{"title":"直觉和指数增长:参数化和复杂性的偏差和作用。","authors":"Martin Schonger, Daniela Sele","doi":"10.1007/s00591-021-00306-7","DOIUrl":null,"url":null,"abstract":"<p><p>Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where treatments differ in the parameterization of growth: Exponential growth is communicated to one group in terms of growth rates, and in terms of doubling times to the other. Exponential growth bias is much smaller when doubling times are employed. Considering that in many applications, individuals face a choice between different growth rates, rather than between exponential growth and zero growth, we ask a question where growth is reduced from high to low. Subjects vastly underestimate the effect of this reduction, though less so in the parameterization using doubling times. The answers to this question are more severely biased than one would expect from the answers to the exponential growth questions. These biases emerge despite the sample being highly educated and exhibiting awareness of exponential growth bias. Implications for teaching, the usefulness of heuristics, and policy are discussed.</p>","PeriodicalId":40032,"journal":{"name":"Mathematische Semesterberichte","volume":"68 2","pages":"221-235"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00591-021-00306-7","citationCount":"4","resultStr":"{\"title\":\"Intuition and exponential growth: bias and the roles of parameterization and complexity.\",\"authors\":\"Martin Schonger, Daniela Sele\",\"doi\":\"10.1007/s00591-021-00306-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where treatments differ in the parameterization of growth: Exponential growth is communicated to one group in terms of growth rates, and in terms of doubling times to the other. Exponential growth bias is much smaller when doubling times are employed. Considering that in many applications, individuals face a choice between different growth rates, rather than between exponential growth and zero growth, we ask a question where growth is reduced from high to low. Subjects vastly underestimate the effect of this reduction, though less so in the parameterization using doubling times. The answers to this question are more severely biased than one would expect from the answers to the exponential growth questions. These biases emerge despite the sample being highly educated and exhibiting awareness of exponential growth bias. Implications for teaching, the usefulness of heuristics, and policy are discussed.</p>\",\"PeriodicalId\":40032,\"journal\":{\"name\":\"Mathematische Semesterberichte\",\"volume\":\"68 2\",\"pages\":\"221-235\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s00591-021-00306-7\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematische Semesterberichte\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00591-021-00306-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2021/8/25 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Semesterberichte","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00591-021-00306-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2021/8/25 0:00:00","PubModel":"Epub","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Intuition and exponential growth: bias and the roles of parameterization and complexity.
Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where treatments differ in the parameterization of growth: Exponential growth is communicated to one group in terms of growth rates, and in terms of doubling times to the other. Exponential growth bias is much smaller when doubling times are employed. Considering that in many applications, individuals face a choice between different growth rates, rather than between exponential growth and zero growth, we ask a question where growth is reduced from high to low. Subjects vastly underestimate the effect of this reduction, though less so in the parameterization using doubling times. The answers to this question are more severely biased than one would expect from the answers to the exponential growth questions. These biases emerge despite the sample being highly educated and exhibiting awareness of exponential growth bias. Implications for teaching, the usefulness of heuristics, and policy are discussed.
期刊介绍:
Die „Mathematischen Semesterberichte“ wurden im Jahre 1932 durch Heinrich Behnke und Otto Toeplitz gegründet. Sie enthalten einerseits Berichte aus der Forschung über interessante neue Entwicklungen in der Mathematik und ihren Anwendungen; andererseits behandeln sie grundlegende fachdidaktische Fragen des Lehrens und Lernens von Mathematik an Schule und Hochschule. Diese beiden Ziele verbinden sich in der Auseinandersetzung mit Problemen und Querverbindungen in der Mathematik sowie in Beiträgen zur historischen Entwicklung und zu den Grundlagen der Mathematik.
Auf einen klaren, motivierenden Stil der Beiträge wird besonderer Wert gelegt.
Die Zeitschrift umfasst die Rubriken "Mathematische Bildergalerie", "Mathematik in Forschung und Anwendung", "Mathematik in der Lehre", "Dokumente", sowie "Philosophische und Historische Sicht". Die zusätzliche Rubrik "Buchbesprechungen" präsentiert und kritisiert neuerschienene Bücher von allgemeinem Interesse.
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The "Mathematische Semesterberichte" were founded in 1932 by Heinrich Behnke and Otto Toeplitz. On the one hand, they contain reports from research about interesting new developments in mathematics and its applications; on the other hand, they deal with fundamental questions of teaching and learning mathematics at school and at institutions of higher education. These two goals are combined in the examination of problems and cross-connections in mathematics as well as in contributions on the historical development and foundations of mathematics.
Special emphasis is placed on a clear, motivating style of the contributions.
The journal includes the sections "Mathematical Imagery," "Mathematical Research and Applications," "Teaching Mathematics," "Documents", and "Philosophical and Historical Perspectives." The additional section "Book Review" presents and critiques recently published books of general interest.