Existence of equilibrium with nonconvexities and finitely many agents
针对公共财政、选址理论等模型中偏好或生产集的非凸性，提出用大量商品而非大量代理人的凸化效应来替代凸性假设，并利用Zame存在定理和Lyapunov定理证明均衡存在性与第一福利定理。
Many economic models in the fields of public finance, location theory, and choice under uncertainty involve characteristic nonconvexities in either preferences or production sets for some types of commodities. One useful way to attack such nonconvexities is to employ the convexifying effect of large numbers of agents on demand for a finite number of commodities. The alternative proposed here relies on the convexifying effect of large numbers of commodities rather than agents. Sufficient substitutability and a large number of commodities can be used to replace some convexity assumptions. Existence of an equilibrium and the first welfare theorem are proved using Zame's existence theorem and Lyapunov's theorem as the key tools.