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Recovering Preferences From Finite Data

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  • Christopher P. Chambers
  • Federico Echenique
  • Nicolas S. Lambert

Abstract

We study preferences estimated from finite choice experiments and provide sufficient conditions for convergence to a unique underlying “true” preference. Our conditions are weak and, therefore, valid in a wide range of economic environments. We develop applications to expected utility theory, choice over consumption bundles, and menu choice. Our framework unifies the revealed preference tradition with models that allow for errors.

Suggested Citation

  • Christopher P. Chambers & Federico Echenique & Nicolas S. Lambert, 2021. "Recovering Preferences From Finite Data," Econometrica, Econometric Society, vol. 89(4), pages 1633-1664, July.
  • Handle: RePEc:wly:emetrp:v:89:y:2021:i:4:p:1633-1664
    DOI: 10.3982/ECTA17845
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    1. Andrés Carvajal & Rahul Deb & James Fenske & John K.‐H. Quah, 2013. "Revealed Preference Tests of the Cournot Model," Econometrica, Econometric Society, vol. 81(6), pages 2351-2379, November.
    2. Syngjoo Choi & Shachar Kariv & Wieland M?ller & Dan Silverman, 2014. "Who Is (More) Rational?," American Economic Review, American Economic Association, vol. 104(6), pages 1518-1550, June.
    3. HILDENBRAND, Werner, 1970. "On economies with many agents," LIDAM Reprints CORE 61, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Andrews, Donald W.K. & Guggenberger, Patrik, 2009. "Validity Of Subsampling And “Plug-In Asymptotic” Inference For Parameters Defined By Moment Inequalities," Econometric Theory, Cambridge University Press, vol. 25(3), pages 669-709, June.
    5. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    6. Eddie Dekel & Barton L Lipman & Aldo Rustichini & Todd Sarver, 2007. "Representing Preferences with a Unique Subjective State Space: A Corrigendum -super-1," Econometrica, Econometric Society, vol. 75(2), pages 591-600, March.
    7. Polemarchakis, Herakles & Selden, Larry & Song, Xinxi, 2017. "The identification of attitudes towards ambiguity and risk from asset demand," CRETA Online Discussion Paper Series 28, Centre for Research in Economic Theory and its Applications CRETA.
    8. Grant, S. & Kline, J. & Meneghel, I. & Quiggin, J. & Tourky, R., 2016. "A theory of robust experiments for choice under uncertainty," Journal of Economic Theory, Elsevier, vol. 165(C), pages 124-151.
    9. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    10. Philip J. Reny, 2015. "A Characterization of Rationalizable Consumer Behavior," Econometrica, Econometric Society, vol. 83, pages 175-192, January.
    11. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    12. Green, Richard C. & Srivastava, Sanjay, 1986. "Expected utility maximization and demand behavior," Journal of Economic Theory, Elsevier, vol. 38(2), pages 313-323, April.
    13. Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), 2006. "Rationality and Equilibrium," Studies in Economic Theory, Springer, number 978-3-540-29578-5, September.
    14. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    15. Kubler, Felix & Malhotra, Raghav & Polemarchakis, Herakles, 2020. "Identification of preferences, demand and equilibrium with finite data," The Warwick Economics Research Paper Series (TWERPS) 1290, University of Warwick, Department of Economics.
    16. Hans-Martin von Gaudecker & Arthur van Soest & Erik Wengstrom, 2011. "Heterogeneity in Risky Choice Behavior in a Broad Population," American Economic Review, American Economic Association, vol. 101(2), pages 664-694, April.
    17. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    18. Leandro S. Carvalho & Stephan Meier & Stephanie W. Wang, 2016. "Poverty and Economic Decision-Making: Evidence from Changes in Financial Resources at Payday," American Economic Review, American Economic Association, vol. 106(2), pages 260-284, February.
    19. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.
    20. Rosa L. Matzkin, 2006. "Identification of consumers’ preferences when their choices are unobservable," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 195-215, Springer.
    21. Hans-Martin von Gaudecker & Arthur van Soest & Erik Wengstrom, 2011. "Heterogeneity in Risky Choice Behavior in a Broad Population," American Economic Review, American Economic Association, vol. 101(2), pages 664-694, April.
    22. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    23. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
    24. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871532, September.
    25. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    26. Basu, Pathikrit & Echenique, Federico, 2020. "On the falsifiability and learnability of decision theories," Theoretical Economics, Econometric Society, vol. 15(4), November.
    27. Jonathan Chapman & Mark Dean & Pietro Ortoleva & Erik Snowberg & Colin Camerer, 2018. "Econographics," NBER Working Papers 24931, National Bureau of Economic Research, Inc.
    28. Jean-Paul Chavas & Thomas L. Cox, 1993. "On Generalized Revealed Preference Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 493-506.
    29. Hildenbrand, Werner, 1970. "On economies with many agents," Journal of Economic Theory, Elsevier, vol. 2(2), pages 161-188, June.
    30. Gorno, Leandro, 2019. "Revealed preference and identification," Journal of Economic Theory, Elsevier, vol. 183(C), pages 698-739.
    31. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 176-198.
    32. Border Kim C. & Segal Uzi, 1994. "Dynamic Consistency Implies Approximately Expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 63(2), pages 170-188, August.
    33. Blundell,Richard & Newey,Whitney & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871549, September.
    34. Victor Chernozhukov & Han Hong & Elie Tamer, 2007. "Estimation and Confidence Regions for Parameter Sets in Econometric Models," Econometrica, Econometric Society, vol. 75(5), pages 1243-1284, September.
    35. Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, September.
    36. Grodal, Birgit, 1974. "A note on the space of preference relations," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 279-294, December.
    37. Blundell,Richard & Newey,Whitney & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692106, September.
    38. Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-1786, November.
    39. Leandro Carvalho & Dan Silverman, 2019. "Complexity and Sophistication," NBER Working Papers 26036, National Bureau of Economic Research, Inc.
    40. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    41. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 419-425.
    42. repec:dau:papers:123456789/4099 is not listed on IDEAS
    43. Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
    44. Jackman, Simon, 2001. "Multidimensional Analysis of Roll Call Data via Bayesian Simulation: Identification, Estimation, Inference, and Model Checking," Political Analysis, Cambridge University Press, vol. 9(3), pages 227-241, January.
    45. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
    46. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    47. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    48. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692090, September.
    49. Clinton, Joshua & Jackman, Simon & Rivers, Douglas, 2004. "The Statistical Analysis of Roll Call Data," American Political Science Review, Cambridge University Press, vol. 98(2), pages 355-370, May.
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    Cited by:

    1. Kubler, Felix & Malhotra, Raghav & Polemarchakis, Herakles, 2020. "Identification of preferences, demand and equilibrium with finite data," CRETA Online Discussion Paper Series 60, Centre for Research in Economic Theory and its Applications CRETA.
    2. Joshua Lanier & John K. -H. Quah, 2024. "Goodness-of-fit and utility estimation: what's possible and what's not," Papers 2405.08464, arXiv.org.
    3. Li, Chen & Wakker, Peter P., 2024. "A simple and general axiomatization of average utility maximization for infinite streams," Journal of Economic Theory, Elsevier, vol. 216(C).
    4. Pawel Dziewulski, 2021. "A comprehensive revealed preference approach to approximate utility maximisation," Working Paper Series 0621, Department of Economics, University of Sussex Business School.
    5. Felix Kubler & Raghav Malhotra & Herakles Polemarchakis, 2021. "Exact inference from finite market data," Papers 2107.07294, arXiv.org.
    6. Pablo Schenone, 2020. "Final Topology for Preference Spaces," Papers 2004.02357, arXiv.org, revised Mar 2024.

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