Ordinal aggregation and quantiles

• 成果类型: Article
• 署名作者: Chambers, Christopher P.
• 署名单位: California Institute of Technology
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2006.12.002
• 发表日期: 2007
• 页码: 416-431
• 关键词: ordinal; quantile; Axiom; Choquet integral; probability; Rawlsian; social welfare

摘要

Consider the problem of aggregating a profile of interpersonally comparable utilities into a social utility. We require that the units of measurement of utility used for agents is the same as the units of measurement for society (ordinal covariance) and a mild Pareto condition (monotonicity). We provide several representations of such social aggregation operators: a canonical representation, a Choquet expectation representation, a minimax representation, and a quantile representation (with respect to a possibly non-additive set function on the agents). We also isolate an additional condition that gives us a quantile representation with respect to a probability measure, in both the finite and infinite agents case. (c) 2007 Elsevier Inc. All rights reserved.