Week 7 Social choice

Question 1

Majority voting

Answer 1

Voters submit strict ranking
Winner is candidate which beats the others

Question 2

Transitive preferences

Answer 2

Agents choices are transitive if they an over b and b over c so she also prefers an over c

Question 3

Borda count

Answer 3

Each voter ranks all alternatives and candidate ranked 1st gets 1 point, 2nd 2 points and so on
Candidate with least amount of points wins

Question 4

Run of voting

Answer 4

2 rounds if someone wins majority 1st round no 2nd round if not the two candidates who got the highest votes vs each other and whoever has highest votes wins

Question 5

Non manipulating voting laws

Answer 5

A voting rule which does not provide voters with incentives to misrepresent their preferences is said to be non negotiable

Question 6

Desirable voting properties

Answer 6

These are the properties needed to make a vote fair

Question 7

1) Pareto efficiency

Answer 7

If all individuals rank x before y, then so should social preference created my voting rule

Question 8

2) Transitivity and completeness

Answer 8

If all individuals preferences are complete and transitive so should social preference created by the vote

Question 9

3) Independence of irrelevant alternatives (IIA)

Answer 9

Social preference between x and y should depend only on individuals preferences between x and y and not which other candidates are in the ballot

Question 10

4) Unrestricted domain

Answer 10

The mechanism must work no matter what the set of preferences and range of alternatives over which choices are to be made