.e., recalled). Arnold Schwarzenegger took office inCalifornia via a recall election.(a) Does instant recall satisfy anonymity?(b) Does instant recall satisfy neutrality?(c)…Ma3. The payoff matrix below shows the payoffs for Stefan and Imani in a two strategy game. In the mixed strategy equilibrium, Stefan will play strategy Up with a probability of 1/5 and strategy Down with a probability of 4/5, and Imani will play strategy Left with a probability of 2/5 and strategy Right with a probability of 3/5. What is Stefan's expected payoff in the mixed strategy equilibrium? 10.6 5 4.56 10.4
- 16-1. Two equal sized newspaper have an overlap in circulation of 10% (10% of the subscribers subscribe to both newspaper). Advertisers are willing to pay $10 to advertise in one newspaper but only $19 to advertise in both , because they’re are unwilling to pay twice to reach the same subscribers. What’s the likely bargaining negotiation outcome if the advertisers bargain by telling each newspaper that they’re going to reach an agreement with the other newspaper so the gains to reaching agreement are only $9? Suppose the two newspaper merge. What is the likely post merger bargaining outcome?Suppose there are only five people in a society and each favors one of the five highway construction options in Table 16.2 (include no highway construction as one of the options). Explain which of these highway options will be selected using a majority paired-choice vote. Will this option be the optimal size of the project from an economic perspective?6 Two people will select a policy that affects both of them by applying a "veto" in a sequential and alternate manner, that is: person 1 begins to veto a policy and then person 2 exercises his "veto" with the remaining policies; the process repeats until only one policy remains. Assume that there are 3 policies: X,Y,Z, and that person 1 prefers X to Y to Z and person 2 prefers Z to Y to X. a. Represents the game extensively b. Give the number of subgames C. Indicate the total strategies of the players d. find all subgame perfect nash equilibria e. Find all Nash Equilibriums.