Goals as reference points in marathon running: A novel test of reference dependence

In a large-scale field study of marathon runners, we test whether goals act as reference points in shaping the valuation of outcomes. Theories of reference-dependent preferences, such as Prospect Theory, imply that outcomes that are just below or just above a reference point are evaluated differently. Consistent with the Prospect Theory value function, we find that satisfaction as a function of relative performance (the difference between a runner’s finishing time goal and her actual finishing time) exhibits loss aversion and diminishing sensitivity in both predictions of and actual experienced satisfaction. However, in contrast to Prospect Theory, we observe that loss aversion is partially driven by a discontinuity or jump at the reference point. In addition, we find that a runner’s time goal as well as their previous marathon times simultaneously impact runner satisfaction, providing support for the impact of multiple reference points on satisfaction.

[1]  J. W. Atkinson Motivational determinants of risk-taking behavior. , 1957, Psychological review.

[2]  A. Galecki JULIAN J. FARAWAY. Extending the Linear Model with R: Generalized Linear, Mixed Effects, and Nonparametric Regression Models, 2nd edition. Boca Raton: CRC Press , 2017 .

[3]  Richard Gonzalez,et al.  Curvature of the Probability Weighting Function , 1996 .

[4]  Juanjuan Zhang,et al.  Designing Pricing Contracts for Boundedly Rational Customers: Does the Framing of the Fixed Fee Matter? , 2008, Manag. Sci..

[5]  R. Thaler,et al.  Myopic Loss Aversion and the Equity Premium Puzzle , 1993 .

[6]  E. Fehr,et al.  Do Workers Work More If Wages are High? Evidence from a Randomized Field Experiment , 2005 .

[7]  William Samuelson,et al.  Status quo bias in decision making , 1988 .

[8]  M. Rabin Risk Aversion and Expected Utility Theory: A Calibration Theorem , 2000 .

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

[10]  J. List Does market experience eliminate market anomalies , 2003 .

[11]  Devin G. Pope,et al.  Reference-Dependent Preferences: Evidence from Marathon Runners , 2014, Manag. Sci..

[12]  John A. List,et al.  Do professional traders exhibit myopic loss aversion? An experimental analysis , 2005 .

[13]  Lakshman Krishnamurthi,et al.  A comparative analysis of reference price models , 1997 .

[14]  Jeff T. Larsen,et al.  Comparing Gains and Losses , 2010, Psychological science.

[15]  Daniel Schunk,et al.  Expectations as Reference Points: Field Evidence from Professional Soccer , 2014, Manag. Sci..

[16]  Peter P. Wakker,et al.  An index of loss aversion , 2005, J. Econ. Theory.

[17]  A. Tversky,et al.  Advances in prospect theory: Cumulative representation of uncertainty , 1992 .

[18]  Sudeep Bhatia,et al.  Multiple Goals As Reference Points , 2017 .

[19]  B. Silverman,et al.  Nonparametric regression and generalized linear models , 1994 .

[20]  E. A. Locke,et al.  New Directions in Goal-Setting Theory , 2006 .

[21]  Alex B. Markle,et al.  Harnessing Optimism: How Eliciting Goals Improves Performance , 2014 .

[22]  Timothy D. Wilson,et al.  Immune neglect: a source of durability bias in affective forecasting. , 1998, Journal of personality and social psychology.

[23]  N. Barberis,et al.  What Drives the Disposition Effect? An Analysis of a Long-Standing Preference-Based Explanation , 2006 .

[24]  Henry S. Farber,et al.  Is Tomorrow Another Day? The Labor Supply of New York City Cabdrivers , 2005, Journal of Political Economy.

[25]  D. Kahneman,et al.  Timid choices and bold forecasts: a cognitive perspective on risk taking , 1993 .

[26]  Martin Weber,et al.  Reference-Point Formation and Updating , 2011, Manag. Sci..

[27]  H. Farber Reference-Dependent Preferences and Labor Supply: The Case of New York City Taxi Drivers , 2008 .

[28]  Eric J. Johnson,et al.  Individual-level loss aversion in riskless and risky choices , 2022, Theory and Decision.

[29]  Eric J. Johnson,et al.  Exploring the Nature of Loss Aversion , 2006, SSRN Electronic Journal.

[30]  B. Frey,et al.  The Economics of Happiness , 2002 .

[31]  A. Agresti An introduction to categorical data analysis , 1997 .

[32]  Maciej Wilamowski,et al.  Are We All Overconfident in the Long Run? Evidence from One Million Marathon Participants , 2017 .

[33]  O. Hart,et al.  How Do Informal Agreements and Renegotiation Shape Contractual Reference Points? , 2011, SSRN Electronic Journal.

[34]  G. V. D. Kuilen,et al.  A parameter-free analysis of the utility of money for the general population under prospect theory , 2009 .

[35]  D. Kahneman,et al.  Experimental Tests of the Endowment Effect and the Coase Theorem , 1990, Journal of Political Economy.

[36]  Keith M. Marzilli Ericson,et al.  Expectations as Endowments: Evidence on Reference-Dependent Preferences from Exchange and Valuation Experiments , 2010 .

[37]  Juanjuan Meng,et al.  research platform to scholars worldwide. New York City Cabdrivers ’ Labor Supply Revisited: Reference-Dependent Preferences with Rational-Expectations Targets for Hours and Income , 2008 .

[38]  D. Prelec The Probability Weighting Function , 1998 .

[39]  Chip Heath,et al.  Psychological Factors and Stock Option Exercise , 1998 .

[40]  D. Hirshleifer,et al.  Reference Point Adaptation: Tests in the Domain of Security Trading , 2008 .

[41]  E. Singer,et al.  The effects of response rate changes on the index of consumer sentiment. , 2000, Public opinion quarterly.

[42]  E. Ziegel Permutation, Parametric, and Bootstrap Tests of Hypotheses (3rd ed.) , 2005 .

[43]  Axel Ockenfels,et al.  Bonus Payments and Reference Point Violations , 2015, Manag. Sci..

[44]  M. Abdellaoui Parameter-Free Elicitation of Utility and Probability Weighting Functions , 2000 .

[45]  Mohammed Abdellaoui,et al.  Loss Aversion Under Prospect Theory: A Parameter-Free Measurement , 2007, Manag. Sci..

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

[47]  Terrance Odean,et al.  Are Investors Reluctant to Realize Their Losses? , 1996 .

[48]  J. March,et al.  Variable risk preferences and the focus of attention , 1992 .

[49]  Edwin A. Locke,et al.  Relationship of Goal Level to Valence and Instrumentality , 1992 .

[50]  Howard Raiffa,et al.  Games and Decisions: Introduction and Critical Survey. , 1958 .

[51]  Moshe Levy,et al.  No aspiration to win? An experimental test of the aspiration level model , 2015 .

[52]  G. Loewenstein,et al.  The Effect of Ownership History on the Valuation of Objects , 1998 .

[53]  A. Tversky,et al.  An axiomatization of cumulative prospect theory , 1993 .

[54]  Alex B. Markle,et al.  An Empirical Test of Gain-Loss Separability in Prospect Theory , 2008, Manag. Sci..

[55]  Roland Michelitsch,et al.  Experimental tests of the endowment effect , 1996 .

[56]  T. Scitovsky The Joyless Economy: An Inquiry into Human Satisfaction and Consumer Dissatisfaction , 1976 .

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

[58]  M. Rabin,et al.  Reference-Dependent Risk Attitudes , 2007 .

[59]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[60]  D. Gilbert,et al.  Focalism: a source of durability bias in affective forecasting. , 2000, Journal of personality and social psychology.

[61]  L. Wasserman,et al.  Computing Bayes Factors by Combining Simulation and Asymptotic Approximations , 1997 .

[62]  F. Strack,et al.  Reports of subjective well-being: Judgmental processes and their methodological implications. , 1999 .

[63]  G. Constantinides The Disposition to Sell Winners Too Early and Ride Losers Too Long: Theory and Evidence: Discussion , 1985 .

[64]  D. Ariely,et al.  When Do Losses Loom Larger than Gains? , 2005 .

[65]  Ordóñez The Effect of Correlation between Price and Quality on Consumer Choice. , 1998, Organizational behavior and human decision processes.

[66]  Colin Camerer Three Cheers—Psychological, Theoretical, Empirical—for Loss Aversion , 2005 .

[67]  A. Tversky,et al.  Loss Aversion in Riskless Choice: A Reference-Dependent Model , 1991 .

[68]  David Genesove,et al.  Loss Aversion and Seller Behaviour: Evidence from the Housing Market , 2001 .

[69]  R. Thaler,et al.  Labor Supply of New York City Cabdrivers: One Day at a Time , 1997 .

[70]  Alice Hsiaw,et al.  Goal-setting and self-control , 2013, J. Econ. Theory.

[71]  Lola L. Lopes,et al.  [Advances in Experimental Social Psychology] Advances in Experimental Social Psychology Volume 20 Volume 20 || Between Hope and Fear: The Psychology of Risk , 1987 .

[72]  L. Brenner,et al.  On the Psychology of Loss Aversion: Possession, Valence, and Reversals of the Endowment Effect , 2007 .

[73]  D. Kahneman,et al.  When More Pain Is Preferred to Less: Adding a Better End , 1993 .

[74]  V. Smith,et al.  Experimental tests of the endowment effect , 1996 .

[75]  P. Good Permutation, Parametric, and Bootstrap Tests of Hypotheses , 2005 .

[76]  Terence Connolly,et al.  Multiple reference points in satisfaction and fairness assessment , 2000 .

[77]  Timothy D. Wilson,et al.  Loss Aversion Is an Affective Forecasting Error , 2006, Psychological science.

[78]  N. Barberis Thirty Years of Prospect Theory in Economics: A Review and Assessment , 2012 .

[79]  D. E. Bell,et al.  Decision Making: DESCRIPTIVE, NORMATIVE, AND PRESCRIPTIVE INTERACTIONS IN DECISION MAKING , 1988 .

[80]  Zur Shapira,et al.  Patterns of Behavior of Professionally Managed and Independent Investors , 2000 .

[81]  R. Thaler,et al.  Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show , 2008 .

[82]  Richard F. Gunst,et al.  Applied Regression Analysis , 1999, Technometrics.

[83]  M. Rabin,et al.  A Model of Reference-Dependent Preferences , 2006 .

[84]  Yuedong Wang,et al.  Smoothing Splines: Methods and Applications , 2011 .

[85]  Russell S. Winer,et al.  A reference price model of brand choice for frequently purchased products. , 1986 .

[86]  Ulrich Schmidt,et al.  What is Loss Aversion? , 2005 .

[87]  Richard R. Lau,et al.  Behavioral Decision-Making , 2013 .

[88]  G. Loewenstein,et al.  A Bias in the Prediction of Tastes , 1995 .

[89]  J. Banks,et al.  Money, Well-being and Loss Aversion: Does an Income Loss Have a Greater Effect on Well-being than an Equivalent Income Gain? , 2013 .

[90]  Thomas Kida,et al.  The Effect of Multiple Reference Points and Prior Gains and Losses on Managers′ Risky Decision Making , 1995 .

[91]  R. Dhar,et al.  Consumer Choice between Hedonic and Utilitarian Goods , 2000 .

[92]  J. Bentham An Introduction to the Principles of Morals and Legislation , 1945, Princeton Readings in Political Thought.

[93]  Joaquín Gómez-Miñambres,et al.  Goal Setting and Monetary Incentives: When Large Stakes Are Not Enough , 2013, Manag. Sci..

[94]  Michael McBride,et al.  Experienced utility versus decision utility: Putting the ‘S’ in satisfaction , 2013 .

[95]  Using Goals to Motivate College Students: Theory and Evidence from Field Experiments , 2016 .

[96]  R. Scheines,et al.  Organizational Behavior and Human Decision Processes , 1977 .

[97]  Richard P. Larrick,et al.  Goals as Reference Points , 1999, Cognitive Psychology.

[98]  Jeroen van de Ven,et al.  Aspiration Level, Probability of Success and Failure, and Expected Utility , 2008 .

[99]  D. Kahneman,et al.  The Boundaries of Loss Aversion , 2005 .

[100]  Jeff T. Larsen,et al.  The Agony of Victory and Thrill of Defeat , 2004, Psychological science.

[101]  Martin Weber,et al.  Why does myopia decrease the willingness to invest? Is it myopic loss aversion or myopic loss probability aversion? , 2010 .

[102]  J. Guzmán Regression Models for Categorical Dependent Variables Using Stata , 2013 .

[103]  George Wright,et al.  Behavioral Decision Making , 2011 .

[104]  D. Kahneman Reference points, anchors, norms, and mixed feelings. , 1992 .

[105]  Jeff T. Larsen,et al.  Mixed Emotional Reactions to Disappointing Wins and Relieving Losses , 2009 .

[106]  D. E. Bell,et al.  Decision making: Descriptive, normative, and prescriptive interactions. , 1990 .

[107]  S. Siegel,et al.  Nonparametric Statistics for the Behavioral Sciences , 2022, The SAGE Encyclopedia of Research Design.

[108]  D. Kahneman,et al.  Back to Bentham? Explorations of experience utility , 1997 .

[109]  David Huffman,et al.  Reference Points and Effort Provision , 2009, SSRN Electronic Journal.

[110]  D. Kahneman,et al.  Well-being : the foundations of hedonic psychology , 1999 .

[111]  Ning Zhu,et al.  Up Close and Personal: Investor Sophistication and the Disposition Effect , 2006, Manag. Sci..

[112]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[113]  Sandra L. Schneider,et al.  Reflection in preferences under risk: Who and when may suggest why , 1986 .

[114]  Lola L. Lopes,et al.  The Role of Aspiration Level in Risky Choice: A Comparison of Cumulative Prospect Theory and SP/A Theory. , 1999, Journal of mathematical psychology.

[115]  Joseph G. Johnson,et al.  A tri-reference point theory of decision making under risk. , 2012, Journal of experimental psychology. General.

[116]  Timothy D. Wilson,et al.  "HOW HAPPY WAS I, ANYWAY?" A RETROSPECTIVE IMPACT BIAS , 2003 .

[117]  Yuval Rottenstreich,et al.  Multiple-Unit Holdings Yield Attenuated Endowment Effects , 2013, Manag. Sci..

[118]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[119]  Devin G. Pope,et al.  Is Tiger Woods Loss Averse? Persistent Bias in the Face of Experience, Competition, and High Stakes , 2009 .

[120]  Gerald S. Oettinger,et al.  An Empirical Analysis of the Daily Labor Supply of Stadium Vendors , 1999, Journal of Political Economy.

[121]  J. Payne It is Whether You Win or Lose: The Importance of the Overall Probabilities of Winning or Losing in Risky Choice , 2005 .

[122]  Patricia Tovar The effects of loss aversion on trade policy: Theory and evidence , 2009 .

[123]  Sunil J Rao,et al.  Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis , 2003 .

[124]  R. S. Hiller,et al.  Goal attainability and performance: Evidence from Boston marathon qualifying standards , 2017 .

[125]  Lawrence C. Marsh Spline Regression Models , 2001 .