IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v124y2014i1p37-40.html
   My bibliography  Save this article

Cumulative offer process is order-independent

Author

Listed:
  • Hirata, Daisuke
  • Kasuya, Yusuke

Abstract

This note shows that in the matching-with contracts model, the outcome of the cumulative offer process is order-independent if every hospital has a choice function that satisfies the bilateral substitutability condition and the irrelevance of rejected contracts condition.

Suggested Citation

  • Hirata, Daisuke & Kasuya, Yusuke, 2014. "Cumulative offer process is order-independent," Economics Letters, Elsevier, vol. 124(1), pages 37-40.
    • Handle: RePEc:eee:ecolet:v:124:y:2014:i:1:p:37-40
    DOI: 10.1016/j.econlet.2014.04.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176514001360
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2014.04.008?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. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    2. John William Hatfield & Fuhito Kojima, 2008. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 98(3), pages 1189-1194, June.
    3. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    4. Tayfun Sönmez & Tobias B. Switzer, 2013. "Matching With (Branch‐of‐Choice) Contracts at the United States Military Academy," Econometrica, Econometric Society, vol. 81(2), pages 451-488, March.
    5. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    6. Tayfun Sönmez, 2013. "Bidding for Army Career Specialties: Improving the ROTC Branching Mechanism," Journal of Political Economy, University of Chicago Press, vol. 121(1), pages 186-219.
    7. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    8. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
    9. Scott Duke Kominers & Tayfun Sönmez, 2012. "Designing for Diversity: Matching with Slot-Specific Priorities," Boston College Working Papers in Economics 806, Boston College Department of Economics.
    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. Aygün, Orhan & Turhan, Bertan, 2020. "Dynamic reserves in matching markets," Journal of Economic Theory, Elsevier, vol. 188(C).
    2. Bó, Inácio & Hakimov, Rustamdjan, 2022. "The iterative deferred acceptance mechanism," Games and Economic Behavior, Elsevier, vol. 135(C), pages 411-433.
    3. Hirata, Daisuke & 平田, 大祐 & Kasuya, Yusuke & 糟谷, 祐介 & Okumura, Yasunori & 奥村, 保規, 2023. "Stability, Strategy-Proofness, and Respect for Improvements," Discussion Papers 2023-01, Graduate School of Economics, Hitotsubashi University.
    4. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    5. Juan F. Fung & Chia-Ling Hsu, 2021. "A cumulative offer process for supply chain networks," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 93-109, June.
    6. Schlegel, Jan Christoph, 2020. "Equivalent choice functions and stable mechanisms," Games and Economic Behavior, Elsevier, vol. 123(C), pages 41-53.
    7. Inácio Bó & Jörgen Kratz & Makoto Shimoji, 2024. "Generalized cumulative offer processes," Review of Economic Design, Springer;Society for Economic Design, vol. 28(3), pages 573-591, September.
    8. Mustafa Oǧuz Afacan, 2016. "Characterizations of the cumulative offer process," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 531-542, October.
    9. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.
    10. Dimakopoulos, Philipp D. & Heller, C.-Philipp, 2015. "Matching with Waiting Times: The German Entry-Level Labour Market for Lawyers," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113153, Verein für Socialpolitik / German Economic Association.
    11. Philipp D. Dimakopoulos & Christian-Philipp Heller, "undated". "Matching with Waiting Times: The German Entry-Level Labour Market for Lawyers," BDPEMS Working Papers 2014005, Berlin School of Economics.
    12. Tsuyoshi Adachi & Yuki Ishibashi, 2022. "Stability and strategy-proofness for matching with interval constraints," Working Papers 2124, Waseda University, Faculty of Political Science and Economics.
    13. Jan Christoph Schlegel, 2016. "Virtual Demand and Stable Mechanisms," Cahiers de Recherches Economiques du Département d'économie 16.11, Université de Lausanne, Faculté des HEC, Département d’économie.
    14. Schlegel, Jan Christoph, 2015. "Contracts versus salaries in matching: A general result," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 552-573.
    15. Afacan, Mustafa Oǧuz, 2017. "Some further properties of the cumulative offer process," Games and Economic Behavior, Elsevier, vol. 104(C), pages 656-665.
    16. Sun, Ning & Yang, Zaifu, 2021. "Efficiency, stability, and commitment in senior level job matching markets," Journal of Economic Theory, Elsevier, vol. 194(C).
    17. Kasuya, Yusuke, 2021. "Unilateral substitutability is necessary for doctor-optimal stability," Economics Letters, Elsevier, vol. 207(C).
    18. Scott Duke Kominers, 2024. "Respect for Improvements and Comparative Statics in Matching Markets," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 9(1), pages 83-104, December.
    19. Bando, Keisuke & Kawasaki, Ryo, 2024. "Stability and substitutability in multi-period matching markets," Games and Economic Behavior, Elsevier, vol. 147(C), pages 533-553.
    20. Hirata, Daisuke & Kasuya, Yusuke, 2017. "On stable and strategy-proof rules in matching markets with contracts," Journal of Economic Theory, Elsevier, vol. 168(C), pages 27-43.

    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. Hatfield, John William & Kominers, Scott Duke, 2017. "Contract design and stability in many-to-many matching," Games and Economic Behavior, Elsevier, vol. 101(C), pages 78-97.
    2. Schlegel, Jan Christoph, 2020. "Equivalent choice functions and stable mechanisms," Games and Economic Behavior, Elsevier, vol. 123(C), pages 41-53.
    3. Kadam, Sangram Vilasrao, 2017. "Unilateral substitutability implies substitutable completability in many-to-one matching with contracts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 56-68.
    4. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.
    5. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    6. Hirata, Daisuke & Kasuya, Yusuke, 2017. "On stable and strategy-proof rules in matching markets with contracts," Journal of Economic Theory, Elsevier, vol. 168(C), pages 27-43.
    7. Schlegel, Jan Christoph, 2015. "Contracts versus salaries in matching: A general result," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 552-573.
    8. Kojima, Fuhito & Tamura, Akihisa & Yokoo, Makoto, 2018. "Designing matching mechanisms under constraints: An approach from discrete convex analysis," Journal of Economic Theory, Elsevier, vol. 176(C), pages 803-833.
    9. Aygün, Orhan & Turhan, Bertan, 2020. "Dynamic reserves in matching markets," Journal of Economic Theory, Elsevier, vol. 188(C).
    10. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    11. Tayfun Sönmez & Tobias B. Switzer, 2013. "Matching With (Branch‐of‐Choice) Contracts at the United States Military Academy," Econometrica, Econometric Society, vol. 81(2), pages 451-488, March.
    12. Afacan, Mustafa Oǧuz, 2017. "Some further properties of the cumulative offer process," Games and Economic Behavior, Elsevier, vol. 104(C), pages 656-665.
    13. Umut M. Dur & Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez, 2013. "The Demise of Walk Zones in Boston: Priorities vs. Precedence in School Choice," NBER Working Papers 18981, National Bureau of Economic Research, Inc.
    14. Mustafa Oǧuz Afacan, 2016. "Characterizations of the cumulative offer process," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 531-542, October.
    15. Dimakopoulos, Philipp D. & Heller, C.-Philipp, 2019. "Matching with waiting times: The German entry-level labor market for lawyers," Games and Economic Behavior, Elsevier, vol. 115(C), pages 289-313.
    16. Kominers, Scott Duke, 2012. "On the correspondence of contracts to salaries in (many-to-many) matching," Games and Economic Behavior, Elsevier, vol. 75(2), pages 984-989.
    17. Benjamin Tello, 2022. "Stability and Contractual Efficiency in Matching with Contracts and Lexicographic Preferences," Economics Bulletin, AccessEcon, vol. 42(1), pages 41-48.
    18. Antonio Romero-Medina & Matteo Triossi, 2023. "Take-it-or-leave-it contracts in many-to-many matching markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 591-623, February.
    19. Jan Christoph Schlegel, 2014. "Contracts versus Salaries in Matching: A General Result. N.B.: This paper replaces Nr 13.09 "Contracts versus Salaries in Matching: Comment", (June 2013)," Cahiers de Recherches Economiques du Département d'économie 14.05, Université de Lausanne, Faculté des HEC, Département d’économie.
    20. Jan Christoph Schlegel, 2013. "Contracts versus Salaries in Matching: Comment. N.B.: This paper is replaced by Nr 14.05 "Contracts versus Salaries in Matching: A General Result" (August 2014)," Cahiers de Recherches Economiques du Département d'économie 13.09, Université de Lausanne, Faculté des HEC, Département d’économie.

    More about this item

    Keywords

    Bilateral substitutability; Cumulative offer process; Irrelevance of rejected contracts; Matching with contracts;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

    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:124:y:2014:i:1:p:37-40. 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.