{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,16]],"date-time":"2026-09-16T17:58:00Z","timestamp":1789581480720,"version":"build-2803163510"},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2020,5,12]],"date-time":"2020-05-12T00:00:00Z","timestamp":1589241600000},"content-version":"am","delay-in-days":346,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DRL-1561214"],"award-info":[{"award-number":["DRL-1561214"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF DRL-1561214"],"award-info":[{"award-number":["NSF DRL-1561214"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Acta Psychologica"],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1016\/j.actpsy.2019.03.003","type":"journal-article","created":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T13:15:06Z","timestamp":1557753306000},"page":"39-51","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":3,"special_numbering":"C","title":["Probability range and probability distortion in a gambling task"],"prefix":"10.1016","volume":"197","author":[{"given":"Chenmu","family":"Xing","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joanna","family":"Paul","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexandra","family":"Zax","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sara","family":"Cordes","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hilary","family":"Barth","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andrea L.","family":"Patalano","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.actpsy.2019.03.003_bb0005","doi-asserted-by":"crossref","DOI":"10.1287\/mnsc.2018.3170","article-title":"Reexamining how utility and weighting functions get their shapes: A quasi-adversarial collaboration providing a new interpretation","author":"Alempaki","year":"2019","journal-title":"Management Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0010","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1111\/desc.12264","article-title":"Spatial estimation: A non-Bayesian alternative","volume":"18","author":"Barth","year":"2015","journal-title":"Developmental Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0015","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1111\/j.1467-7687.2010.00962.x","article-title":"The development of numerical estimation: Evidence against a representational shift","volume":"14","author":"Barth","year":"2011","journal-title":"Developmental Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0020","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/s11166-013-9179-3","article-title":"Discriminating among probability weighting functions using adaptive design optimization","volume":"47","author":"Cavagnaro","year":"2013","journal-title":"Journal of Risk and Uncertainty"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0025","doi-asserted-by":"crossref","first-page":"331","DOI":"10.3758\/s13423-011-0059-z","article-title":"Numerical bias in bounded and unbounded number line tasks","author":"Cohen","year":"2011","journal-title":"Psychonomic Bulletin & Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0030","doi-asserted-by":"crossref","first-page":"1640","DOI":"10.1037\/a0035901","article-title":"Children's number-line estimation shows development of measurement skills (not number representations)","volume":"50","author":"Cohen","year":"2014","journal-title":"Developmental Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0035","series-title":"Handbook of neuroeconomics","first-page":"533","article-title":"Prospect theory and the brain","author":"Fox","year":"2014"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0040","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.cognition.2011.12.002","article-title":"Cognitive models of risky choice: Parameter stability and predictive accuracy of prospect theory","volume":"123","author":"Gl\u00f6ckner","year":"2012","journal-title":"Cognition"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0045","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1037\/0033-295X.94.2.236","article-title":"Expression theory and the preference reversal phenomena","volume":"94","author":"Goldstein","year":"1987","journal-title":"Psychological Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0050","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1006\/cogp.1998.0710","article-title":"On the shape of the probability weighting function","volume":"38","author":"Gonzalez","year":"1999","journal-title":"Cognitive Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0055","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1287\/mnsc.36.7.780","article-title":"Venture theory: A model of decision weights","volume":"36","author":"Hogarth","year":"1990","journal-title":"Management Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0060","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1037\/0033-295X.107.3.500","article-title":"Bias in proportion judgments: The cyclical power model","volume":"107","author":"Hollands","year":"2000","journal-title":"Psychological Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0065","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1037\/0003-066X.39.4.341","article-title":"Choices, values, and frames","volume":"39","author":"Kahneman","year":"1984","journal-title":"American Psychologist"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0500","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0030-5073(78)90039-9","article-title":"Subjectively weighted utility: A descriptive extension of the expected utility model","volume":"21","author":"Karmarkar","year":"1978","journal-title":"Organizational Behavior & Human Performance"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0070","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1177\/2515245918810225","article-title":"Many labs 2: Investigating variation in replicability across samples and settings","volume":"1","author":"Klein","year":"2018","journal-title":"Advances in Methods and Practices in Psychological Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0075","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/S0167-2681(95)90015-2","article-title":"The influence of probability on risky choice: A parametric examination","volume":"17","author":"Lattimore","year":"1992","journal-title":"Journal of Economic Behavior and Organization"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0080","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1111\/j.1467-8721.2009.01665.x","article-title":"Behavioral and neural basis of number sense in infancy","volume":"18","author":"Libertus","year":"2009","journal-title":"Current Directions in Psychological Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0085","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.3389\/fpsyg.2013.01021","article-title":"Unbounding the mental number line: New evidence on children's spatial representation of numbers","volume":"4","author":"Link","year":"2014","journal-title":"Frontiers in Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0090","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1177\/0272989X0102100105","article-title":"General performance on a numeracy scale among highly educated samples","volume":"21","author":"Lipkus","year":"2001","journal-title":"Medical Decision Making"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0095","doi-asserted-by":"crossref","first-page":"662","DOI":"10.1037\/xge0000415","article-title":"When payoffs look like probabilities: Separating form and content in risky choice","volume":"147","author":"M\u00fcller-Trede","year":"2018","journal-title":"Journal of Experimental Psychology: General"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0100","doi-asserted-by":"crossref","first-page":"1820","DOI":"10.3758\/s13423-015-0849-9","article-title":"The role of numeracy and approximate number system acuity in predicting value and probability distortion","volume":"22","author":"Patalano","year":"2015","journal-title":"Psychological Bulletin and Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0105","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1017\/S1930297500001571","article-title":"Intuitive numbers guide decisions","volume":"3","author":"Peters","year":"2008","journal-title":"Judgment and Decision Making"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0110","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1037\/a0017327","article-title":"How numeracy influences risk comprehension and medical decision making","volume":"135","author":"Reyna","year":"2009","journal-title":"Psychological Bulletin"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0115","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1111\/1467-9280.00334","article-title":"Money, kisses, and electric shocks: On the affective psychology of risk","volume":"12","author":"Rottenstreich","year":"2001","journal-title":"Psychological Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0120","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1111\/desc.12166","article-title":"Children's cognitive representation of the mathematical number line","volume":"17","author":"Rouder","year":"2014","journal-title":"Developmental Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0125","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1177\/0956797613515485","article-title":"Assessing economic value: Symbolic-number mappings predict risky and riskless valuations","volume":"25","author":"Schley","year":"2014","journal-title":"Psychological Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0130","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.jecp.2017.04.010","article-title":"Intuitive proportion judgment in number-line estimation: Converging evidence from multiple tasks","volume":"70","author":"Slusser","year":"2017","journal-title":"Journal of Experimental Child Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0135","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1037\/a0028560","article-title":"Developmental change in numerical estimation","volume":"142","author":"Slusser","year":"2013","journal-title":"Journal of Experimental Psychology: General"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0140","first-page":"683","article-title":"Visual psychophysics of simple graphical elements","volume":"16","author":"Spence","year":"1990","journal-title":"Journal of Experimental Psychology: Human Perception and Performance"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0145","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1037\/h0046162","article-title":"On the psychophysical law","volume":"64","author":"Stevens","year":"1957","journal-title":"Psychological Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0150","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1080\/17470210902747112","article-title":"Decision by sampling: The role of the decision environment in risky choice","volume":"62","author":"Stewart","year":"2009","journal-title":"Quarterly Journal of Experimental Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0155","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cogpsych.2005.10.003","article-title":"Decision by sampling","volume":"53","author":"Stewart","year":"2006","journal-title":"Cognitive Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0160","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1287\/mnsc.2013.1853","article-title":"On the origin of utility, weighting, and discounting functions: How they get their shapes and how to change their shapes","volume":"61","author":"Stewart","year":"2015","journal-title":"Management Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0165","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/s11166-006-8289-6","article-title":"Cumulative prospect theory's functional menagerie","volume":"32","author":"Stott","year":"2006","journal-title":"Journal of Risk and Uncertainty"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0170","doi-asserted-by":"crossref","first-page":"557","DOI":"10.3758\/s13423-011-0081-1","article-title":"Adults' number-line estimation strategies: Evidence from eye movements","volume":"18","author":"Sullivan","year":"2011","journal-title":"Psychonomic Bulletin & Review"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0175","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/BF00122574","article-title":"Advances in prospect theory: Cumulative representation of uncertainty","volume":"5","author":"Tversky","year":"1992","journal-title":"Journal of Risk and Uncertainty"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0180","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1177\/0956797610396225","article-title":"How incidental values from our environment affect decisions about money, risk, and delay","volume":"22","author":"Ungemach","year":"2011","journal-title":"Psychological Science"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0185","first-page":"613","article-title":"Judgments of proportions","volume":"16","author":"Varey","year":"1990","journal-title":"Journal of Experimental Psychology: Human Perception and Performance"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0190","first-page":"767","article-title":"Distinguishing among models of contextually induced preference reversals","volume":"17","author":"Wedell","year":"1991","journal-title":"Journal of Experimental Psychology: Learning, Memory, and Cognition"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0195","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1002\/bdm.1751","article-title":"Development and testing of an abbreviated numeracy scale: A Rasch analysis approach","volume":"26","author":"Weller","year":"2013","journal-title":"Journal of Behavioral Decision Making"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0200","first-page":"198","article-title":"The dud-alternative effect in likelihood judgment","volume":"30","author":"Windschitl","year":"2004","journal-title":"Journal of Experimental Psychology: Learning, Memory, and Cognition"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0205","doi-asserted-by":"crossref","DOI":"10.3389\/fpsyg.2014.00851","article-title":"The role of ANS acuity and numeracy for the calibration and the coherence of subjective probability judgments","volume":"5","author":"Winman","year":"2014","journal-title":"Frontiers in Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0210","doi-asserted-by":"crossref","DOI":"10.1016\/j.jecp.2019.04.004","article-title":"Spontaneous partitioning and proportion estimation in children\u2019s numerical judgments","author":"Zax","year":"2019","journal-title":"Journal of Experimental Child Psychology"},{"key":"10.1016\/j.actpsy.2019.03.003_bb0215","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3389\/fnins.2012.00001","article-title":"Ubiquitous log odds: A common representation of probability and frequency distortion in perception, action, and cognition","volume":"6","author":"Zhang","year":"2012","journal-title":"Frontiers in Neuroscience"}],"container-title":["Acta Psychologica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0001691818300027?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0001691818300027?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T17:55:25Z","timestamp":1777398925000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0001691818300027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6]]},"references-count":44,"alternative-id":["S0001691818300027"],"URL":"https:\/\/doi.org\/10.1016\/j.actpsy.2019.03.003","relation":{},"ISSN":["0001-6918"],"issn-type":[{"value":"0001-6918","type":"print"}],"subject":[],"published":{"date-parts":[[2019,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Probability range and probability distortion in a gambling task","name":"articletitle","label":"Article Title"},{"value":"Acta Psychologica","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.actpsy.2019.03.003","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2019 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}]}}