(Solved): Recall the political game from class - -- 2 candidates positioning within the set S_(1)={1,2,dots,10 ...

Recall the political game from class - -- 2 candidates positioning within the set

-- voters are evenly distributed -- vote for closest candidate -- equal distance splits the vote -- candidates are attempting to maximize vote share a. We showed that position 2 strictly dominates position 1 . Find all other positions that also strictly dominate position 1. Show any work and explain your answer. (I believe using an excel spreadsheet is easier) b. What about 3 candidates? In this case,

and

. Is position 1 strictly or weakly dominated by position 2? Is position 1 strictly or weakly dominated by position 3 ? Explain. c. Suppose selecting positions 1 and 10 are deleted. Is position 2 strictly or weakly dominated by any other position,

, in the reduced game? Explain.