Recursive Plurality, Borda Count, and Pairwise method
Fairness Criteria Violation
Power
Banzhaf Power Distribution
Shapley Shubik Power Distribution
100
What is the difference between recursive and extended?
Extended you eliminated the loser and recursive you eliminate the winner first.
100
There are 30 voters and John gets 29 1st place votes, but Josie wins the election.
Majority and Condorcet Violation
100
What is a minimum number of vote need to pass a motion?
Quota
100
Does the placing of the player in a winning coalition matter? Will it affect the Critical player?
No
100
If a veto player is place last in a sequential coalition will that player ever be a pivotal player?
Veto is always the pivotal player if he/she is in place lasted.
200
If there were four player how many round will there be in a recursive plurality?
Three round
200
There are 12 candidates and Ted wins 11 of his head to head match-ups, more than any other candidate wins. Yet Gloria wins the election.
Condorcet Violation
200
What is the number of vote control by each player?
Weight
200
If there was no Dictator, no Veto, no dummy, how many players in the grand coalition is a critical player.
There are no player in the grand coalition because there are no veto.
200
Will the first player ever be a Pivotal Player?
No
300
If there was 20 player how many player would a player have to beat in order to be a Condorcet candidate?
19
300
Suppose that an election is held by Pairwise Comparisons and Tina wins. Then it is discovered that one of the candidates’ relatives participated in the ballot-counting, mandating a new election even though the accuracy of the count is not in question. In the new election (same voters, same candidates, but this time by Plurality), the only voters who change their preference ballots change them from (listed from first through fourth) “Lena, Gina, Tina, Serena” to “Tina, Lena, Gina, Serena”. This causes Gina to win in the new election. Which, if any, of the fairness criteria for elections does this result definitely violate ?
None
300
What is the Dictator? [50: 20, 11, 7, 5]
Quota is too big.
300
How many Critical player can there be in a winning coalition?
More than one
300
How many Pivotal Player are in a Sequential Coalition?
1
400
How do you resolve a three way tie that is not resolvable with head to head?
Total Vote Differential.
400
An election is held and Tina wins. Then a new election is ordered(same voting method, same voters, same candidates) and only 6 voters change their votes—from (listed in order from 1st to 4th) “Lena, Tina, Tom, Serena” to “Tina, Tom, Lena, Serena”. This results in Tom winning the election.
None
400
What is the the veto? [50: 25, 15, 10]
P1, P2, P3
400
What is e?
e= Sum of weight - Quotation
400
How many Sequential Coalitions are there if there was 5 players?
5*4*3*2*1= 120
500
How many points do third place get in Recursive borda Count get if there was five player?
3
500
In an election, Camey wins, but soon after, Josh drops out. Then the same ballots are recounted by the same voting method, but with Josh crossed off. This results in Dan winning the recount.
Independent of Irrelevant Alternative
500
Which player is the Dictator? [25:25, 20, 15, 10]
The Quota is too small.
500
When is Banzhaf a better measure of power than Shapley-Shubik?
when the players are total strangers and/or highly independent-minded, and come and go as they please.
500
When is Shapley-Shubik a better measure of power than Banzhaf?
The players are well-acquainted with each other, and reluctant to leave established coalitions.
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