Schofield, Norman - In: Social Choice and Welfare 16 (1999) 3, pp. 445-470
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(𝒟)-2 (where v(𝒟) is the Nakamura number of the voting rule, 𝒟), then the core...</p>