IDEAS home Printed from https://ideas.repec.org/p/usg/dp2008/2008-10.html
   My bibliography  Save this paper

Mixed Matching Markets

Author

Listed:
  • Winfried Hochstättler
  • Robert Nickel
  • David Schiess

Abstract

We introduce a new model for two-sided markets that generalizes stable marriages as well as assignment games. Our model is a further generalization of the model introduced by Eriksson and Karlander [2]. We prove that the core of our model is always non-empty by providing an algorithm that determines a stable solution in O(n4).

Suggested Citation

  • Winfried Hochstättler & Robert Nickel & David Schiess, 2008. "Mixed Matching Markets," University of St. Gallen Department of Economics working paper series 2008 2008-10, Department of Economics, University of St. Gallen.
    • Handle: RePEc:usg:dp2008:2008-10
    as

    Download full text from publisher

    File URL: http://ux-tauri.unisg.ch/RePEc/usg/dp2008/DP-10-Sc.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    2. Roth, Alvin E. & Sotomayor, Marilda, 1996. "Stable Outcomes in Discrete and Continuous Models of Two-Sided Matching: a Unified Treatment," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 16(2), November.
    Full references (including those not matched with items on IDEAS)

    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. David Pérez-Castrillo & Marilda Sotomayor, 2013. "Two Folk Manipulability Theorems In The General One-To-Two-Sided Matching Markets With Money," Working Papers, Department of Economics 2013_01, University of São Paulo (FEA-USP).
    2. Sotomayor, Marilda, 2007. "Core structure and comparative statics in a hybrid matching market," Games and Economic Behavior, Elsevier, vol. 60(2), pages 357-380, August.
    3. Sotomayor, Marilda, 2000. "Existence of stable outcomes and the lattice property for a unified matching market," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 119-132, March.
    4. David Pérez-Castrillo & Marilda Sotomayor, 2013. "Two Folk Manipulability Theorems in the General One-to-one Two-sided Matching Markets with Money," Working Papers 681, Barcelona School of Economics.
    5. Sotomayor, Marilda, 2003. "A Dynamic Price-Setting Mechanism for a Hybrid Matching Market," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 23(2), November.
    6. Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
    7. Ingebretsen Carlson, Jim, 2015. "An Approximate Auction," Working Papers 2015:19, Lund University, Department of Economics.
    8. , & ,, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    9. A. Talman & Zaifu Yang, 2015. "An efficient multi-item dynamic auction with budget constrained bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 769-784, August.
    10. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 391-401, May.
    11. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    12. Heinrich H. Nax & Bary S.R. Pradelski, 2012. "Evolutionary dynamics and equitable core selection in assignment games," Economics Series Working Papers 607, University of Oxford, Department of Economics.
    13. Bikhchandani, Sushil & Ostroy, Joseph M., 2006. "Ascending price Vickrey auctions," Games and Economic Behavior, Elsevier, vol. 55(2), pages 215-241, May.
    14. Andersson, T. & Erlanson, A. & Gudmundsson, J. & Habis, H. & Ingebretsen Carlson, J. & Kratz, J., 2014. "A method for finding the maximal set in excess demand," Economics Letters, Elsevier, vol. 125(1), pages 18-20.
    15. Tommy ANDERSSON & Lars EHLERS & Lars-Gunnar SVENSSON, 2014. "Transferring Ownership of Public Housing to Existing Tenants : A Mechanism Design Approach," Cahiers de recherche 09-2014, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    16. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    17. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    18. Caplin, Andrew & Leahy, John, 2020. "Comparative statics in markets for indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 80-94.
    19. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
    20. Cramton, Peter C, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(2), pages 267-343, Summer.

    More about this item

    Keywords

    stable marriage; assignment game; core;
    All these keywords.

    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:usg:dp2008:2008-10. 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: Joerg Baumberger (email available below). General contact details of provider: https://edirc.repec.org/data/vwasgch.html .

    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.