There is an election with three candidates: Lady Left (LL). Care Central (CC), and Robert Right (RR). The following are the outcomes in various two- and three-way races: CC. 100%. RR, 0% /LL, 0%. CC/ 100% RR, 51%, LL, 49% RR, 35%. LU 33% CC 329 The voting system is such that first there is a three way race. Then, if none of the three candidates wins more than 50% of the votes, there is a two-way runoff election between the two can Is this voting system consistent? Explain which property of consistency is violated, if any. Short answer

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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With the GOP now in control of the U.S. House of Representatives, four House members - Marjorie Taylor Greene (Georgia), Jim Jordan (Ohio), Kevin McCarthy (California), and Elise Stefanik (New York) - sit down to a victory pizza party. Their large mushroom pizza with "Greene" peppers (12 slices) is divided among the four House members as follows: Marjorie Jim Kevin Elise 3 slices 3 slices 4 slices 2 slices The Donald (Trump, not duck) shows up with whom Marjorie, Elise, and Jim each share one slice of pizza. Kevin smiles politely. The new distribution of pizza is now: Marjorie Jim Kevin Elise Donald 2 slices 2 slices 4 slices 1 slice 3 slices Is the new distribution of pizza more or less equal than the distribution before Donald arrived? a. What is the Gini ratio before Donald's arrival? Please show your work, namely, the values for fi, yı, f2, y2, and so forth. {Note: You may check your answer at https://goodcaculators.com/gini-coefficient-caculator/} b. What is the Gini ratio after…

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[Adverse Selection] Each of the two players receives an envelope, in which there is anamount of money that is equally distributed from $0, $1, $2, ..., $100. The amounts in twoenvelopes are independent. After receiving the envelope, each individual can check exactlyhow much money is put in his/her own envelope. Then each player has the option to exchangehis/her envelope for the other individual's prize. The decisions are made simultaneously. Ifboth individuals agree to exchange, then the envelopes are exchanged; otherwise, if at leastone player chooses not to exchange, each individual keeps his/her own envelope and receivesits attached sum of money.a. Model this game as a static Bayesian game (write the normal formrepresentation) and find the Bayesian Nash equilibrium.b. Consider a new game where the probability distribution of money in eachenvelope is changed. The amount is equal to $100 with probability 90%, and is equalto each number in $0, $1, $2, ... ,$99 with probability 0.1%.…

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The answer is not the United States; Africa