1.14. Consider a variation on the idea of a weighted voting system, in which one or more voters is given a negative weight. Show that such a system is not monotone. If a voter knows that the method assigns a negative weight to her vote, how will she be inclined to cast her ballot?

In a congressional district somewhere in the U.S., a new representative is being elected. The voters all have one-dimensional political views that can be neatly arrayed on a left-right spectrum. We can define the ”location” of a citizen’s political views in the following way. The citizen with the most extreme left-wing views is said to be at point 0 and the citizen with the most extreme right-wing views is said to be at point 1. If a citizen has views that are to the right of the views of the fraction x of the state’s population, that citizen’s views are said to be located at point x. There are two candidates for the congressional seat and they are forced to publicly state their own political position simultaneously on the zero-one left-right scale. 1.a  Suppose voters always vote for the candidate whose stated position is nearest to their own views and suppose each candidate cares only about getting as many votes as possible. In equilibrium, what will be the two candidates’ positions?…

Special interest groups tend to be able to infil hce legis O a. special interest groups have rational ignorance. O b. voters have an incentive to oppose the legislation. O c. the costs for voters opposing the legislation are higher than the benefits. O d. special interest groups have an incentive to educate voters.