{"title":"Revealed preference domains from random choice","authors":"","doi":"10.1016/j.geb.2024.08.001","DOIUrl":null,"url":null,"abstract":"<div><p>Ordinal random utility models (RUMs) are based on the presumption that fluctuating preferences drive stochastic choices. We study a novel property of RUM subclasses called exclusiveness, satisfied whenever the supports of all RUM representations of stochastic choice data, rationalizable by a RUM over preferences within a specific domain, also belong to that domain. We demonstrate that well-known preference domains such as the single-peaked, single-dipped, triple-wise value-restricted and peak-monotone are RUM-exclusive, alongside a novel domain we term peak-pit on a line. Building on existing characterization results, we show how these preference domains can be directly revealed from stochastic choice data, without the need to compute all RUM representations.</p></div>","PeriodicalId":48291,"journal":{"name":"Games and Economic Behavior","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0899825624001039/pdfft?md5=dc3ba46b29d53fe68d8330605bf07c24&pid=1-s2.0-S0899825624001039-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Games and Economic Behavior","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0899825624001039","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Ordinal random utility models (RUMs) are based on the presumption that fluctuating preferences drive stochastic choices. We study a novel property of RUM subclasses called exclusiveness, satisfied whenever the supports of all RUM representations of stochastic choice data, rationalizable by a RUM over preferences within a specific domain, also belong to that domain. We demonstrate that well-known preference domains such as the single-peaked, single-dipped, triple-wise value-restricted and peak-monotone are RUM-exclusive, alongside a novel domain we term peak-pit on a line. Building on existing characterization results, we show how these preference domains can be directly revealed from stochastic choice data, without the need to compute all RUM representations.
序数随机效用模型(RUM)基于波动偏好驱动随机选择的假设。我们研究了 RUM 子类的一个新特性,即排他性,只要随机选择数据的所有 RUM 表示的支持也属于该领域,那么排他性就得到了满足。我们证明了众所周知的偏好域,如单峰域、单浸域、三重价值限制域和峰值单调域都是 RUM 排他性的,同时还有一个我们称之为线峰坑的新颖域。在现有表征结果的基础上,我们展示了如何从随机选择数据中直接揭示这些偏好域,而无需计算所有 RUM 表征。
期刊介绍:
Games and Economic Behavior facilitates cross-fertilization between theories and applications of game theoretic reasoning. It consistently attracts the best quality and most creative papers in interdisciplinary studies within the social, biological, and mathematical sciences. Most readers recognize it as the leading journal in game theory. Research Areas Include: • Game theory • Economics • Political science • Biology • Computer science • Mathematics • Psychology