IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v193y2021ics0022053121000144.html
   My bibliography  Save this article

Strategy-proof exchange under trichotomous preferences

Author

Listed:
  • Manjunath, Vikram
  • Westkamp, Alexander

Abstract

We study the balanced exchange of indivisible objects without monetary transfers when agents may be endowed with (and consume) more than one object. We propose a natural domain of preferences that we call trichotomous. In this domain, each agent's preference over bundles of objects is responsive to an ordering over objects that has the following three indifference classes, in decreasing order of preferences: desirable objects, objects that she is endowed with but does not consider desirable, and objects that she neither is endowed with nor finds desirable.

Suggested Citation

  • Manjunath, Vikram & Westkamp, Alexander, 2021. "Strategy-proof exchange under trichotomous preferences," Journal of Economic Theory, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:jetheo:v:193:y:2021:i:c:s0022053121000144
    DOI: 10.1016/j.jet.2021.105197
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053121000144
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2021.105197?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. Murat Atlamaz & Bettina Klaus, 2007. "Manipulation via Endowments in Exchange Markets with Indivisible Goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 1-18, January.
    2. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    3. Monte, Daniel & Tumennasan, Norovsambuu, 2015. "Centralized allocation in multiple markets," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 74-85.
    4. Paul Milgrom, 2009. "Assignment Messages and Exchanges," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 95-113, August.
    5. Perez-Richet, Eduardo, 2011. "A note on the tight simplification of mechanisms," Economics Letters, Elsevier, vol. 110(1), pages 15-17, January.
    6. Dhar, Ravi, 1997. "Consumer Preference for a No-Choice Option," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(2), pages 215-231, September.
    7. 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.
    8. repec:cor:louvrp:-2331 is not listed on IDEAS
    9. Klaus, Bettina, 2008. "The coordinate-wise core for multiple-type housing markets is second-best incentive compatible," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 919-924, September.
    10. Alcalde-Unzu, Jorge & Molis, Elena, 2011. "Exchange of indivisible goods and indifferences: The Top Trading Absorbing Sets mechanisms," Games and Economic Behavior, Elsevier, vol. 73(1), pages 1-16, September.
    11. Klaus, Bettina & Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Bundling in exchange markets with indivisible goods," Economics Letters, Elsevier, vol. 93(1), pages 106-110, October.
    12. Konishi, Hideo & Quint, Thomas & Wako, Jun, 2001. "On the Shapley-Scarf economy: the case of multiple types of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 1-15, February.
    13. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    14. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    15. repec:hal:spmain:info:hdl:2441/3e7u7h227p99joe00jn66f0o6d is not listed on IDEAS
    16. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    17. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
    18. 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.
    19. Hatfield, John William, 2005. "Pairwise kidney exchange: Comment," Journal of Economic Theory, Elsevier, vol. 125(2), pages 189-193, December.
    20. Mohammad Akbarpour & Shengwu Li & Shayan Oveis Gharan, 2020. "Thickness and Information in Dynamic Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 128(3), pages 783-815.
    21. Moulin Hervé & Anna Bogomolnaia, 2001. "Random Matching and assignment under dichotomous preferences," Economics Bulletin, AccessEcon, vol. 28(19), pages 1.
    22. Greenleaf, Eric A & Lehmann, Donald R, 1995. "Reasons for Substantial Delay in Consumer Decision Making," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 22(2), pages 186-199, September.
    23. Milgrom, Paul, 2010. "Simplified mechanisms with an application to sponsored-search auctions," Games and Economic Behavior, Elsevier, vol. 70(1), pages 62-70, September.
    24. Chernev, Alexander, 2003. "When More Is Less and Less Is More: The Role of Ideal Point Availability and Assortment in Consumer Choice," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 30(2), pages 170-183, September.
    25. Paul Milgrom, 2011. "Critical Issues In The Practice Of Market Design," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 311-320, April.
    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. Tong, Huagang & Zhu, Jianjun, 2023. "A parallel approach with the strategy-proof mechanism for large-scale group decision making: An application in industrial internet," European Journal of Operational Research, Elsevier, vol. 311(1), pages 173-195.
    2. 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.
    3. Di Feng & Bettina Klaus, 2022. "Preference revelation games and strict cores of multiple‐type housing market problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 61-76, March.
    4. Kominers, Scott Duke & Hatfield, John William & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 2021. "Chain stability in trading networks," Theoretical Economics, Econometric Society, vol. 16(1), January.
    5. Biró, Péter & Klijn, Flip & Pápai, Szilvia, 2022. "Serial Rules in a Multi-Unit Shapley-Scarf Market," Games and Economic Behavior, Elsevier, vol. 136(C), pages 428-453.
    6. Tommy ANDERSSON & Ágnes CSEH & Lars EHLERS & Albin ERLANSON, 2018. "Organizing Time Banks : Lessons from Matching Markets," Cahiers de recherche 11-2018, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. 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.
    8. 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.
    9. Di Feng, 2023. "Efficiency in Multiple-Type Housing Markets," Papers 2308.14989, arXiv.org, revised Dec 2023.
    10. Han, Xiang, 2024. "A theory of fair random allocation under priorities," Theoretical Economics, Econometric Society, vol. 19(3), July.
    11. Altuntaş, Açelya & Phan, William & Tamura, Yuki, 2023. "Some characterizations of Generalized Top Trading Cycles," Games and Economic Behavior, Elsevier, vol. 141(C), pages 156-181.

    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. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    2. 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.
    3. Ivan Balbuzanov & Maciej H. Kotowski, 2019. "Endowments, Exclusion, and Exchange," Econometrica, Econometric Society, vol. 87(5), pages 1663-1692, September.
    4. Di Feng & Bettina Klaus, 2022. "Preference revelation games and strict cores of multiple‐type housing market problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 61-76, March.
    5. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    6. 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.
    7. Altuntaş, Açelya & Phan, William & Tamura, Yuki, 2023. "Some characterizations of Generalized Top Trading Cycles," Games and Economic Behavior, Elsevier, vol. 141(C), pages 156-181.
    8. 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.
    9. 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.
    10. Afacan, Mustafa Oğuz & Hu, Gaoji & Li, Jiangtao, 2024. "Housing markets since Shapley and Scarf," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    11. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    12. Alcalde-Unzu, Jorge & Molis, Elena, 2011. "Exchange of indivisible goods and indifferences: The Top Trading Absorbing Sets mechanisms," Games and Economic Behavior, Elsevier, vol. 73(1), pages 1-16, September.
    13. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    14. Ehlers, Lars, 2018. "Strategy-proofness and essentially single-valued cores revisited," Journal of Economic Theory, Elsevier, vol. 176(C), pages 393-407.
    15. Di Feng, 2023. "Efficiency in Multiple-Type Housing Markets," Papers 2308.14989, arXiv.org, revised Dec 2023.
    16. Nicoló, Antonio & Rodríguez-Álvarez, Carmelo, 2012. "Transplant quality and patientsʼ preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 74(1), pages 299-310.
    17. Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "Regrouping of endowments in exchange markets with indivisible goods," Center for Mathematical Economics Working Papers 367, Center for Mathematical Economics, Bielefeld University.
    18. 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.
    19. 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.
    20. 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.

    More about this item

    Keywords

    Individual rationality; Pareto-efficiency; Strategy-proofness; Indivisible goods; Multi-unit demand;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • 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:eee:jetheo:v:193:y:2021:i:c:s0022053121000144. 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/inca/622869 .

    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.