On the topological social choice model

• 成果类型: Article
• 署名作者: Weinberger, S
• 署名单位: University of Chicago
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/S0022-0531(03)00257-6
• 发表日期: 2004
• 页码: 377-384
• 关键词: Social choice; topological methods; Pareto optimality

摘要

The main goal of this paper is to show that if a finite connected CW complex admits a continuous, symmetric, and unanimous choice function for some number n > 1 of agents, then the choice space is contractible. On the other hand, if one removes the finiteness, we give a complete characterization of the possible spaces in particular, noncontractible spaces are indeed possible. These results extend earlier well-known results of Chichilnisky and Heal. (C) 2003 Elsevier Inc. All rights reserved.