A standard caricature in game theory is that voting gives politicians incentives for bland, middle-of-the-road appeal. That's not true in a system with primaries. Without primaries The usual setup is, suppose political philosophies are entirely one-dimensional, so that each voter can be identified by a real number \(x\) (say, less than zero for left-wing and more than zero for right-wing, with opinion on all issues always in perfect correlation), and let the cumulative density function of vot...