How to add apples and oranges: Aggregating performances of different nature

• 成果类型: Article
• 署名作者: Cho, Wonki Jo
• 署名单位: Korea University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2021.11.005
• 发表日期: 2022
• 页码: 222-244
• 关键词: Performance aggregation; Normalizer-based rules; Individual separability; MONOTONICITY; anonymity; Component independence

摘要

We study a model where evaluation consists of multiple components of different nature and (cardinal) performances in all components are aggregated into a summary index between 0 and 1. We propose what we call the normalizer-based aggregation rules and characterize them by individual separability, monotonicity, anonymity, and component independence. Each member in this family is distinguished by three parameters: (i) a profile of weights that determines the relative importance of each component; (ii) a profile of individual normalizers that converts an agent's performance in each component into a raw score (for that component) in the normalized scale of [0,1]; and (iii) a profile of group normalizers that adjusts a raw score for each component relative to all agents' performances. Given these parameters, the overall evaluation, or score, of an agent is obtained as a weighted average of his adjusted scores for all components produced by individual and group normalizers. (C) 2021 Elsevier Inc. All rights reserved.