{"title":"A consequence of complementary symmetry","authors":"Qingyun Gui , Yi C. Huang","doi":"10.1016/j.jmp.2022.102714","DOIUrl":null,"url":null,"abstract":"<div><p>In this note the property of complementary symmetry is shown to imply the following consequence: If <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> is a binary prospect to win <span><math><mi>x</mi></math></span><span> with probability </span><span><math><mi>p</mi></math></span> and otherwise receive <span><math><mi>y</mi></math></span>, then the difference between the selling and buying prices of <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> will be equal to the difference between the selling and buying prices of the complement of this prospect, <span><math><mrow><msub><mrow><mi>y</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>x</mi></mrow></math></span>.</p></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"110 ","pages":"Article 102714"},"PeriodicalIF":1.5000,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Psychology","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022249622000529","RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
In this note the property of complementary symmetry is shown to imply the following consequence: If is a binary prospect to win with probability and otherwise receive , then the difference between the selling and buying prices of will be equal to the difference between the selling and buying prices of the complement of this prospect, .
期刊介绍：
The Journal of Mathematical Psychology includes articles, monographs and reviews, notes and commentaries, and book reviews in all areas of mathematical psychology. Empirical and theoretical contributions are equally welcome.
Areas of special interest include, but are not limited to, fundamental measurement and psychological process models, such as those based upon neural network or information processing concepts. A partial listing of substantive areas covered include sensation and perception, psychophysics, learning and memory, problem solving, judgment and decision-making, and motivation.
The Journal of Mathematical Psychology is affiliated with the Society for Mathematical Psychology.
Research Areas include:
• Models for sensation and perception, learning, memory and thinking
• Fundamental measurement and scaling
• Decision making
• Neural modeling and networks
• Psychophysics and signal detection
• Neuropsychological theories
• Psycholinguistics
• Motivational dynamics
• Animal behavior
• Psychometric theory
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