Parametric Recoverability of Preferences

Revealed preference theory is brought to bear on the problem of recovering approximate parametric preferences from consistent and inconsistent consumer choices. We propose measures of the incompatibility between the revealed preference ranking implied by choices and the ranking induced by the considered parametric preferences. These incompatibility measures are proven to characterize well-known inconsistency indices. We advocate a recovery approach that is based on such incompatibility measures and demonstrate its applicability for misspecification measurement and model selection. Using an innovative experimental design, we empirically substantiate that the proposed revealed-preference-based method predicts choices significantly better than a standard distance-based method.

[1]  Jan Heufer,et al.  Consistent Subsets – Computationally Feasible Methods to Compute the Houtman-Maks-Index , 2014 .

[2]  Victor H. Aguiar,et al.  Slutsky Matrix Norms and Revealed Preference Tests of Consumer Behaviour , 2015 .

[3]  H. Varian.  Goodness of Fit for Revealed Preference Tests , 1994 .

[4]  R. Vohra,et al.  Afrait's Theorem and Negative Cycles , 2003 .

[5]  Goodness of Fit Measures for Revealed Preference Tests: Complexity Results and Algorithms , 2012 .

[6]  AFRIAT’S THEOREM FOR GENERAL BUDGET SETS by Françoise Forges , 2006 .

[7]  James C. Cox,et al.  On Testing the Utility Hypothesis , 1997 .

[8]  P. Samuelson.  Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory , 1974 .

[9]  Pietro Ortoleva,et al.  Stochastic Choice and Hedging , 2013 .

[10]  Yuichi Kitamura,et al.  Nonparametric Analysis of Random Utility Models , 2016, 1606.04819.

[11]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework , 1989 .

[12]  H. Varian.  The Nonparametric Approach to Demand Analysis , 1982 .

[13]  B. Bernheim,et al.  Beyond Revealed Preference: Choice Theoretic Foundations for Behavioral Welfare Economics , 2008 .

[14]  James L. Swofford,et al.  Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money , 1987 .

[15]  Yacov Tsur.  On Testing For Revealed Preference Conditions , 1989 .

[16]  Mark O. Riedl,et al.  Rationalization: A Neural Machine Translation Approach to Generating Natural Language Explanations , 2017, AIES.

[17]  Ian Crawford,et al.  How demanding is the revealed preference approach to demand , 2010 .

[18]  M. Porter,et al.  FOR LOVE OR REWARD? CHARACTERISING PREFERENCES FOR GIVING TO PARENTS IN AN EXPERIMENTAL SETTING* , 2014, Economic journal.

[19]  José Carlos Rodriguez Alcantud,et al.  Goodness-of-fit in optimizing a consumer model , 2010, Math. Comput. Model..

[20]  Shachar Kariv,et al.  Who is (More) Rational? , 2011 .

[21]  D. McFadden.  Revealed stochastic preference: a synthesis , 2005 .

[22]  Bram De Rock,et al.  The revealed preference approach to demand , 2009 .

[23]  William T. Harbaugh,et al.  Garp for kids: On the development of rational choice behavior , 2001 .

[24]  Jörg Stoye,et al.  Testing stochastic rationality and predicting stochastic demand: the case of two goods , 2015 .

[25]  Frits C. R. Spieksma,et al.  Goodness-of-Fit Measures for Revealed Preference Tests: Complexity Results and Algorithms , 2014, TEAC.

[26]  M. Dean,et al.  Measuring Rationality with the Minimum Cost of Revealed Preference Violations , 2014, Review of Economics and Statistics.

[27]  Martin Browning,et al.  Nonparametric Engel curves and revealed preference , 2003 .

[28]  Paola Manzini,et al.  CATEGORIZE THEN CHOOSE: BOUNDEDLY RATIONAL CHOICE AND WELFARE , 2012 .

[29]  John H. Miller,et al.  NOTES AND COMMENTS GIVING ACCORDING TO GARP: AN EXPERIMENTAL TEST OF THE CONSISTENCY OF PREFERENCES FOR ALTRUISM , 2002 .

[30]  M. J. Todd,et al.  Two new proofs of Afriat’s theorem , 2003 .

[31]  S. Afriat.  THE CONSTRUCTION OF UTILITY FUNCTIONS FROM EXPENDITURE DATA , 1967 .

[32]  Charles Sprenger,et al.  Estimating Time Preferences from Convex Budgets , 2010 .

[33]  Philip J. Reny,et al.  A Characterization of Rationalizable Consumer Behavior , 2014 .

[34]  SangMok Lee,et al.  The Money Pump as a Measure of Revealed Preference Violations , 2011, Journal of Political Economy.

[35]  M. Yaari,et al.  Some remarks on measures of risk aversion and on their uses , 1969 .

[36]  Two Simple Algorithms for Generating a Subset of Data Consistent With WARP and Other Binary Relations , 1996 .

[37]  Shachar Kariv,et al.  Individual Preferences for Giving , 2005 .

[38]  Satoru Fujishige,et al.  On Revealed Preference and Indivisibilities , 2012 .

[39]  Yuval Salant,et al.  Eliciting Welfare Preferences from Behavioural Data Sets , 2012 .

[40]  Françoise Forges,et al.  Afriat's Theorem for General Budget Sets , 2006, J. Econ. Theory.

[41]  Ben Greiner,et al.  Subject pool recruitment procedures: organizing experiments with ORSEE , 2015, Journal of the Economic Science Association.

[42]  Martin Browning,et al.  Best Nonparametric Bounds on Demand Responses , 2005 .

[43]  Syngjoo Choi,et al.  Estimating Ambiguity Aversion in a Portfolio Choice Experiment , 2009 .

[44]  Walter Diewert,et al.  Afriat and Revealed Preference Theory , 1973 .

[45]  James Andreoni,et al.  Giving According to GARP , 2001 .

[46]  Richard M. Karp,et al.  Reducibility Among Combinatorial Problems , 1972, 50 Years of Integer Programming.

[47]  Ariel Rubinstein,et al.  Irrational diversification in multiple decision problems , 2002 .

[48]  Larry G. Epstein.  Advances in Economic Theory: Behavior under risk: recent developments in theory and applications , 1993 .

[49]  Paola Manzini,et al.  Sequentially Rationalizable Choice , 2007 .

[50]  A Geometric Measure for the Violation of Utility Maximization , 2008 .

[51]  H. Simon,et al.  From substantive to procedural rationality , 1976 .

[52]  M. Houtman.  Nonparametric consumer and producer analysis , 1995 .

[53]  Faruk Gul.  A Theory of Disappointment Aversion , 1991 .

[54]  UZI SECAL,et al.  First Order versus Second Order Risk Aversion * , 2003 .

[55]  Stephen Warshall,et al.  A Theorem on Boolean Matrices , 1962, JACM.

[56]  Testing for Rationality with Consumption Data: Demographics and Heterogeneity , 2011 .

[57]  Hal R. Varian,et al.  Non-parametric analysis of optimizing behavior with measurement error , 1985 .

[58]  Syngjoo Choi,et al.  Consistency and heterogeneity of individual behavior under uncertainty , 2007 .

[59]  S. N. Afriat,et al.  On a system of inequalities in demand analysis , 1973 .

[60]  J. Quiggin.  A theory of anticipated utility , 1982 .

[61]  Miguel A. Ballester,et al.  A Measure of Rationality and Welfare , 2015, Journal of Political Economy.

[62]  Erkut Y. Ozbay,et al.  Revealed Attention , 2009 .

[63]  John Gross.  Testing Data for Consistency with Revealed Preference , 1995 .

[64]  Non-Parametric Bounds for Non-Convex Preferences , 2017 .

[65]  Adrian Vetta,et al.  Testing Consumer Rationality Using Perfect Graphs and Oriented Discs , 2015, WINE.