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7) Suppose there is an election with four candidates A, B,C, D,E. Each voter submits a ranked lis...
Question 7: [10pt total] Consider the following voter profile: Votes 13 9 8 10 Preferences А...
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:
The given table shows the schedule for an election with five candidates (A, B, C, D,...
The given table shows the schedule for an election with five candidates (A, B, C, D, and E). The number of voters in this election was very large, so the of the preference schedule give the percent of voters instead of the number of voters. Find the winner of the election using the method of pairwise comparisons. 24 23 17 15 12 1st 2 of 3
4. (Voter Participation): 2 candidates A and B compete in an election. Of the n citizens,...
4. (Voter Participation): 2 candidates A and B compete in an election. Of the n citizens, k support candidate A and the remaining (n − k) support B. Each citizen chooses whether to abstain, or to vote at a cost. A citizen who abstains receives payoff 2 if the candidate she supports wins, 1 if this candidate ties for 1st place, and 0 if the candidate loses. A citizen who votes receives the same payoffs, minus a voting cost 0...
Ranked choice voting is a system of tallying election ballots that is used in many national...
Ranked choice voting is a system of tallying election
ballots that is used in many national and local elections
throughout the world. Instead of choosing a single candidate,
voters must rank the available candidates in the order of their
choice. For example, if three candidates are available, a
voter might choose #2, #1, and #3 as their choices, with #2 being
their first choice, #1 the second, and #3 the third.
The outcome is determined by a runoff, which follows...
Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D...
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...
QUESTION 1 Assume you have a world with 65 voters which can be grouped into four...
QUESTION 1 Assume you have a world with 65 voters which can be grouped into four different voter types based on their preferences over four options {A, B, C, and D). The table below shows how many voters are in each group and what the preferences over those options are for the voters within that group. Vater Type 1 Voter Type 2 Voter Type 3 Vater Type 4 20 Most Preferred 15 21 Least Preferred In other words, there are...
A set of 5 essays (A, B, C, D, E) were ranked by two evaluators. Both...
A set of 5 essays (A, B, C, D, E) were ranked by two evaluators.
Both gave the same ranking (D was first, E was second, B was third,
C was fourth, and A was fifth). In the calculation of Spearman rank
correlation, what is the sum of squares of differences of
ranks?
(i.e.
)
A. 1
B. 5
C. 25
D. 0
Using C language, write a program for the following: In a student representative council election, there...
Using C language, write a program for the
following:
In a student representative council election, there are ten (10)
candidates. A voter is required to vote a candidate of his/her
choice only once. The vote is recorded as a number from 1 to 10.
The number of voters are unknown beforehand, so the votes are
terminated by a value of zero (0). Votes not within and not
inclusive of the numbers 1 to 10 are invalid (spoilt) votes.
A file,...
To combat election fraud, your city is instituting a new voting procedure. The ballot has a...
To combat election fraud, your city is instituting a new voting procedure. The ballot has a letter associated with every selection a voter may make. A sample ballot is shown:- (Voter places a tick next to his or her preferred candidate, proposition and measure to indicate his/her vote) 1. Mayoral Candidates A. Pincher, Penny B. Dover, Skip C. Perman, Sue 2. PROP 17 D. YES E. NO 3. MEASURE 1 F. YES G....
Blocking Coalitions and the Banzhaf Power Index The four members, A, B, C, and D, of...
Blocking Coalitions and the Banzhaf Power
Index
The four members, A, B, C, and D, of an organization adopted the
weighted voting system {6: 4, 3, 2, 1}. The table below shows the
winning coalitions.
Winning coalition
Number of votes
Critical voters
{A, B}
7
A, B
{A, C}
6
A, C
{A, B, C}
9
A
{A, B, D}
8
A, B
{A, C, D}
7
A, C
{B, C, D}
6
B, C, D
{A, B, C, 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:
The given table shows the schedule for an election with five candidates (A, B, C, D, and E). The number of voters in this election was very large, so the of the preference schedule give the percent of voters instead of the number of voters. Find the winner of the election using the method of pairwise comparisons. 24 23 17 15 12 1st 2 of 3
Ranked choice voting is a system of tallying election
ballots that is used in many national and local elections
throughout the world. Instead of choosing a single candidate,
voters must rank the available candidates in the order of their
choice. For example, if three candidates are available, a
voter might choose #2, #1, and #3 as their choices, with #2 being
their first choice, #1 the second, and #3 the third.
The outcome is determined by a runoff, which follows...
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...
QUESTION 1 Assume you have a world with 65 voters which can be grouped into four different voter types based on their preferences over four options {A, B, C, and D). The table below shows how many voters are in each group and what the preferences over those options are for the voters within that group. Vater Type 1 Voter Type 2 Voter Type 3 Vater Type 4 20 Most Preferred 15 21 Least Preferred In other words, there are...
A set of 5 essays (A, B, C, D, E) were ranked by two evaluators.
Both gave the same ranking (D was first, E was second, B was third,
C was fourth, and A was fifth). In the calculation of Spearman rank
correlation, what is the sum of squares of differences of
ranks?
(i.e.
)
A. 1
B. 5
C. 25
D. 0
Using C language, write a program for the
following:
In a student representative council election, there are ten (10)
candidates. A voter is required to vote a candidate of his/her
choice only once. The vote is recorded as a number from 1 to 10.
The number of voters are unknown beforehand, so the votes are
terminated by a value of zero (0). Votes not within and not
inclusive of the numbers 1 to 10 are invalid (spoilt) votes.
A file,...
Blocking Coalitions and the Banzhaf Power
Index
The four members, A, B, C, and D, of an organization adopted the
weighted voting system {6: 4, 3, 2, 1}. The table below shows the
winning coalitions.
Winning coalition
Number of votes
Critical voters
{A, B}
7
A, B
{A, C}
6
A, C
{A, B, C}
9
A
{A, B, D}
8
A, B
{A, C, D}
7
A, C
{B, C, D}
6
B, C, D
{A, B, C, D}...
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