Dense Families of Low-Complexity Attainable Sets of Markets.

摘要

Given the attainable set of utility outcomes for a market (with finitely many traders), its complexity is defined to be the least number of commodities needed for any market giving the same set. This notion is investigated both in the case of quasiconcave and concave utility functions. It is shown that, in either case, there is a dense collection of attainable sets having complexity at most n(n-1)/2. (Author)