Juries and committees

Question 1

Derive P( State is A given signal is A)

Question 2

When is E(ui(A, S)|si = A) > E(ui(B, S)|si = A) true?

Answer 2

πqA > (1-π)(1-qB)

Question 3

When is voting sincere?

Answer 3

E(ui(A, S)|si = A) > E(ui(B, S)|si = A) -> πqA > (1-π)(1-qB)

Question 4

When is voting informative?

Answer 4

If vi(A) = A / vi(B) = B

Question 5

If qA = qB, when is sincere voting informative and an equilibrium?

Answer 5

I and only if k = N-1/2 (majority voting)

Question 6

What can you say about sincere voting when qA does not equal qB?

Answer 6

If qA does not equal qB, then sincere voting may not be an equilibrium for any k.

Question 7

What do the findings of pivotality say about CJT?

Answer 7

CJT is good (more people better result) but people may behave strategically based on pivotality -> not good

Question 8

What Did Chwe 2010 find about the solution to the pivotality problem?

Answer 8

Solution is an anonymous process, but the findings are non-monotonic, meaning there is not real application in the real world.