Ambiguity Attitudes in a Large Representative Sample

We introduce a tractable method for measuring ambiguity attitudes, which requires only three observations and five minutes per subject, and we apply this method in a large representative sample. In addition to ambiguity aversion, we confirm a-insensitivity, a new ambiguity component recently found in laboratory studies. A-insensitivity means that people insufficiently discriminate between different levels of likelihood, often treating all likelihoods as fifty-fifty, which results in the overweighting of extreme events. Our ambiguity measurements can predict real economic decisions of the subjects; specifically a-insensitivity has a negative relation with stock market participation and private business ownership. Surprisingly, ambiguity aversion is not significantly related to stock market participation, except under high ambiguity perception. Reference dependence can explain our findings, and provides a promising direction for future research on ambiguity. JEL Classification: D81, G11, D14, C83

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

[2]  Stefan T. Trautmann,et al.  Higher Order Risk Attitudes, Demographics, and Financial Decisions , 2011 .

[3]  On the composition of risk preference and belief. , 2004, Psychological review.

[4]  Miles S. Kimball,et al.  Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey , 1995 .

[5]  Mohammed Abdellaoui,et al.  Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty , 2003, Manag. Sci..

[6]  Vicky Henderson,et al.  Prospect Theory, Liquidation, and the Disposition Effect , 2012, Manag. Sci..

[7]  Jun Pan The Jump-Risk Premia Implicit in Options : Evidence from an Integrated Time-Series Study , 2001 .

[8]  A. Falk,et al.  Individual Risk Attitudes: Measurement, Determinants and Behavioral Consequences , 2009 .

[9]  Richard Gonzalez,et al.  Common Consequence Conditions in Decision Making under Risk , 1998 .

[10]  Eric Ghysels,et al.  The impact of risk and uncertainty on expected returns. , 2009 .

[11]  R. C. Merton,et al.  Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case , 1969 .

[12]  Hela Maafi,et al.  Preference Reversals Under Ambiguity , 2011, Manag. Sci..

[13]  SteffenAndersen Participation Constraints in the Stock Market : Evidence from Unexpected Inheritance Due to Sudden Death , 2011 .

[14]  Craig R. Fox,et al.  Ambiguity Aversion, Comparative Ignorance, and Decision Context , 2002 .

[15]  Craig R. Fox,et al.  Ambiguity Aversion and Comparative Ignorance , 1995 .

[16]  A. Tversky,et al.  Risk Attitudes and Decision Weights , 1995 .

[17]  A. van Soest,et al.  Household Portfolios in the Netherlands , 2000 .

[18]  D. Kahneman Maps of Bounded Rationality: Psychology for Behavioral Economics , 2003 .

[19]  A. Tversky,et al.  Preference and belief: Ambiguity and competence in choice under uncertainty , 1991 .

[20]  A. Baillon,et al.  Testing Ambiguity Models through the Measurement of Probabilities for Gains and Losses , 2015 .

[21]  V. Smith Experimental Economics : Induced Value Theory , 2007 .

[22]  Maureen O'Hara,et al.  Ambiguity and Nonparticipation: The Role of Regulation , 2009 .

[23]  Rakesh K. Sarin,et al.  Modeling Ambiguity in Decisions Under Uncertainty , 1988 .

[24]  Colin Camerer,et al.  The Effects of Financial Incentives in Experiments: A Review and Capital-Labor-Production Framework , 1999 .

[25]  S. Werlang,et al.  Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio , 1992 .

[26]  Yoram Halevy Ellsberg Revisited: An Experimental Study , 2005 .

[27]  Estimating ambiguity preferences and perceptions in multiple prior models: Evidence from the field , 2015, Journal of risk and uncertainty.

[28]  Martin Weber,et al.  What Determines the Shape of the Probability Weighting Function Under Uncertainty? , 1998, Manag. Sci..

[29]  Weiqi Zhang,et al.  Forward-Looking Market Risk Premium , 2013, Manag. Sci..

[30]  Alex B. Markle,et al.  Goals as reference points in marathon running: A novel test of reference dependence , 2015 .

[31]  R. Hogarth,et al.  Ambiguity and Uncertainty in Probabilistic Inference. , 1985 .

[32]  Jacob S. Sagi,et al.  Event Exchangeability: Probabilistic Sophistication without Continuity or Monotonicity , 2006 .

[33]  Glenn W. Harrison,et al.  An experimental test for risk aversion , 1986 .

[34]  R. Barro Rare Disasters and Asset Markets in the Twentieth Century , 2006 .

[35]  Haluk Ergin,et al.  A theory of subjective compound lotteries , 2009, J. Econ. Theory.

[36]  A. Baillon,et al.  Learning under ambiguity: An experiment using initial public offerings on a stock market , 2013 .

[37]  Higher Order Risk Attitudes, Demographics, and Financial Decisions , 2011 .

[38]  Ralph Hertwig,et al.  Experimental practices in economics: A challenge for psychologists? , 2000 .

[39]  U. Weitzel,et al.  Reference dependent ambiguity aversion: theory and experiment , 2011 .

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

[41]  R. Albuquerque,et al.  Skewness in Stock Returns: Reconciling the Evidence on Firm versus Aggregate Returns , 2010 .

[42]  J. Jaffray Linear utility theory for belief functions , 1989 .

[43]  J. Tallon,et al.  Decision Theory Under Ambiguity , 2012 .

[44]  Richard J. Zeckhauser,et al.  Behavioral versus Rational Economics: What You See Is What You Conquer: Comments , 1986 .

[45]  A. Lusardi,et al.  Financial Literacy and Stock Market Participation , 2007 .

[46]  Ambiguity Attitudes in a Large Representative Sample , 2015 .

[47]  Soo Hong Chew,et al.  Small worlds: Modeling attitudes toward sources of uncertainty , 2008, J. Econ. Theory.

[48]  S. Mullainathan,et al.  Do People Mean What They Say? Implications for Subjective Survey Data , 2001 .

[49]  D. Ellsberg Decision, probability, and utility: Risk, ambiguity, and the Savage axioms , 1961 .

[50]  An experimental test of prospect theory for predicting choice under ambiguity , 2014 .

[51]  I. Drechsler,et al.  Uncertainty, Time-Varying Fear, and Asset Prices , 2013 .

[52]  Xun Yu Zhou,et al.  Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment , 2010, Manag. Sci..

[53]  P. Samuelson LIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING , 1969 .

[54]  Paola Sapienza,et al.  Trusting the Stock Market , 2005 .

[55]  Paolo Ghirardato,et al.  Ambiguity and Asset Prices : An Experimental Perspective , 2005 .

[56]  A. Tversky,et al.  A Belief-Based Account of Decision Under Uncertainty , 1998 .

[57]  D. Schmeidler,et al.  A More Robust Definition of Subjective Probability , 1992 .

[58]  Roy Kouwenberg,et al.  Ambiguity Aversion and Household Portfolio Choice Puzzles: Empirical Evidence , 2015, Journal of financial economics.

[59]  George Wu,et al.  Competence effects for choices involving gains and losses , 2010 .

[60]  I. Levin,et al.  Common and distinct factors in decision making under ambiguity and risk: A psychometric study of individual differences , 2007 .

[61]  G. Kézdi,et al.  Stock market expectations and portfolio choice of American households. Work in progress. , 2007 .

[62]  M. Marinacci,et al.  A Smooth Model of Decision Making Under Ambiguity , 2003 .

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

[64]  I. Gilboa Expected utility with purely subjective non-additive probabilities , 1987 .

[65]  Briony D. Pulford,et al.  Is Luck on My Side? Optimism, Pessimism, and Ambiguity Aversion , 2009, Quarterly journal of experimental psychology.

[66]  J. Heaton,et al.  MARKET FRICTIONS, SAVINGS BEHAVIOR, AND PORTFOLIO CHOICE , 1997, Macroeconomic Dynamics.

[67]  Intertemporal stability of ambiguity preferences , 2013 .

[68]  A. van Soest,et al.  Heterogeneity in Risky Choice Behaviour in a Broad Population , 2009, SSRN Electronic Journal.

[69]  Richard Gonzalez,et al.  On the Shape of the Probability Weighting Function , 1999, Cognitive Psychology.

[70]  Matthias Sutter,et al.  Working Papers in Economics and Statistics Group polarization in the team dictator game reconsidered , 2007 .

[71]  Jun Pan,et al.  An Equilibrium Model of Rare-Event Premia and Its Implication for Option Smirks , 2005 .

[72]  D. Ellsberg,et al.  Risk, ambiguity, and decision , 2001 .

[73]  H. Henry Cao,et al.  Model Uncertainty, Limited Market Participation and Asset Prices , 2003 .

[74]  R. Hogarth,et al.  Venture Theory: A Model of Decision Weights , 1990 .

[75]  Mohammed Abdellaoui,et al.  The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation , 2011 .

[76]  Thierry Post,et al.  Loss Aversion with a State-Dependent Reference Point , 2011, Manag. Sci..

[77]  A. Baillon,et al.  Aggregating imprecise or conflicting beliefs: An experimental investigation using modern ambiguity theories , 2012 .

[78]  Jun Pan The jump-risk premia implicit in options: evidence from an integrated time-series study , 2001 .

[79]  Prospect Theory and Asset Prices , 1999 .

[80]  Vernon L. Smith,et al.  Measuring Nonmonetary Utilities in Uncertain Choices: The Ellsberg Urn , 1969 .

[81]  Manel Baucells,et al.  Stability of risk preferences and the reflection effect of prospect theory , 2010 .

[82]  Richard J. Zeckhauser,et al.  Comments: Behavioral Versus Rational Economics: What You See is What You Conquer , 1986 .

[83]  Ning Du,et al.  The Effects of Imprecise Probabilities and Outcomes in Evaluating Investment Options , 2005, Manag. Sci..

[84]  P. Wakker Prospect Theory: For Risk and Ambiguity , 2010 .

[85]  Edi Karni,et al.  Ambiguity attitudes and social interactions: An experimental investigation , 2013 .

[86]  Skewness in Stock Returns: Reconciling the Evidence on Firm Versus Aggregate Returns , 2011 .

[87]  David W Harless,et al.  The predictive utility of generalized expected utility theories , 1994 .

[88]  Richard Gonzalez,et al.  Nonlinear Decision Weights in Choice Under Uncertainty , 1999 .

[89]  J. Frank Yates,et al.  Characterization of Ambiguity in Decision Making. , 1976 .

[90]  I. Gilboa,et al.  Maxmin Expected Utility with Non-Unique Prior , 1989 .

[91]  David Schmeidleis SUBJECTIVE PROBABILITY AND EXPECTED UTILITY WITHOUT ADDITIVITY , 1989 .

[92]  William Fellner,et al.  The Slanting of Subjective Probabilities — Agreement on Some Essentials , 1965 .

[93]  A. Tversky,et al.  Weighing Risk and Uncertainty , 1995 .

[94]  Robert F. Nau,et al.  Uncertainty Aversion with Second-Order Utilities and Probabilities , 2006, Manag. Sci..

[95]  Stéphane Robin,et al.  Revealing consumers' willingness-to-pay: A comparison of the BDM mechanism and the Vickrey auction , 2004 .