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Random Utility and Limited Consideration

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  • Victor H. Aguiar
  • Maria Jose Boccardi
  • Nail Kashaev
  • Jeongbin Kim

Abstract

The random utility model (RUM, McFadden and Richter, 1990) has been the standard tool to describe the behavior of a population of decision makers. RUM assumes that decision makers behave as if they maximize a rational preference over a choice set. This assumption may fail when consideration of all alternatives is costly. We provide a theoretical and statistical framework that unifies well-known models of random (limited) consideration and generalizes them to allow for preference heterogeneity. We apply this methodology in a novel stochastic choice dataset that we collected in a large-scale online experiment. Our dataset is unique since it exhibits both choice set and (attention) frame variation. We run a statistical survival race between competing models of random consideration and RUM. We find that RUM cannot explain the population behavior. In contrast, we cannot reject the hypothesis that decision makers behave according to the logit attention model (Brade and Rehbeck, 2016).

Suggested Citation

  • Victor H. Aguiar & Maria Jose Boccardi & Nail Kashaev & Jeongbin Kim, 2018. "Random Utility and Limited Consideration," Papers 1812.09619, arXiv.org, revised Jul 2022.
  • Handle: RePEc:arx:papers:1812.09619
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    1. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    2. Kate Ho & Joseph Hogan & Fiona Scott Morton, 2017. "The impact of consumer inattention on insurer pricing in the Medicare Part D program," RAND Journal of Economics, RAND Corporation, vol. 48(4), pages 877-905, December.
    3. John Horton & David Rand & Richard Zeckhauser, 2011. "The online laboratory: conducting experiments in a real labor market," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 399-425, September.
    4. Elena Reutskaja & Rosemarie Nagel & Colin F. Camerer & Antonio Rangel, 2011. "Search Dynamics in Consumer Choice under Time Pressure: An Eye-Tracking Study," American Economic Review, American Economic Association, vol. 101(2), pages 900-926, April.
    5. Yuichi Kitamura & Jörg Stoye, 2018. "Nonparametric Analysis of Random Utility Models," Econometrica, Econometric Society, vol. 86(6), pages 1883-1909, November.
    6. Mogens Fosgerau & Emerson Melo & André de Palma & Matthew Shum, 2020. "Discrete Choice And Rational Inattention: A General Equivalence Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1569-1589, November.
    7. de Clippel, Geoffroy & Rozen, Kareen, 2021. "Bounded rationality and limited datasets," Theoretical Economics, Econometric Society, vol. 16(2), May.
    8. Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
    9. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    10. Andrew Caplin & Mark Dean & John Leahy, 2019. "Rational Inattention, Optimal Consideration Sets, and Stochastic Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(3), pages 1061-1094.
    11. Aguiar, Victor H. & Boccardi, Maria Jose & Dean, Mark, 2016. "Satisficing and stochastic choice," Journal of Economic Theory, Elsevier, vol. 166(C), pages 445-482.
    12. Matthew Kovach & Gerelt Tserenjigmid, 2022. "The Focal Luce Model," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 378-413, August.
    13. Jörg Rieskamp & Jerome R. Busemeyer & Barbara A. Mellers, 2006. "Extending the Bounds of Rationality: Evidence and Theories of Preferential Choice," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 631-661, September.
    14. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    15. Levon Barseghyan & Francesca Molinari & Matthew Thirkettle, 2021. "Discrete Choice under Risk with Limited Consideration," American Economic Review, American Economic Association, vol. 111(6), pages 1972-2006, June.
    16. Jose Apesteguia & Miguel A Ballester, 2021. "Separating Predicted Randomness from Residual Behavior," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 1041-1076.
    17. Ali Hortaçsu & Seyed Ali Madanizadeh & Steven L. Puller, 2017. "Power to Choose? An Analysis of Consumer Inertia in the Residential Electricity Market," American Economic Journal: Economic Policy, American Economic Association, vol. 9(4), pages 192-226, November.
    18. Horan, Sean, 2019. "Random consideration and choice: A case study of “default” options," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 73-84.
    19. Nail Kashaev & Natalia Lazzati, 2019. "Peer Effects in Random Consideration Sets," Papers 1904.06742, arXiv.org, revised May 2021.
    20. William J McCausland & Clintin Davis-Stober & AAJ Marley & Sanghyuk Park & Nicholas Brown, 2020. "Testing the Random Utility Hypothesis Directly," The Economic Journal, Royal Economic Society, vol. 130(625), pages 183-207.
    21. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    22. Elisabeth Honka, 2014. "Quantifying search and switching costs in the US auto insurance industry," RAND Journal of Economics, RAND Corporation, vol. 45(4), pages 847-884, December.
    23. Kashaev, Nail & Aguiar, Victor H., 2022. "A random attention and utility model," Journal of Economic Theory, Elsevier, vol. 204(C).
    24. Michael Haigh & John List, 2005. "A simple test of expected utility theory using professional traders," Artefactual Field Experiments 00093, The Field Experiments Website.
    25. David J. Freeman & Yoram Halevy & Terri Kneeland, 2019. "Eliciting risk preferences using choice lists," Quantitative Economics, Econometric Society, vol. 10(1), pages 217-237, January.
    26. Jason Abaluck & Abi Adams, 2017. "What do consumers consider before they choose? Identification from asymmetric demand responses," IFS Working Papers W17/09, Institute for Fiscal Studies.
    27. Xavier Gabaix & David Laibson & Guillermo Moloche & Stephen Weinberg, 2006. "Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model," American Economic Review, American Economic Association, vol. 96(4), pages 1043-1068, September.
    28. Levon Barseghyan & Maura Coughlin & Francesca Molinari & Joshua C. Teitelbaum, 2021. "Heterogeneous Choice Sets and Preferences," Econometrica, Econometric Society, vol. 89(5), pages 2015-2048, September.
    29. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    30. Paulo Natenzon, 2019. "Random Choice and Learning," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 419-457.
    31. Jason Abaluck & Abi Adams, 2017. "What Do Consumers Consider Before They Choose? Identification from Asymmetric Demand Responses," NBER Working Papers 23566, National Bureau of Economic Research, Inc.
    32. Fosgerau, Mogens & Melo, Emerson & Shum, Matt, 2017. "Discrete Choice and Rational Inattention: a General Equivalence Result�," MPRA Paper 76605, University Library of Munich, Germany.
    33. Florian Heiss & Daniel McFadden & Joachim Winter & Amelie Wuppermann & Bo Zhou, 2021. "Inattention and Switching Costs as Sources of Inertia in Medicare Part D," American Economic Review, American Economic Association, vol. 111(9), pages 2737-2781, September.
    34. Christopher T. Conlon & Julie Holland Mortimer, 2013. "Demand Estimation under Incomplete Product Availability," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 1-30, November.
    35. Chateauneuf, Alain & Jaffray, Jean-Yves, 1989. "Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 263-283, June.
    36. Yufeng Huang & Bart J. Bronnenberg, 2018. "Pennies for Your Thoughts: Costly Product Consideration and Purchase Quantity Thresholds," Marketing Science, INFORMS, vol. 37(6), pages 1009-1028, November.
    37. Jose Apesteguia & Miguel Ángel Ballester, 2018. "Separating Predicted Randomness from Noise," Working Papers 1018, Barcelona School of Economics.
    38. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    39. Yuval Salant & Ariel Rubinstein, 2008. "(A, f): Choice with Frames -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1287-1296.
    40. Elisabeth Honka & Ali Hortaçsu & Maria Ana Vitorino, 2017. "Advertising, consumer awareness, and choice: evidence from the U.S. banking industry," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 611-646, August.
    41. David G. Rand & Joshua D. Greene & Martin A. Nowak, 2012. "Spontaneous giving and calculated greed," Nature, Nature, vol. 489(7416), pages 427-430, September.
    42. Richard L. Brady & John Rehbeck, 2016. "Menu‐Dependent Stochastic Feasibility," Econometrica, Econometric Society, vol. 84, pages 1203-1223, May.
    43. Huber, Joel & Payne, John W & Puto, Christopher, 1982. "Adding Asymmetrically Dominated Alternatives: Violations of Regularity and the Similarity Hypothesis," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 9(1), pages 90-98, June.
    44. Lleras, Juan Sebastián & Masatlioglu, Yusufcan & Nakajima, Daisuke & Ozbay, Erkut Y., 2017. "When more is less: Limited consideration," Journal of Economic Theory, Elsevier, vol. 170(C), pages 70-85.
    45. Babur De Los Santos & Ali Hortacsu & Matthijs R. Wildenbeest, 2012. "Testing Models of Consumer Search Using Data on Web Browsing and Purchasing Behavior," American Economic Review, American Economic Association, vol. 102(6), pages 2955-2980, October.
    46. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    47. Jason Abaluck & Abi Adams-Prassl, 2021. "What do Consumers Consider Before They Choose? Identification from Asymmetric Demand Responses," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 136(3), pages 1611-1663.
    48. Kovach, Matthew & Ülkü, Levent, 2020. "Satisficing with a variable threshold," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 67-76.
    49. Florian Heiss & Daniel McFadden & Joachim Winter & Amelie Wuppermann & Bo Zhou, 2016. "Inattention and Switching Costs as Sources of Inertia in Medicare Part D," NBER Working Papers 22765, National Bureau of Economic Research, Inc.
    50. Mark Dean & John McNeil, 2014. "Preference for Flexibility and Random Choice: an Experimental Analysis," Working Papers 2014-10, Brown University, Department of Economics.
    51. Jose Apesteguia & Miguel Ángel Ballester, 2016. "Stochastic Representative Agent," Working Papers 928, Barcelona School of Economics.
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    Cited by:

    1. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    2. Gibbard, Peter, 2021. "Disentangling preferences and limited attention: Random-utility models with consideration sets," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    3. Nail Kashaev & Natalia Lazzati, 2019. "Peer Effects in Random Consideration Sets," Papers 1904.06742, arXiv.org, revised May 2021.
    4. Mark Dean & Dilip Ravindran & Jorg Stoye, 2022. "A Better Test of Choice Overload," Papers 2212.03931, arXiv.org.
    5. Kovach, Matthew & Suleymanov, Elchin, 2023. "Reference dependence and random attention," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 421-441.
    6. Andrew Caplin & Daniel J. Martin, 2020. "Framing, Information, and Welfare," NBER Working Papers 27265, National Bureau of Economic Research, Inc.
    7. Changkuk Im & John Rehbeck, 2021. "Non-rationalizable Individuals, Stochastic Rationalizability, and Sampling," Papers 2102.03436, arXiv.org, revised Oct 2021.
    8. Georgios Gerasimou, 2020. "The Decision-Conflict Logit," Papers 2008.04229, arXiv.org, revised Aug 2023.
    9. Martin Bustos, 2024. "Identification with Posterior-Separable Information Costs," Papers 2402.09789, arXiv.org.

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