Constitution

Question 1

Definition of “preference profile” for a player i.

Question 2

How the constitution transforms the preference profile?

Question 3

When a constituition f is Pareto efficient?

Question 4

When a constitution is indipendent from irrelevant alternatives (IIA)?

Question 5

Definition of constitution (aka social welfare function). Also define its terms.

Question 6

When a constitution is a dictatorship?

Question 7

Arrow’s theorem.

Question 8

What is a Condorcet winner?

Question 9

When do we have a Condorcet cycle? How the probability of having a Condorcet cycle grows? When this probability is certain?

Question 10

What is an agenda in voting theory?

Question 11

Describe and give some examples of the Plurality voting system.

Question 12

Describe and give some examples of the Two-phase Run-off voting system.

Question 13

Describe and give some examples of the Borda count voting system.

Question 14

Describe and give some examples of the Borda count with dropout voting system.

Question 15

Describe and give some examples of the Approval voting system.

Question 16

Describe and give some examples of the Instant Run-off voting system.