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26. Consider the following preference profile: No. of Votes 8 7 7 5 5 4 4...
please explain why Suppose that we have three voters and four alternatives, and suppose the individual preference lists are as follows: Voter 1: abcd Voter 2: cabd Voter 3: b dca Suppose that the social choice procedure being used is sequential pairwise voting with a fixed agenda, and that you have agenda-setting power (that is, you get to choose the order). What order should you choose if you want alternative a to be the social choice? O a vs. d,...
Question 7: [10pt total] Consider the following voter profile: Votes 13 9 8 10 Preferences А с B D B с D A с B D А D B с Calculate the following: 7)a) [3pt) Social ranking under the Plurality system. Plurality Social Ranking: 7)b) (3pt) Social ranking under the Instant Runoff system. Instant Runoff Social Ranking: 7)c) [4pt Condorcet winner (if one exists). Condorcet Winner:
Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D Preferences D C А B D B Assume the voting system is the Borda voting system. 8)a) [3pt) Calculate the social ranking, assuming the voters voted sincerely? Social Ranking: 8)b) [6pt) Show that there is a way for D to win the election through tactical voting, and calculate the new social ranking. New Social Ranking: 8)c) [1pt] What is the type of tactical voting...
81 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes 37 21 12 11 First Choice D A B C Second Choice A B C D Third Choice B C A A Fourth Choice C D D B
Question 2 1. (4) Consider the following set of preferences Person 1: A >B>C Person 2: C> A >B Person 3: B>C>A Person 4: A >C>B Person 5: B > A >C moo Based on pairwise majority rule, is there a Condorcet winner? Why or why not? Is there a preference cycle? 2. (4) Given the above, consider an agenda: A versus C, winner versus B. What is the outcome of this agenda assuming that all players vote sincerely? Sincere...
5. First Profile #of Ranking Voters A 10-member committee is selecting a site for its next meeting. The 4 B>C>A>D choices are City A, City B, City C, and City D. 3 D>A>C>B 2 D>A>> 1 C>B>A>D Second Profile #of Ranking Voters 4 B>C>A>D 3 D>A>C>B 2 D>ABC 1 B>D>CA (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 10 members rank the choices according...
Need some help with this question! Each dictionary is essentially one votes so first example total votes is 3. Please add comments to explain. Language is python Votes Needed to Win [5 points] 3.1 Many voting systems use the Droop Quota to determine if a candidate has enough votes to win: total votes RoundDown 1 winners 1 So far in this assignment we have been dealing with voting systems where there is only one winner in each riding. (This will...
dont need help on the first two pictures, only need help underatanding these: number 1,2,3,4,5,6. please help:/ O Yes. The Condorcet winner is never the majority winner Yes. The Condorcet winner is not required to receive over 50% of the possible vote. O No. The Condorcet winner is automatically the majority winner. No. The Condorcet winner always receives over 50% of the possible vote. 7. Using this preference schedule, which candidate is the Condorcet winner? (1 point) number of votes...
Question 2: Agenda Setting Consider there are three groups of people in Congress: Liberals, Moderates, and Conservatives. It does not matter the size of the groups - just that none of the groups is large enough for a majority - so it requires two groups to vote a certain way for something to pass. Therefore we can treat this like three people and voting where majority rules (another example of this is you with two friends trying to decide on...
Exercise 7-5 (Algo) Preference Ranking [LO7-5] Information on four investment proposals is given below: Investment Proposal D A B $(390,000) $(30,000) $(40,000) $(600,000) 551,000 Investment required Present value of cash inflows 64,100 41,000 800,000 $161,000 $ 11,000 $24,100 $ 200,000 5 years Net present value Life of the project 6 years 7 years 6 years Required: 1. Compute the project profitability index for each investment proposal. (Round your answers to 2 decimal places.) 2. Rank the proposals in terms of...