Suppose that an odd number of individuals have singlepeak pr

Suppose that an odd number of individuals have single-peak preferences. Explain why the most-preferred alternative of the median voter will defeat every other proposal by a majority votes. Consider majority rule with six people. Because there is an even number of individuals there is a possibility of ties. We will say that Alpha is a unique majority winner if there is no feasible alternative that defeats Alpha by a majority, and for every other feasible alternative Beta there is at least one other feasible alternative that defeats Beta by some majority. Use Tables 1 and 2 to show that the rule that selects the unique majority will can be manipulated by a single individual.

Solution

2)

because the preferred alternative of the median voter will be the greater preference in the proposal of the majority voters

3)

I can gladly help you but you should post it in anew question