IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v243y2024ics0165176524004221.html
   My bibliography  Save this article

Group incentive compatibility in a market with indivisible goods: A comment

Author

Listed:
  • Sandholtz, Will
  • Tai, Andrew

Abstract

We note that the proofs of Bird (1984), the first to show group strategy-proofness of top trading cycles (TTC), require correction. We provide a counterexample to a critical claim and present corrected proofs in the spirit of the originals. We also present a novel proof of strong group strategy-proofness using the corrected results.

Suggested Citation

  • Sandholtz, Will & Tai, Andrew, 2024. "Group incentive compatibility in a market with indivisible goods: A comment," Economics Letters, Elsevier, vol. 243(C).
    • Handle: RePEc:eee:ecolet:v:243:y:2024:i:c:s0165176524004221
    DOI: 10.1016/j.econlet.2024.111938
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176524004221
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2024.111938?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    2. Bird, Charles G., 1984. "Group incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 14(4), pages 309-313.
    3. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    4. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
    5. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
    6. Miyagawa, Eiichi, 2002. "Strategy-Proofness and the Core in House Allocation Problems," Games and Economic Behavior, Elsevier, vol. 38(2), pages 347-361, February.
    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. Jay Sethuraman & Bettina Klaus & Flip Klijn, 2024. "A Characterization of the Top-Trading-Cycles Mechanism for Housing Markets via Respecting-Improvement," Working Papers 1468, Barcelona School of Economics.

    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. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 147-169, September.
    2. Jaramillo, Paula & Manjunath, Vikram, 2012. "The difference indifference makes in strategy-proof allocation of objects," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1913-1946.
    3. Feng, Di & Klaus, Bettina & Klijn, Flip, 2024. "Characterizing the typewise top-trading-cycles mechanism for multiple-type housing markets," Games and Economic Behavior, Elsevier, vol. 146(C), pages 234-254.
    4. Ehlers, Lars, 2014. "Top trading with fixed tie-breaking in markets with indivisible goods," Journal of Economic Theory, Elsevier, vol. 151(C), pages 64-87.
    5. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.
    6. Sonmez, Tayfun & Utku Unver, M., 2005. "House allocation with existing tenants: an equivalence," Games and Economic Behavior, Elsevier, vol. 52(1), pages 153-185, July.
    7. Karakaya, Mehmet & Klaus, Bettina & Schlegel, Jan Christoph, 2019. "Top trading cycles, consistency, and acyclic priorities for house allocation with existing tenants," Journal of Economic Theory, Elsevier, vol. 184(C).
    8. Hong, Miho & Park, Jaeok, 2022. "Core and top trading cycles in a market with indivisible goods and externalities," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    9. Di Feng & Bettina Klaus & Flip Klijn, 2022. "A Characterization of the Coordinate-Wise Top-Trading-Cycles Mechanism for Multiple-Type Housing Markets," Cahiers de Recherches Economiques du Département d'économie 22.06, Université de Lausanne, Faculté des HEC, Département d’économie.
    10. Ekici, Özgün & Sethuraman, Jay, 2024. "Characterizing the TTC rule via pair-efficiency: A short proof," Economics Letters, Elsevier, vol. 234(C).
    11. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    12. Papai, Szilvia, 2007. "Exchange in a general market with indivisible goods," Journal of Economic Theory, Elsevier, vol. 132(1), pages 208-235, January.
    13. Tayfun Sönmez & M. Utku Ünver, 2006. "Kidney Exchange with Good Samaritan Donors: A Characterization," Boston College Working Papers in Economics 640, Boston College Department of Economics.
    14. Ekici, Özgün, 2013. "Reclaim-proof allocation of indivisible objects," Games and Economic Behavior, Elsevier, vol. 81(C), pages 1-10.
    15. Papai, Szilvia, 2003. "Strategyproof exchange of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 931-959, November.
    16. Ahmad, Ghufran, 2021. "Group incentive compatibility in the housing market problem with weak preferences," Games and Economic Behavior, Elsevier, vol. 126(C), pages 136-162.
    17. Fujinaka, Yuji & Miyakawa, Toshiji, 2020. "Ex-post incentive compatible and individually rational assignments in housing markets with interdependent values," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 157-164.
    18. Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
    19. Xinsheng Xiong & Xianjia Wang & Kun He, 2022. "A new allocation rule for the housing market problem with ties," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 98-115, January.
    20. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.

    More about this item

    Keywords

    Matching; Top trading cycles; Group strategy-proofness; Group incentive compatibility; House swapping;
    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
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    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:eee:ecolet:v:243:y:2024:i:c:s0165176524004221. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.