Inductive inference with incompleteness

• 成果类型: Article
• 署名作者: Alon, Shiri; Bavly, Gilad; Gayer, Gabrielle
• 署名单位: Bar Ilan University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2022.01.020
• 发表日期: 2022
• 页码: 576-591
• 关键词: Incompleteness; Inductive inference; case-based decision theory; Likelihood comparisons

摘要

We present an axiomatic model of a process wherein likelihoods of eventualities are compared based on data. One eventuality is perceived as more likely than another whenever the data corroborates this conclusion. However, the correct relevance of records to the eventualities under consideration may be impossible to ascertain with any degree of surety due to multiple interpretations of the data, formalized by allowing the evaluator to entertain multiple weighting functions. The evaluator ranks one eventuality as more likely than another whenever its total weight over the entire database is higher, according to all relevance-weighting functions. Otherwise, the comparison is indecisive. (C) 2022 Elsevier Inc. All rights reserved.