This paper defines a fine C1-topology for smooth preferences on a "policy space", W, and shows that the set of convex preference profiles contains open sets in this topology. <p> It follows that if the dimension(W)\leqv(&Dscr;)-2 (where v(&Dscr;) is the Nakamura number of the voting rule, &Dscr;), then the core...</p>

This review of William Riker's work suggests that his interest in rational choice theory was based on his desire to understand profound constitutional transformation in U.S. political history. Although he argued that "anything can happen in politics," his use of the notion of heresthetic allowed...