Thirteen students decide to vote on whether to play basketball B, soccer S, or volleyball V after school.Their preferences are given below:5421st choiceВVSV2nd choiceВV3rd choiceVВВFind the winners using the different methods below (ties are allowed):a. Pluralityb. Borda methodc. Pairwise comparisond. Plurality with elimination

Voting refers to the process of choosing leaders or for taking decisions over a set of preferences.…

Thirteen students decide to vote on whether to play basketball B, soccer S, or volleyball V after school. Their preferences are given below: 5 4 2 2 1st choice B V S V 2nd choice 3rd choice B V V S В В Find the winners using the different methods below (ties are allowed): a. Plurality b. Borda method c. Pairwise comparison d. Plurality with elimination

Thirteen students decide to vote on whether to play basketball B, soccer S, or volleyball V after school. Their preferences are given below: 5 4 2 2 1st choice B V S V 2nd choice 3rd choice B V V S В В Find the winners using the different methods below (ties are allowed): a. Plurality b. Borda method c. Pairwise comparison d. Plurality with elimination

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.15P

See similar textbooks

Similar questions

Kimberly's sister would like to start a business with her brother selling simple T-shirts that are green in color at all stores in the area. Her brother disagrees and thinks that the shirts should have a special logo on them and should be sold only at specific stores. As the deciding vote, what should Kimberly choose and why? Choose one: A selling green T-shirts because prices will be higher as the number of stores increases B. selling green T-shirts because prices will be higher as the shirt becomes more commonplace OC. selling shirts with a special logo because prices will be higher as the shirts becomes more unique OD. selling shirts with a special logo because prices will be higher as the shirts are sold in fewer stores OE. both C and D
1.4. Suppose you are against one of two alternatives but 90% of theelectorate disagrees with your position and favors that option. Is there avoting method that is anonymous, neutral, and monotone that preventsthat option from being selected as the winning alternative?
ASAP Please! In a variation of the coin game, there are 22 coins. Two players take turns and take between 1 and 3 coins each time. The player who takes the last coin loses the game. We may consider this a sequential game and thus could model this using an extensive form game. To win this game, the first mover should take Group of answer choices А.2 coins В.1 coin C. Any number, because no matter what, the first player loses the game D.3 coins
Number of Votes 63 43 21 21 A reality show is considering three cities for their new season: Philadelphia (P), Reno (R), or Memphis (M). A chosen group of people will vote to decide where the new season will be taped. The winning city is to be determined by the plurality method. The preference table for the election is shown. 1st Choice P M M 2nd Choice R 3rd Choice M a) Which city is favored over all others using a head-to-head comparison? b) Suppose that the plurality method is used to determine the winner. Is the head-to-head criterion satisfied? Why or why not? a) The city favored over all others using a head-to-head comparison is b) Is the head-to-head criterion satisfied? Why or why not? No. The city favored over the rest in a head-to-head comparison lost the election. Yes. The city favored over the rest in a head-to-head comparison lost the election. Yes. The city favored over the rest in a head-to-head comparison won the election. No. The city favored over the rest in a…
Player Rhas a $2, a $5, and a $10 bill. Player Chas a $1, a $5, and a $10 bill. Each player selects and shows (simultaneously) one of his or her three bills. If the total value of the two bills shown is even, Rwins Cs bill; if the value is odd, Cwins Rs bill. (Which player would you rather be?) (A) Set up the payoff matrix for the game. (B) Solve the game using the simplex method discussed in this section. (Remove any recessive rows and columns, if present, before you start the simplex method.)
0 E F 3 2 FIGURE 2 23 D G 2 H 0 1 (2) Two friends, Albert (A) and Berta (B), have to decide on going to one of three bars, Xenia's (X), Yara's (Y), or Zana's (Z). They decide to select a bar by alternatively vetoing bars until one remains. First Albert vetoes a bar. If at least two bars remain, then Berta vetoes another bar. That process continues until a single bar remains unvetoed. Suppose Albert prefers Xenia's to Yara's to Zana's and Berta prefers Zana's to Yara's to Xenia's. Assume that, for each of the two, going to their most preferred bar gives a utility of 2, going to their next preferred bar gives a utility of 1, and going to their least preferred bar gives a utility of 0. Model this as an extensive form game and find its Nash equilibria. Which of the Nash equilibria are subgame perfect?
6. Most Bengal tigers (Panthera tigris) are orange with black stripes. Occasionally, however, they can be white with black stripes. The white phenotype is recessive to orange. In one study, a white and an orange tiger were bred in a zoo. These 2 tigers eventually bad 10 offspring: 4 white and 6 orange. What are the genotypes of the two parents? 6. If the orange tiger from the previous question is crossed with one of its orange offspring, what is the probability of obtaining a white tiger from the cross? 7. In snapdragons, a species of plant, red flower color is incompletely dominant over white, the heterozygotes being pink. If you want to produce seed that will yield only pink flowering plants, what would you cross? 8. George has type A blood and his wife Harriet has type B blood. They have a daughter with type O blood. What is the probability that their next child will have type AB blood?
Suppose several friends go out to dinner with the understanding that the bill will be divided equally. The problem is that someone might order something expensive, knowing that part of the cost will be paid by others. To analyze such a situation, suppose n diners are present, and, for sim- example, if three diners are present and each orders a different meal, then plicity, they have the same food preferences. The accompanying table states the price of each of three dishes on the menu and how much each the payoff to the one ordering the pasta dish is (14 + 21 + 30` 21 – = 21 – 21.67 = -0.67 person values it. Value is measured by the maximum amount the person would be willing to pay for the meal. the payoff for the person ordering the salmon is Dining Dilemma 14 + 21 + 30` 26 – = 4.33 Dish Value Price Surplus 3 Pasta Primavera $21.00 $14.00 $7.00 and the payoff to whoever is ordering the steak is Salmon $26.00 $21.00 $5.00 14 + 21 + 30` 29 – = 7.33 Filet Mignon $29.00 $30.00 -$1.00 3 Not…
All societies must take decisions on collective resources should be allo- cated. In democratic societies such decisions are often taken by majority voting, as a matter of fact democracy is often associated with majority voting. However, it has for a long time been known that this way of taking collective decisions is associated with certain problems. (a) Assume that a small city should decide whether they should build a new public library (x), a new public swimming pool (y), or improving the street lightning along the city's main street (z). Only one of these alternative can be started during the next budget year. The city population can be divided into three equally large groups, the members of each group has the following preference ordering for these alternatives: 1:x > y > z, 2: y > z> x, 3:z > x> y.
Consider IC1. Good X • B • D E Good Y If given a choice between A and D the person will always choose D If given a choice between A and E the person will always choose E O If given a choice between A and G the person will always choose G If given a choice between A and B the person will always choose B Moving from B to D, the person is giving up Good X and getting Good Y. It is uncertain if the person prefers B over D because it's uncertain if he values the extra Y he gets give more enjoyment than the enjoyment he loses from having less X.
Exercise 5 In a first-price all-pay auction, the bidders simultaneously submit sealed bids. The highest bid wins the object and every bidder pays the seller the amount of his bid. Assume that there are two bidders and each bidder's value is drawn from the uniform distribution on [0, 1]. (a) Show that b;(v;) = º for i = 1, 2 is a Bayesian Nash equilibrium. (b) Calculate the expected revenue for the seller.
Q-2. In order to fight for market share, two companies A and B each have the following strategies, company A has 4 strategies, namely Newspapers, Radio, TV and Social Media, while B has 3 strategies, namely Newspapers, Radio and TV. (percentage of market share.%) are as follows: Matriks Payoff: Asked: i A Koran Radio TV Sosmed B Koran Radio TV -2 1 2 3 -1 -2 -1 1 3 1 2 4 a. Does the game have a Saddle point? b. If not, determine Optimal strategy A and B