IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2106.14456.html
   My bibliography  Save this paper

The Machiavellian frontier of top trading cycles

Author

Listed:
  • Yajing Chen
  • Zhenhua Jiao
  • Chenfeng Zhang
  • Luosai Zhang

Abstract

This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations for this rule. Specifically, our contribution lies in three aspects. First, we weaken the concept of strategy-proofness and introduce a new incentive notion called truncation-invariance, where the truthful preference-reporting assignment cannot be altered by any agent through misreporting a truncation of the true preference at the assignment produced by the true preference unilaterally. Second, we characterize the TTC rule by the following three groups of axioms: individual rationality, pair-efficiency, truncation-invariance; individual rationality, Pareto efficiency, truncation-invariance; individual rationality, endowments-swapping-proofness, truncation-invariance.1 The new characterizations refine several previous results.2 Third, we show through examples that the characterization results of Takamiya (2001) and Miyagawa (2002) can no longer be obtained if strategy-proofness is replaced with truncation-invariance.

Suggested Citation

  • Yajing Chen & Zhenhua Jiao & Chenfeng Zhang & Luosai Zhang, 2021. "The Machiavellian frontier of top trading cycles," Papers 2106.14456, arXiv.org, revised Apr 2024.
    • Handle: RePEc:arx:papers:2106.14456
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2106.14456
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bade, Sophie, 2019. "Matching with single-peaked preferences," Journal of Economic Theory, Elsevier, vol. 180(C), pages 81-99.
    2. Chen, Yajing & Zhao, Fang, 2021. "Alternative characterizations of the top trading cycles rule in housing markets," Economics Letters, Elsevier, vol. 201(C).
    3. Anno, Hidekazu, 2015. "A short proof for the characterization of the core in housing markets," Economics Letters, Elsevier, vol. 126(C), pages 66-67.
    4. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    5. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.
    6. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, March.
    7. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    8. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    9. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
    10. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    11. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    12. Alvin E. Roth & Uriel G. Rothblum, 1999. "Truncation Strategies in Matching Markets--In Search of Advice for Participants," Econometrica, Econometric Society, vol. 67(1), pages 21-44, January.
    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. Qiufu Chen & Yuanmei Li & Xiaopeng Yin & Luosai Zhang & Siyi Zhou, 2024. "The Machiavellian frontier of stable mechanisms," Papers 2405.12804, arXiv.org, revised Jul 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. Chen, Yajing & Zhao, Fang, 2021. "Alternative characterizations of the top trading cycles rule in housing markets," Economics Letters, Elsevier, vol. 201(C).
    2. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    3. Yuki Tamura, 2022. "Object reallocation problems under single-peaked preferences: two characterizations of the crawler," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 537-565, November.
    4. Di Feng, 2023. "Endowments-swapping-proofness and Efficiency in Multiple-Type Housing Markets," Discussion Paper Series DP2023-14, Research Institute for Economics & Business Administration, Kobe University.
    5. Tamura, Yuki, 2023. "Object reallocation problems with single-dipped preferences," Games and Economic Behavior, Elsevier, vol. 140(C), pages 181-196.
    6. Tamura, Yuki & Hosseini, Hadi, 2022. "The crawler: Three equivalence results for object (re)allocation problems when preferences are single-peaked," Journal of Economic Theory, Elsevier, vol. 203(C).
    7. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.
    8. Marek Pycia & M. Utku Ünver, 2022. "Outside options in neutral allocation of discrete resources," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 581-604, December.
    9. Madhav Raghavan, 2018. "Influence in Private-Good Economies," Cahiers de Recherches Economiques du Département d'économie 18.05, Université de Lausanne, Faculté des HEC, Département d’économie.
    10. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    11. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    12. 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.
    13. YIlmaz, Özgür, 2010. "The probabilistic serial mechanism with private endowments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 475-491, July.
    14. 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).
    15. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
    16. Raghavan, Madhav, 2020. "Influence in private-goods allocation," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 14-28.
    17. Committee, Nobel Prize, 2012. "Alvin E. Roth and Lloyd S. Shapley: Stable allocations and the practice of market design," Nobel Prize in Economics documents 2012-1, Nobel Prize Committee.
    18. Combe, Julien & Schlegel, Jan Christoph, 2024. "Reallocation with priorities," Games and Economic Behavior, Elsevier, vol. 143(C), pages 287-299.
    19. Mackenzie, Andrew & Zhou, Yu, 2022. "Menu mechanisms," Journal of Economic Theory, Elsevier, vol. 204(C).
    20. Rong, Kang & Tang, Qianfeng & Zhang, Yongchao, 2020. "On stable and efficient mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 187(C).

    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:2106.14456. 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.