IDEAS home Printed from https://ideas.repec.org/a/aea/aerins/v3y2021i4p455-70.html
   My bibliography  Save this article

Allocation Mechanisms without Reduction

Author

Listed:
  • David Dillenberger
  • Uzi Segal

Abstract

We study a simple variant of the house allocation problem (one-sided matching). We demonstrate that agents with recursive preferences may systematically prefer one allocation mechanism to the other, even among mechanisms that are considered to be the same in standard models, in the sense that they induce the same probability distribution over successful matchings. Using this, we propose a new priority groups mechanism and provide conditions under which it is preferred to two popular mechanisms, random top cycle and random serial dictatorship.

Suggested Citation

  • David Dillenberger & Uzi Segal, 2021. "Allocation Mechanisms without Reduction," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 455-470, December.
  • Handle: RePEc:aea:aerins:v:3:y:2021:i:4:p:455-70
    DOI: 10.1257/aeri.20200728
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/doi/10.1257/aeri.20200728
    Download Restriction: no

    File URL: https://www.aeaweb.org/doi/10.1257/aeri.20200728.ds
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.

    File URL: https://libkey.io/10.1257/aeri.20200728?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Martin Ahlbrecht & Martin Weber, 1997. "Preference for gradual resolution of uncertainty," Theory and Decision, Springer, vol. 43(2), pages 167-185, September.
    2. Chew, S H & Epstein, Larry G & Segal, U, 1991. "Mixture Symmetry and Quadratic Utility," Econometrica, Econometric Society, vol. 59(1), pages 139-163, January.
    3. Helga Fehr-Duda & Thomas Epper, 2012. "Probability and Risk: Foundations and Economic Implications of Probability-Dependent Risk Preferences," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 567-593, July.
    4. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    5. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    6. , A. & ,, 2011. "Lotteries in student assignment: An equivalence result," Theoretical Economics, Econometric Society, vol. 6(1), January.
    7. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    8. Harrison, Glenn W. & Martínez-Correa, Jimmy & Swarthout, J. Todd, 2015. "Reduction of compound lotteries with objective probabilities: Theory and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 32-55.
    9. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    10. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    11. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    12. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    13. Nielsen, Kirby, 2020. "Preferences for the resolution of uncertainty and the timing of information," Journal of Economic Theory, Elsevier, vol. 189(C).
    14. 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.
    15. Kocher, Martin G. & Krawczyk, Michal & van Winden, Frans, 2014. "‘Let me dream on!’ Anticipatory emotions and preference for timing in lotteries," Journal of Economic Behavior & Organization, Elsevier, vol. 98(C), pages 29-40.
    16. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    17. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christina Letsou & Shlomo Naeh & Uzi Segal, 2022. "All probabilities are equal, but some probabilities are more equal than others," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 423-445, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dillenberger, David & Segal, Uzi, 2017. "Skewed noise," Journal of Economic Theory, Elsevier, vol. 169(C), pages 344-364.
    2. Zvi Safra & Uzi Segal, 2005. "Are Universal Preferences Possible? Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 633, Boston College Department of Economics.
    3. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    4. Mohammed Abdellaoui & Enrico Diecidue & Emmanuel Kemel & Ayse Onculer, 2022. "Temporal Risk: Utility vs. Probability Weighting," Management Science, INFORMS, vol. 68(7), pages 5162-5186, July.
    5. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
    6. Christina Letsou & Shlomo Naeh & Uzi Segal, 2022. "All probabilities are equal, but some probabilities are more equal than others," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 423-445, September.
    7. Mark Dean & Pietro Ortoleva, 2012. "Allais, Ellsberg, and Preferences for Hedging," Working Papers 2012-2, Brown University, Department of Economics.
    8. Zvi Safra & Uzi Segal, 2021. "Large Compound Lotteries," Boston College Working Papers in Economics 1057, Boston College Department of Economics, revised 01 Aug 2023.
    9. Dean, Mark & Ortoleva, Pietro, 2017. "Allais, Ellsberg, and preferences for hedging," Theoretical Economics, Econometric Society, vol. 12(1), January.
    10. Chew, Soo Hong & Miao, Bin & Shen, Qiang & Zhong, Songfa, 2022. "Multiple-switching behavior in choice-list elicitation of risk preference," Journal of Economic Theory, Elsevier, vol. 204(C).
    11. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    12. Aurélien Baillon & Yoram Halevy & Chen Li, 2022. "Experimental elicitation of ambiguity attitude using the random incentive system," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1002-1023, June.
    13. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
    14. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2014. "Time Lotteries, Second Version," PIER Working Paper Archive 15-026v2, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 12 Jan 2018.
    15. Jean Baccelli, 2018. "Risk attitudes in axiomatic decision theory: a conceptual perspective," Theory and Decision, Springer, vol. 84(1), pages 61-82, January.
    16. Simon Grant & Atsushi Kajii & Ben Polak, 1996. "Preference for Information," Cowles Foundation Discussion Papers 1114, Cowles Foundation for Research in Economics, Yale University.
    17. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2015. "Time Lotteries," PIER Working Paper Archive 15-026, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 31 Jul 2015.
    18. Liang Zou, 2006. "An Alternative to Prospect Theory," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 1-28, May.
    19. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
    20. Nielsen, Kirby, 2020. "Preferences for the resolution of uncertainty and the timing of information," Journal of Economic Theory, Elsevier, vol. 189(C).

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aea:aerins:v:3:y:2021:i:4:p:455-70. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.