1. Describe the terms the plurality and the majority with anexample.2. Which method could violate the Majority Criterion and whichmethods always satisfy the monotonicity criterion?3. If there are six candidates, how many comparisons should bemade?4. In which apportionment method, the modified divisor is greaterthan the standard divisor?5. Name the apportionment method in which we round eachgroup's modified quota to the nearest whole number?6. Name the paradox. " The addition of a new group changed theapportionments of other groups"7. Explain your or own word or write the formula for how to findastandard divisor?

Q-1 plurality method according to plurality method, one with the first preference votes is declared…

Answered: 1. Describe the terms the plurality and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider a multinomial experiment. This means the following. (refer to screenshot) A city is having an election to determine the establishment of a new municipal electrical power plant. The new plant would emphasize renewable energy (e.g., wind, solar, geothermal). A recent large survey of voters showed 70% favor the new plant, 20% oppose it, and 10% are undecided.
3. If there are six candidates, how many comparisons should be made? 4. In which apportionment method, the modified divisor is greater than the standard divisor?
F959 - QUESTION 4. BORDA COUNT. The animals get sick and tired of having the Lion be the King of the Jungle, and they overthrow the Lion and hold an election for President of the Jungle. The candidates an the Zebra, the Elephant, the Baboon and the Hyena, and there are 67 voters. The 67 preference lists fall into 6 categories, as summarized below. Using the Borda count method, show the results of the election. 15 Zebra 13 Baboon 12 Zebra 10 Elephant Elephant Hyena 4₂15760 4•13=524.12 48 4.10€ 40 4x936 4×8=33 Hyena Hyena Baboon Hyena Elephant 3-15-45 3-13-39 3·12-30 3·10-30 3x9-27) 3x 8-24 Baboon Zebra Baboon Elephant 1.13 €13/1•12= 12 1·10 = (10) 9 Baboon Zebra Hyena Elephant Elephant Zebra 215- (30) 2.13 (24) 2-12 (24) 2·10 -(20) 2×9=182x8=16) Baboon Zebra 1.15-(15 Hyena 8 1x9 ✓9-9 1x8=8
13. Use the following preference schedule to answer the following question: Using plurality-with-elimination, who was eliminated 1st?
Suppose that the pairwise comparison method Number of votes is used on the following preference table. If the First five voters who voted B, A, D, C, in that order, Second change their votes to A, C, B, D, is the monotonicity criterion satisfied? Explain. 8 7 6. A C C Third D В Fourth A Choose the correct answer below. O A. Yes. Candidate A wins by pairwise comparison. If the voters change their preference as described, candidate A still wins by pairwise comparison. B. Yes. Candidate C wins by pairwise comparison. If the voters change their preference as described, candidate A wins by pairwise comparison although candidate C has not lost any support. C. No. Candidate D wins by pairwise comparison. If the voters change their preference as described, candidate D still wins by pairwise comparison. D. No. Candidate A wins by pairwise comparison. If the voters change their preference as described, candidate C wins by pairwise comparison although candidate A has not lost any support. LO m <…
Consider the weighted voting system [5: 3, 2, 1, 1], what is the weight of the coalition formed by P1 and P2? 5 3 7 4
*Contemporary Mathematics*
Consider the weighted voting system [q: 11, 8, 7, 5, 2] a. What is the total weight of the system? 33 b. What is the smallest value that the quota q can take? 18 c. What is the largest value that the quota q can take? 33 d. What is the weight of the coalition formed by P₁ and P3? 18 e. For what values of the quota q is the coalition formed by P₁ and P2 a winning coalition? Enter values in increasing order separated by a comma but no spaces. |
only HANDWRITTEN answer needed ( NOT TYPED)
The members of a town board are holding an election to select a company to maintain the property at the town park. The choices are: • Lucky Lawn (L), • Trawick Landscape (T), • Johnson's Lawncare (). The 15 board members ranked their choices and used the Borda count method to make their selection. What are the results using the Borda method? Does this violate the majority criterion? Number of votes 8 2 First L Second Third a Lucky Lawn = 33, no violate the majority criterion. b Trawick Landscape = 37, yes, it violates the majority criterion. C Lucky Lawn = 8 first place votes and it does not violate the majority criterion. d. Trawick Landscape = 7 first place votes and it does not violate the majority criterion. %3D O O O O
i need c for number 6
If Peter is preferred over Ned in a head-to-head comparison and Peter is preferred over MJ and Peter is preferred over May, then Ned should win the election. Does this satisfy the Condorcet Criterion? a. No, because it should be Peter. b. No, because it should be MJ. c. Yes, because it is an election. d. Yes, because it is a one-on-one comparison. It is sometimes called a “winner-take-all” method. a. Plurality Method b. Borda Count Method c. Pairwise Comparison d. Plurality with Elimination

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