Assessing “Economic Value”

Diminishing marginal utility (DMU) is a basic tenet of economic and psychological models of judgment and choice, but its determinants are little understood. In the research reported here, we tested whether insensitivities in valuations of dollar amounts (e.g., $40, $100) may be due to inexact mappings of symbolic numbers (i.e., “40,” “100”) onto mental magnitudes. In three studies, we demonstrated that inexact mappings appear to guide valuation and mediate numeracy’s relations with riskless valuations (Studies 1 and 1a) and risky choices (Study 2). The results highlight the fundamental notion that individuals’ valuations of $100 depend critically on how individuals perceive and map the symbolic quantity “100.” This notion has implications for conceptualizations of value, risk aversion, intertemporal choice, and dual-process theories of decision making. Normative implications are also briefly discussed.

[1]  Daniel Ansari,et al.  Nonsymbolic numerical magnitude comparison: reliability and validity of different task variants and outcome measures, and their relationship to arithmetic achievement in adults. , 2012, Acta psychologica.

[2]  Edward T. Cokely,et al.  Cognitive abilities and superior decision making under risk: A protocol analysis and process model evaluation , 2009, Judgment and Decision Making.

[3]  Elizabeth M. Brannon,et al.  Malleability of the approximate number system: effects of feedback and training , 2012, Front. Hum. Neurosci..

[4]  Brian Butterworth,et al.  Foundational numerical capacities and the origins of dyscalculia , 2010, Trends in Cognitive Sciences.

[5]  C. Gallistel,et al.  Non-verbal numerical cognition: from reals to integers , 2000, Trends in Cognitive Sciences.

[6]  C. Gilmore,et al.  Children's mapping between symbolic and nonsymbolic representations of number. , 2009, Journal of experimental child psychology.

[7]  A. Tversky,et al.  Prospect theory: an analysis of decision under risk — Source link , 2007 .

[8]  Pierre Pica,et al.  Education Enhances the Acuity of the Nonverbal Approximate Number System , 2013, Psychological science.

[9]  Daniel Västfjäll,et al.  Intuitive Numbers Guide Decisions , 2008, Judgment and Decision Making.

[10]  Timothy D. Wilson,et al.  Affective Forecasting , 2005 .

[11]  Daniel Ansari,et al.  Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. , 2009, Journal of experimental child psychology.

[12]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[13]  Melissa E. Libertus,et al.  Comment on "Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures" , 2009, Science.

[14]  D. Bernoulli Exposition of a New Theory on the Measurement of Risk , 1954 .

[15]  Eric Johnson,et al.  Dynamic Experiments for Estimating Preferences: An Adaptive Method of Eliciting Time and Risk Parameters , 2012, Manag. Sci..

[16]  E. Peters Beyond Comprehension , 2012 .

[17]  V. Reyna,et al.  How numeracy influences risk comprehension and medical decision making. , 2009, Psychological bulletin.

[18]  Charles A. Holt,et al.  Risk Aversion and Incentive Effects , 2002 .

[19]  Justin Halberda,et al.  Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). , 2011, Child development.

[20]  Stanislas Dehaene,et al.  Calibrating the mental number line , 2008, Cognition.

[21]  C. Gallistel,et al.  Nonverbal Counting in Humans: The Psychophysics of Number Representation , 1999 .

[22]  Hilary C Barth,et al.  The development of numerical estimation: evidence against a representational shift. , 2011, Developmental science.

[23]  Percival G. Matthews,et al.  Knowledge on the line: Manipulating beliefs about the magnitudes of symbolic numbers affects the linearity of line estimation tasks , 2013, Psychonomic bulletin & review.

[24]  C. K. Mertz,et al.  PSYCHOLOGICAL SCIENCE Research Article Numeracy and Decision Making , 2022 .

[25]  David J. Freedman,et al.  Representation of the Quantity of Visual Items in the Primate Prefrontal Cortex , 2002, Science.

[26]  Robert S. Siegler,et al.  Representational change and children’s numerical estimation , 2007, Cognitive Psychology.

[27]  Selin A. Malkoc,et al.  Discounting Time and Time Discounting: Subjective Time Perception and Intertemporal Preferences , 2008 .

[28]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[29]  Ellen Peters,et al.  Development and Testing of an Abbreviated Numeracy Scale: A Rasch Analysis Approach , 2012, Journal of behavioral decision making.

[30]  Justin Halberda,et al.  Individual differences in non-verbal number acuity correlate with maths achievement , 2008, Nature.

[31]  Silke M. Göbel,et al.  Impact of High Mathematics Education on the Number Sense , 2012, PloS one.

[32]  R. Siegler,et al.  The Development of Numerical Estimation , 2003, Psychological science.

[33]  Julie L. Booth,et al.  Numerical magnitude representations influence arithmetic learning. , 2008, Child development.

[34]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[35]  Christopher K. Hsee,et al.  Distinction Bias: Misprediction and Mischoice Due to Joint Evaluation , 2004, Journal of personality and social psychology.

[36]  Wim Fias,et al.  Representation of Number in Animals and Humans: A Neural Model , 2004, Journal of Cognitive Neuroscience.

[37]  S. Frederick Journal of Economic Perspectives—Volume 19, Number 4—Fall 2005—Pages 25–42 Cognitive Reflection and Decision Making , 2022 .

[38]  Elizabeth M Brannon,et al.  Training the Approximate Number System Improves Math Proficiency , 2013, Psychological science.

[39]  J. Parkman,et al.  Temporal aspects of digit and letter inequality judgments. , 1971, Journal of experimental psychology.

[40]  S. Dehaene Varieties of numerical abilities , 1992, Cognition.

[41]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[42]  Daniel Ansari,et al.  Domain-specific and domain-general changes in children's development of number comparison. , 2008, Developmental science.

[43]  Lance J Rips,et al.  How many is a zillion? Sources of number distortion. , 2013, Journal of experimental psychology. Learning, memory, and cognition.

[44]  E. Rowland Theory of Games and Economic Behavior , 1946, Nature.

[45]  E. Spelke,et al.  Language and Conceptual Development series Core systems of number , 2004 .