{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:25:19Z","timestamp":1760235919674,"version":"build-2065373602"},"reference-count":80,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,10,14]],"date-time":"2021-10-14T00:00:00Z","timestamp":1634169600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the National Natural Science Foundation of China","award":["71761167001"],"award-info":[{"award-number":["71761167001"]}]},{"name":"the Major Program of the National Social Science Foundation of China","award":["19ZDA358"],"award-info":[{"award-number":["19ZDA358"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>An asymmetrical property of the probability weighting function, namely, subproportionality, was derived from observations. Subproportionality can provide a reasonable explanation for accommodating the Allais paradox and, therefore, deserves replication for its high impact. The present study aimed to explore the mechanism of subproportionality by comparing the two completely opposite decision mechanisms: prospect theory and equate-to-differentiate theory. Results revealed that the underlying mechanism supports the prediction of equate-to-differentiate theory but not prospect theory in the diagnostic stimuli condition. Knowledge regarding which intra-dimensional difference between Options A and B is greater, not knowledge regarding which option\u2019s overall prospect value is greater, indeed predicts option preference. Our findings may deepen current understanding on the mechanisms behind the simple risky choice with a single-non-zero outcome. Additionally, these findings will hopefully encourage subsequent researchers to take a fresh look at the Allais paradox.<\/jats:p>","DOI":"10.3390\/sym13101928","type":"journal-article","created":{"date-parts":[[2021,10,14]],"date-time":"2021-10-14T23:02:16Z","timestamp":1634252536000},"page":"1928","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Asymmetrical Property of the Subproportionality of Weighting Function in Prospect Theory: Is It Real and How Can It Be Achieved?"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4952-3307","authenticated-orcid":false,"given":"Yuan-Na","family":"Huang","sequence":"first","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Si-Chu","family":"Shen","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, Fujian Normal University, Fujian 350117, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shu-Wen","family":"Yang","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi","family":"Kuang","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3509-6618","authenticated-orcid":false,"given":"Yun-Xiao","family":"Li","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4402-1674","authenticated-orcid":false,"given":"Shu","family":"Li","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Behavioral Science, Institute of Psychology, Beijing 100101, China"},{"name":"Department of Psychology, University of Chinese Academy of Sciences, Beijing 100049, China"},{"name":"Department of Psychology and Behavioral Sciences, Zhejiang University, Hangzhou 310058, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1914185","article-title":"Prospect Theory: An Analysis of Decision under Risk","volume":"47","author":"Kahneman","year":"1979","journal-title":"Econometrica"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1257\/jep.27.1.173","article-title":"Thirty Years of Prospect Theory in Economics: A Review and Assessment","volume":"27","author":"Barberis","year":"2013","journal-title":"J. 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