IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1810.08243.html
   My bibliography  Save this paper

Fair Cake-Cutting in Practice

Author

Listed:
  • Maria Kyropoulou
  • Josu'e Ortega
  • Erel Segal-Halevi

Abstract

Using a lab experiment, we investigate the real-life performance of envy-free and proportional cake-cutting procedures with respect to fairness and preference manipulation. We find that envy-free procedures, in particular Selfridge-Conway, are fairer and also are perceived as fairer than their proportional counterparts, despite the fact that agents very often manipulate them. Our results support the practical use of the celebrated Selfridge-Conway procedure, and more generally, of envy-free cake-cutting mechanisms. We also find that subjects learn their opponents' preferences after repeated interaction and use this knowledge to improve their allocated share of the cake. Learning reduces truth-telling behavior, but also reduces envy.

Suggested Citation

  • Maria Kyropoulou & Josu'e Ortega & Erel Segal-Halevi, 2018. "Fair Cake-Cutting in Practice," Papers 1810.08243, arXiv.org, revised Feb 2022.
  • Handle: RePEc:arx:papers:1810.08243
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1810.08243
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Merrill M. Flood, 1958. "Some Experimental Games," Management Science, INFORMS, vol. 5(1), pages 5-26, October.
    2. Lopomo, Giuseppe & Ok, Efe A, 2001. "Bargaining, Interdependence, and the Rationality of Fair Division," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 263-283, Summer.
    3. Hortala-Vallve, Rafael & Llorente-Saguer, Aniol, 2010. "A simple mechanism for resolving conflict," Games and Economic Behavior, Elsevier, vol. 70(2), pages 375-391, November.
    4. Tansa George Massoud, 2000. "Fair Division, Adjusted Winner Procedure (AW), and the Israeli-Palestinian Conflict," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(3), pages 333-358, June.
    5. Chen, Yiling & Lai, John K. & Parkes, David C. & Procaccia, Ariel D., 2013. "Truth, justice, and cake cutting," Games and Economic Behavior, Elsevier, vol. 77(1), pages 284-297.
    6. Terry E. Daniel & James E. Parco, 2005. "Fair, Efficient and Envy-Free Bargaining: An Experimental Test of the Brams-Taylor Adjusted Winner Mechanism," Group Decision and Negotiation, Springer, vol. 14(3), pages 241-264, May.
    7. Avinatan Hassidim & Assaf Romm & Ran I. Shorrer, 2016. ""Strategic" Behavior in a Strategy-Proof Environment," Working Paper 413411, Harvard University OpenScholar.
    8. Steven J. Brams & Jeffrey M. Togman, 1996. "Camp David: Was The Agreement Fair?," Conflict Management and Peace Science, Peace Science Society (International), vol. 15(1), pages 99-112, February.
    9. 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.
    10. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Discussion Paper 2004-108, Tilburg University, Center for Economic Research.
    11. Werner G¸th & Radosveta Ivanova-Stenzel & Manfred K–nigstein & Martin Strobel, 2003. "Learning to bid - an experimental study of bid function adjustments in auctions and fair division games," Economic Journal, Royal Economic Society, vol. 113(487), pages 477-494, April.
    12. Brams, Steven J. & Jones, Michael A. & Klamler, Christian, 2011. "N-Person cake-cutting: there may be no perfect division," MPRA Paper 34264, University Library of Munich, Germany.
    13. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Other publications TiSEM f9573808-10b5-4a9e-a835-2, Tilburg University, School of Economics and Management.
    14. Dorothea Herreiner & Clemens Puppe, 2009. "Envy Freeness in Experimental Fair Division Problems," Theory and Decision, Springer, vol. 67(1), pages 65-100, July.
    15. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    16. John Winsor Pratt & Richard Jay Zeckhauser, 1990. "The Fair and Efficient Division of the Winsor Family Silver," Management Science, INFORMS, vol. 36(11), pages 1293-1301, November.
    17. 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.
    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. Josué Ortega & Erel Segal-Halevi, 2022. "Obvious manipulations in cake-cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 969-988, November.
    2. Hadi Hosseini, 2023. "The Fairness Fair: Bringing Human Perception into Collective Decision-Making," Papers 2312.14402, arXiv.org.
    3. Dwayne Woods, 2023. "The Sponge Cake Dilemma over the Nile: Achieving Fairness in Resource Allocation with Cake Cutting Algorithms," Papers 2310.11472, arXiv.org, revised May 2024.

    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. Kyropoulou, Maria & Ortega, Josué & Segal-Halevi, Erel, 2022. "Fair cake-cutting in practice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 28-49.
    2. Pablo Guillen & Róbert F. Veszteg, 2021. "Strategy-proofness in experimental matching markets," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 650-668, June.
    3. Mandal, Pinaki & Roy, Souvik, 2020. "Obviously Strategy-proof Implementation of Assignment Rules: A New Characterization," MPRA Paper 104044, University Library of Munich, Germany.
    4. Zhang, Jun, 2021. "Level-k reasoning in school choice," Games and Economic Behavior, Elsevier, vol. 128(C), pages 1-17.
    5. Fedor Sandomirskiy & Erel Segal-Halevi, 2019. "Efficient Fair Division with Minimal Sharing," Papers 1908.01669, arXiv.org, revised Apr 2022.
    6. André Schmelzer, 2018. "Strategy-Proofness of Stochastic Assignment Mechanisms," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 3(1), pages 17-50, December.
    7. Rafael Hortala-Vallve & Aniol Llorente-Saguer & Rosemarie Nagel, 2013. "The role of information in different bargaining protocols," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 88-113, March.
    8. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    9. Grenet, Julien & He, YingHua & Kübler, Dorothea, 2022. "Preference Discovery in University Admissions: The Case for Dynamic Multioffer Mechanisms," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 130(6), pages 1-1.
    10. Tatiana Kozitsina & Anna Mikhaylova & Anna Komkova & Anastasia Peshkovskaya & Anna Sedush & Olga Menshikova & Mikhail Myagkov & Ivan Menshikov, 2020. "Ethnicity and gender influence the decision making in a multinational state: The case of Russia," Papers 2012.01272, arXiv.org.
    11. Breitmoser, Yves & Schweighofer-Kodritsch, Sebastian, 2019. "Obviousness around the clock," Discussion Papers, Research Unit: Market Behavior SP II 2019-203, WZB Berlin Social Science Center.
    12. Alex Rees-Jones & Dmitry Taubinsky, 2018. "Taxing Humans: Pitfalls of the Mechanism Design Approach and Potential Resolutions," Tax Policy and the Economy, University of Chicago Press, vol. 32(1), pages 107-133.
    13. Klijn, Flip & Pais, Joana & Vorsatz, Marc, 2020. "Improving schools through school choice: An experimental study of deferred acceptance," Economics Letters, Elsevier, vol. 186(C).
    14. Federico Echenique & Ruy González & Alistair J. Wilson & Leeat Yariv, 2022. "Top of the Batch: Interviews and the Match," American Economic Review: Insights, American Economic Association, vol. 4(2), pages 223-238, June.
    15. Pablo Guillen & Rustamdjan Hakimov, 2017. "Not quite the best response: truth-telling, strategy-proof matching, and the manipulation of others," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 670-686, September.
    16. 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.
    17. Guillen, Pablo & Kesten, Onur & Kiefer, Alexander & Melatos, Mark, 2020. "A Field Evaluation of a Matching Mechanism: University Applicant Behaviour in Australia," Working Papers 2020-15, University of Sydney, School of Economics.
    18. Hasan, Hamid & Ejaz, Nauman, 2013. "Testing for Differences across Genders: A Replication of Ultimatum Game at International Islamic University, Islamabad," MPRA Paper 44923, University Library of Munich, Germany.
    19. Yannai A. Gonczarowski & Ori Heffetz & Clayton Thomas, 2022. "Strategyproofness-Exposing Mechanism Descriptions," Papers 2209.13148, arXiv.org, revised Jul 2023.
    20. 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.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1810.08243. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.