IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v107y2018icp41-59.html
   My bibliography  Save this article

Sequential rules for house allocation with price restrictions

Author

Listed:
  • Andersson, Tommy
  • Svensson, Lars-Gunnar

Abstract

This paper considers a housing market with price restrictions. On such market, price equilibrium may be excluded for certain preference profiles. However, the existence of a unique minimal rationing price equilibrium has previously been established on a general preference domain that contains “almost all” preference profiles. This type of equilibrium has been demonstrated to be an important ingredient in a direct and strategy-proof allocation mechanism for housing markets with price restrictions. The main contribution of this paper is to provide a finite ascending price sequence that terminates to a minimal rationing price equilibrium. This sequence is demonstrated to play a key-role in an Iterative English Auction Rule for housing markets with price restrictions.

Suggested Citation

  • Andersson, Tommy & Svensson, Lars-Gunnar, 2018. "Sequential rules for house allocation with price restrictions," Games and Economic Behavior, Elsevier, vol. 107(C), pages 41-59.
    • Handle: RePEc:eee:gamebe:v:107:y:2018:i:c:p:41-59
    DOI: 10.1016/j.geb.2017.10.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617302026
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2017.10.027?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Andersson, Tommy & Svensson, Lars-Gunnar, 2016. "Strategy-proof house allocation with price restrictions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 167-177.
    2. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
    3. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    4. Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    5. Talman, Dolf & Yang, Zaifu, 2008. "A dynamic auction for differentiated items under price rigidities," Economics Letters, Elsevier, vol. 99(2), pages 278-281, May.
    6. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    7. Herings, P. Jean-Jacques, 2018. "Equilibrium and matching under price controls," Journal of Economic Theory, Elsevier, vol. 177(C), pages 222-244.
    8. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
    9. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
    10. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    11. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    12. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    13. Saeed Alaei & Kamal Jain & Azarakhsh Malekian, 2016. "Competitive Equilibria in Two-Sided Matching Markets with General Utility Functions," Operations Research, INFORMS, vol. 64(3), pages 638-645, June.
    14. 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.
    15. , & ,, 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.
    16. 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.
    17. Engelbrecht-Wiggans, Richard & Kahn, Charles M., 1991. "Protecting the winner : Second-price versus oral auctions," Economics Letters, Elsevier, vol. 35(3), pages 243-248, March.
    18. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    19. 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.
    20. Tommy Andersson & Lars‐Gunnar Svensson, 2014. "Non‐Manipulable House Allocation With Rent Control," Econometrica, Econometric Society, vol. 82(2), pages 507-539, March.
    21. Federico Echenique, 2012. "Contracts versus Salaries in Matching," American Economic Review, American Economic Association, vol. 102(1), pages 594-601, February.
    22. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    23. Baisa, Brian, 2017. "Auction design without quasilinear preferences," Theoretical Economics, Econometric Society, vol. 12(1), January.
    24. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    25. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
    26. Yu Zhou & Shigehiro Serizawa, 2016. "Strategy-Proofness and Efficiency for Non-quasi-linear Common-Tiered-Object Preferences: Characterization of Minimum Price Rule," ISER Discussion Paper 0971, Institute of Social and Economic Research, Osaka University.
    27. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
    28. 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.
    29. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    30. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    31. Talman, A.J.J. & Yang, Z.F., 2008. "A dynamic auction for differentiated items under price rigidity," Other publications TiSEM dbce61c1-07fd-4e95-a9c1-4, Tilburg University, School of Economics and Management.
    32. Ronald Harstad, 2000. "Dominant Strategy Adoption and Bidders' Experience with Pricing Rules," Experimental Economics, Springer;Economic Science Association, vol. 3(3), pages 261-280, December.
    33. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    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. Yu Zhou & Shigehiro Serizawa, 2020. "Serial Vickrey Mechanism," ISER Discussion Paper 1095, Institute of Social and Economic Research, Osaka University.
    2. Andersson, Tommy & Svensson, Lars-Gunnar, 2024. "Strategy-proof allocation of objects: A characterization result," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 1-5.
    3. Tommy Andersson & Lars Ehlers, 2022. "An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 50-60, March.
    4. Yu Zhou & Shigehiro Serizawa, 2019. "Minimum price equilibrium in the assignment market," ISER Discussion Paper 1047, Institute of Social and Economic Research, Osaka University.

    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. Jagadeesan, Ravi & Kominers, Scott Duke & Rheingans-Yoo, Ross, 2018. "Strategy-proofness of worker-optimal matching with continuously transferable utility," Games and Economic Behavior, Elsevier, vol. 108(C), pages 287-294.
    2. Yu Zhou & Shigehiro Serizawa, 2020. "Serial Vickrey Mechanism," ISER Discussion Paper 1095, Institute of Social and Economic Research, Osaka University.
    3. 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.
    4. Tomoya Kazumura & Shigehiro Serizawa, 2016. "Efficiency and strategy-proofness in object assignment problems with multi-demand preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 633-663, October.
    5. Andersson, Tommy & Andersson, Christer & Talman, Adolphus Johannes Jan, 2010. "Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders," Working Papers 2010:15, Lund University, Department of Economics, revised 28 Jun 2012.
    6. Ingebretsen Carlson, Jim, 2016. "An Auction with Approximated Bidder Preferences - When an Auction has to be Quick," Working Papers 2016:12, Lund University, Department of Economics.
    7. Zhou, Yu & Serizawa, Shigehiro, 2023. "Multi-object auction design beyond quasi-linearity: Leading examples," Games and Economic Behavior, Elsevier, vol. 140(C), pages 210-228.
    8. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    9. Jim Ingebretsen Carlson, 2020. "A speedy auction using approximated bidders’ preferences," Annals of Operations Research, Springer, vol. 288(1), pages 65-93, May.
    10. 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.
    11. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    12. Andersson, Tommy & Yang, Zaifu & Zhang, Dongmo, 2015. "How to efficiently allocate houses under price controls?," Economics Letters, Elsevier, vol. 130(C), pages 97-99.
    13. P. Jean‐Jacques Herings & Yu Zhou, 2022. "Competitive Equilibria In Matching Models With Financial Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 777-802, May.
    14. Yu Zhou & Shigehiro Serizawa, 2019. "Minimum price equilibrium in the assignment market," ISER Discussion Paper 1047, Institute of Social and Economic Research, Osaka University.
    15. Zhou, Yu & Serizawa, Shigehiro, 2018. "Strategy-proofness and efficiency for non-quasi-linear and common-tiered-object preferences: Characterization of minimum price rule," Games and Economic Behavior, Elsevier, vol. 109(C), pages 327-363.
    16. , & ,, 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.
    17. Tierney, Ryan, 2019. "The problem of multiple commons: A market design approach," Games and Economic Behavior, Elsevier, vol. 114(C), pages 1-27.
    18. Bó, Inácio & Hakimov, Rustamdjan, 2022. "The iterative deferred acceptance mechanism," Games and Economic Behavior, Elsevier, vol. 135(C), pages 411-433.
    19. Ning Sun & Zaifu Yang, 2016. "A Theory of Marriage with Mutually Consented Divorces," Discussion Papers 16/14, Department of Economics, University of York.
    20. David Pérez-Castrillo & Marilda Sotomayor, 2017. "On the manipulability of competitive equilibrium rules in many-to-many buyer–seller markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1137-1161, November.

    More about this item

    Keywords

    Rationing price equilibrium; (Extended) English Price Sequences; Iterative English Auction Rule;
    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
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing

    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:gamebe:v:107:y:2018:i:c:p:41-59. 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/622836 .

    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.