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School Choice and Loss Aversion

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  • Vincent Meisner
  • Jonas von Wangenheim

Abstract

Evidence suggests that participants in direct student-proposing deferred-acceptance mechanisms (DA) play dominated strategies. To explain the data, we introduce expectation-based loss aversion into a school-choice setting and characterize choice-acclimating personal equilibria in DA. We find that non-truthful preference submissions can be strictly optimal if and only if they are top-choice monotone. In equilibrium, DA may implement allocations with justified envy. Specifically, it discriminates against students who are more loss averse or less confident than their peers, and amplifies already existing discrimination. To level the playing field, we propose sequential mechanisms as alternatives that are robust to these biases.

Suggested Citation

  • Vincent Meisner & Jonas von Wangenheim, 2021. "School Choice and Loss Aversion," CESifo Working Paper Series 9479, CESifo.
  • Handle: RePEc:ces:ceswps:_9479
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    1. Klijn, Flip & Pais, Joana & Vorsatz, Marc, 2019. "Static versus dynamic deferred acceptance in school choice: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 113(C), pages 147-163.
    2. Koszegi, Botond & Rabin, Matthew, 2004. "A Model of Reference-Dependent Preferences," Department of Economics, Working Paper Series qt0w82b6nm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Alexander L. Brown & Taisuke Imai & Ferdinand M. Vieider & Colin F. Camerer, 2024. "Meta-analysis of Empirical Estimates of Loss Aversion," Journal of Economic Literature, American Economic Association, vol. 62(2), pages 485-516, June.
    4. Gabrielle Fack & Julien Grenet & Yinghua He, 2019. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," American Economic Review, American Economic Association, vol. 109(4), pages 1486-1529, April.
    5. Fabian Herweg & Daniel Muller & Philipp Weinschenk, 2010. "Binary Payment Schemes: Moral Hazard and Loss Aversion," American Economic Review, American Economic Association, vol. 100(5), pages 2451-2477, December.
    6. Basteck, Christian & Mantovani, Marco, 2018. "Cognitive ability and games of school choice," Games and Economic Behavior, Elsevier, vol. 109(C), pages 156-183.
    7. Johannes Abeler & Armin Falk & Lorenz Goette & David Huffman, 2011. "Reference Points and Effort Provision," American Economic Review, American Economic Association, vol. 101(2), pages 470-492, April.
    8. Uri Gneezy & John A. List & George Wu, 2006. "The Uncertainty Effect: When a Risky Prospect is Valued Less than its Worst Possible Outcome," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1283-1309.
    9. Avinatan Hassidim & Assaf Romm & Ran I. Shorrer, 2017. "Redesigning the Israeli Psychology Master's Match," American Economic Review, American Economic Association, vol. 107(5), pages 205-209, May.
    10. Gabrielle Fack & Julien Grenet & Yinghua He, 2019. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," American Economic Review, American Economic Association, vol. 109(4), pages 1486-1529, April.
    11. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-924, July.
    12. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    13. Lange, Andreas & Ratan, Anmol, 2010. "Multi-dimensional reference-dependent preferences in sealed-bid auctions - How (most) laboratory experiments differ from the field," Games and Economic Behavior, Elsevier, vol. 68(2), pages 634-645, March.
    14. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    15. Ran I. Shorrer & Sandor Sovago, 2017. "Obvious Mistakes in a Strategically Simple College Admissions Environment," Tinbergen Institute Discussion Papers 17-107/V, Tinbergen Institute.
    16. Fabian Herweg & Konrad Mierendorff, 2013. "Uncertain Demand, Consumer Loss Aversion, And Flat-Rate Tariffs," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 399-432, April.
    17. Parag A. Pathak & Tayfun Sönmez, 2013. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," American Economic Review, American Economic Association, vol. 103(1), pages 80-106, February.
    18. Heiko Karle & Georg Kirchsteiger & Martin Peitz, 2015. "Loss Aversion and Consumption Choice: Theory and Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 101-120, May.
    19. Charles Sprenger, 2015. "An Endowment Effect for Risk: Experimental Tests of Stochastic Reference Points," Journal of Political Economy, University of Chicago Press, vol. 123(6), pages 1456-1499.
    20. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    21. Ondřej Rydval & Andreas Ortmann & Sasha Prokosheva & Ralph Hertwig, 2009. "How certain is the uncertainty effect?," Experimental Economics, Springer;Economic Science Association, vol. 12(4), pages 473-487, December.
    22. Vincent P. Crawford & Juanjuan Meng, 2011. "New York City Cab Drivers' Labor Supply Revisited: Reference-Dependent Preferences with Rational-Expectations Targets for Hours and Income," American Economic Review, American Economic Association, vol. 101(5), pages 1912-1932, August.
    23. Heiko Karle & Martin Peitz, 2014. "Competition under consumer loss aversion," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 1-31, March.
    24. Ashlagi, Itai & Gonczarowski, Yannai A., 2018. "Stable matching mechanisms are not obviously strategy-proof," Journal of Economic Theory, Elsevier, vol. 177(C), pages 405-425.
    25. Hakimov, Rustamdjan & Kübler, Dorothea, 2021. "Experiments on centralized school choice and college admissions: a survey," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 24(2), pages 434-488.
    26. Dato, Simon & Grunewald, Andreas & Müller, Daniel & Strack, Philipp, 2017. "Expectation-based loss aversion and strategic interaction," Games and Economic Behavior, Elsevier, vol. 104(C), pages 681-705.
    27. Carbajal, Juan Carlos & Ely, Jeffrey C., 2016. "A model of price discrimination under loss aversion and state-contingent reference points," Theoretical Economics, Econometric Society, vol. 11(2), May.
    28. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-1652, September.
    29. Ori Heffetz & John A. List, 2014. "Is The Endowment Effect An Expectations Effect?," Journal of the European Economic Association, European Economic Association, vol. 12(5), pages 1396-1422, October.
    30. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    31. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    32. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    33. Chen, Li & Sebastián Pereyra, Juan, 2019. "Self-selection in school choice," Games and Economic Behavior, Elsevier, vol. 117(C), pages 59-81.
    34. Roth, Alvin E., 1989. "Two-sided matching with incomplete information about others' preferences," Games and Economic Behavior, Elsevier, vol. 1(2), pages 191-209, June.
    35. Botond Kőszegi & Paul Heidhues, 2008. "Competition and Price Variation When Consumers Are Loss Averse," American Economic Review, American Economic Association, vol. 98(4), pages 1245-1268, September.
    36. Rosato, Antonio, 2014. "Loss Aversion in Sequential Auctions: Endogenous Interdependence, Informational Externalities and the "Afternoon Effect"," MPRA Paper 56824, University Library of Munich, Germany.
    37. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    38. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    39. David Gill & Victoria Prowse, 2012. "A Structural Analysis of Disappointment Aversion in a Real Effort Competition," American Economic Review, American Economic Association, vol. 102(1), pages 469-503, February.
    40. Zhang, Jun, 2021. "Level-k reasoning in school choice," Games and Economic Behavior, Elsevier, vol. 128(C), pages 1-17.
    41. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    42. Ehlers, Lars & Masso, Jordi, 2007. "Incomplete information and singleton cores in matching markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 587-600, September.
    43. Muriel Niederle & Lise Vesterlund, 2007. "Do Women Shy Away From Competition? Do Men Compete Too Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1067-1101.
    44. Fernandez, Marcelo Ariel, 2018. "Deferred acceptance and regret-free truth-telling," Economics Working Paper Archive 65832, The Johns Hopkins University,Department of Economics, revised 31 Jul 2020.
    45. Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
    46. Yusufcan Masatlioglu & Collin Raymond, 2016. "A Behavioral Analysis of Stochastic Reference Dependence," American Economic Review, American Economic Association, vol. 106(9), pages 2760-2782, September.
    47. Yair Antler, 2015. "Two-Sided Matching with Endogenous Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 7(3), pages 241-258, August.
    48. Devin G. Pope & Maurice E. Schweitzer, 2011. "Is Tiger Woods Loss Averse? Persistent Bias in the Face of Experience, Competition, and High Stakes," American Economic Review, American Economic Association, vol. 101(1), pages 129-157, February.
    49. Keith M. Marzilli Ericson & Andreas Fuster, 2011. "Expectations as Endowments: Evidence on Reference-Dependent Preferences from Exchange and Valuation Experiments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1879-1907.
    50. Avinatan Hassidim & Déborah Marciano & Assaf Romm & Ran I. Shorrer, 2017. "The Mechanism Is Truthful, Why Aren't You?," American Economic Review, American Economic Association, vol. 107(5), pages 220-224, May.
    51. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    52. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    53. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    54. , & ,, 2014. "Regular prices and sales," Theoretical Economics, Econometric Society, vol. 9(1), January.
    55. Heffetz, Ori, 2021. "Are reference points merely lagged beliefs over probabilities?," Journal of Economic Behavior & Organization, Elsevier, vol. 181(C), pages 252-269.
    56. repec:nas:journl:v:115:y:2018:p:11471-11476 is not listed on IDEAS
    57. Brad M. Barber & Terrance Odean, 2001. "Boys will be Boys: Gender, Overconfidence, and Common Stock Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 261-292.
    58. Matthew Rabin & Georg Weizsacker, 2009. "Narrow Bracketing and Dominated Choices," American Economic Review, American Economic Association, vol. 99(4), pages 1508-1543, September.
    59. Alex Rees-Jones & Samuel Skowronek, 2018. "An Experimental Investigation of Preference Misrepresentation in the Residency Match," Papers 1802.01990, arXiv.org, revised Aug 2018.
    60. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    61. Li Chen & Juan Sebastian Pereyra Barreiro, 2015. "Self-Selection in School Choice," Working Papers ECARES ECARES 2015-52, ULB -- Universite Libre de Bruxelles.
    62. Bnaya Dreyfuss & Ori Heffetz & Matthew Rabin, 2019. "Expectations-Based Loss Aversion May Help Explain Seemingly Dominated Choices in Strategy-Proof Mechanisms," NBER Working Papers 26394, National Bureau of Economic Research, Inc.
    63. Botond Koszegi & Matthew Rabin, 2009. "Reference-Dependent Consumption Plans," American Economic Review, American Economic Association, vol. 99(3), pages 909-936, June.
    64. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    65. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    66. Uri Gneezy & Lorenz Goette & Charles Sprenger & Florian Zimmermann, 2017. "The Limits of Expectations-Based Reference Dependence," Journal of the European Economic Association, European Economic Association, vol. 15(4), pages 861-876.
    67. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    68. Rees-Jones, Alex, 2018. "Suboptimal behavior in strategy-proof mechanisms: Evidence from the residency match," Games and Economic Behavior, Elsevier, vol. 108(C), pages 317-330.
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    Citations

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    Cited by:

    1. Jean-Michel Benkert, 2015. "Bilateral trade with loss-averse agents," ECON - Working Papers 188, Department of Economics - University of Zurich, revised Jul 2022.
    2. Karle, Heiko & Schumacher, Heiner & Vølund, Rune, 2023. "Consumer loss aversion and scale-dependent psychological switching costs," Games and Economic Behavior, Elsevier, vol. 138(C), pages 214-237.
    3. Andrew Kloosterman & Peter Troyan, 2023. "Rankings-Dependent Preferences: A Real Goods Matching Experiment," Papers 2305.03644, arXiv.org, revised Aug 2024.
    4. Hakimov, Rustamdjan & Kübler, Dorothea, 2021. "Experiments on centralized school choice and college admissions: a survey," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 24(2), pages 434-488.
    5. Vincent Meisner, 2023. "Report-Dependent Utility and Strategy-Proofness," Management Science, INFORMS, vol. 69(5), pages 2733-2745, May.
    6. Balzer, Benjamin & Rosato, Antonio & von Wangenheim, Jonas, 2022. "Dutch vs. first-price auctions with expectations-based loss-averse bidders," Journal of Economic Theory, Elsevier, vol. 205(C).
    7. Meisner, Vincent, 2021. "Report-Dependent Utility and Strategy-Proofness," Rationality and Competition Discussion Paper Series 289, CRC TRR 190 Rationality and Competition.
    8. Bnaya Dreyfuss & Ofer Glicksohn & Ori Heffetz & Assaf Romm, 2022. "Deferred Acceptance with News Utility," NBER Working Papers 30635, National Bureau of Economic Research, Inc.

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    More about this item

    Keywords

    market design; matching; school choice; reference-dependent preferences; loss aversion; deferred acceptance;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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