A) State carefully the median voter theorem and proof the theorem with an example when two candidates choose their position along a political spectrum from 1-8 (with 12.5 % voters in each position). Are there any dominated strategies?

B) 11 committee members need to elect a chair from the candidates A, B, C, and D. The preferences

of the committee members are given below. Which candidate will be selected if they use a

Borda count? Which candidate will be selected if they use the

plurality runoff? (Show your result step by step )

Number of voter members (11) Rank First Second Third Fourth