IDEAS home Printed from https://ideas.repec.org/a/the/publsh/4296.html
   My bibliography  Save this article

When Walras meets Vickrey

Author

Listed:
  • Delacrétaz, David

    (Department of Economics, University of Manchester)

  • Loertscher, Simon

    (Department of Economics, University of Melbourne)

  • Mezzetti, Claudio

    (School of Economics, University of Queensland)

Abstract

We consider general asset market environments in which agents with quasilinear payoffs are endowed with objects and have demands for other agents' objects. We show that if all agents have a maximum demand of one object and are endowed with at most one object, the VCG transfer of each agent is equal to the largest net Walrasian price of this agent. Consequently, the VCG deficit is equal to the sum of the largest net Walrasian prices over all agents. Generally, whenever Walrasian prices exist, the sum of the largest net Walrasian prices is a non-negative lower bound for the deficit, implying that no dominant-strategy mechanism runs a budget surplus while respecting agents' ex post individual rationality constraints.

Suggested Citation

  • Delacrétaz, David & Loertscher, Simon & Mezzetti, Claudio, 2022. "When Walras meets Vickrey," Theoretical Economics, Econometric Society, vol. 17(4), November.
    • Handle: RePEc:the:publsh:4296
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20221803/35315/1048
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Makowski, Louis & Ostroy, Joseph M, 1995. "Appropriation and Efficiency: A Revision of the First Theorem of Welfare Economics," American Economic Review, American Economic Association, vol. 85(4), pages 808-827, September.
    2. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    3. Steven R. Williams, 1999. "A characterization of efficient, bayesian incentive compatible mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 155-180.
    4. Makowski, Louis & Ostroy, Joseph M., 1987. "Vickrey-Clarke-Groves mechanisms and perfect competition," Journal of Economic Theory, Elsevier, vol. 42(2), pages 244-261, August.
    5. Lu, Hu & Robert, Jacques, 2001. "Optimal Trading Mechanisms with Ex Ante Unidentified Traders," Journal of Economic Theory, Elsevier, vol. 97(1), pages 50-80, March.
    6. Makowski Louis & Mezzetti Claudio, 1993. "The Possibility of Efficient Mechanisms for Trading an Indivisible Object," Journal of Economic Theory, Elsevier, vol. 59(2), pages 451-465, April.
    7. Ilya Segal & Michael D. Whinston, 2016. "Property Rights and the Efficiency of Bargaining," Journal of the European Economic Association, European Economic Association, vol. 14(6), pages 1287-1328.
    8. Ilya Segal & Michael D. Whinston, 2016. "Property Rights And The Efficiency Of Bargaining," Journal of the European Economic Association, European Economic Association, vol. 14(6), pages 1287-1328, December.
    9. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    10. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    11. 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.
    12. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    13. Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
    14. Tymon Tatur, 2005. "On the Trade off Between Deficit and Inefficiency and the Double Auction with a Fixed Transaction Fee," Econometrica, Econometric Society, vol. 73(2), pages 517-570, March.
    15. Chen, Yi-Chun & Li, Jiangtao, 2018. "Revisiting the foundations of dominant-strategy mechanisms," Journal of Economic Theory, Elsevier, vol. 178(C), pages 294-317.
    16. Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.
    17. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    18. Milgrom, Paul & Strulovici, Bruno, 2009. "Substitute goods, auctions, and equilibrium," Journal of Economic Theory, Elsevier, vol. 144(1), pages 212-247, January.
    19. Loertscher, Simon & Marx, Leslie M., 2020. "A dominant-strategy asset market mechanism," Games and Economic Behavior, Elsevier, vol. 120(C), pages 1-15.
    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. Simon Loertscher & Leslie M. Marx, 2023. "Bilateral Trade with Multiunit Demand and Supply," Management Science, INFORMS, vol. 69(2), pages 1146-1165, February.
    2. Loertscher, Simon & Marx, Leslie M., 2023. "Asymptotically optimal prior-free asset market mechanisms," Games and Economic Behavior, Elsevier, vol. 137(C), pages 68-90.

    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. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    2. Satoru Fujishige & Zaifu Yang, 2020. "A Universal Dynamic Auction for Unimodular Demand Types: An Efficient Auction Design for Various Kinds of Indivisible Commodities," Discussion Papers 20/08, Department of Economics, University of York.
    3. Delacrétaz, David & Loertscher, Simon & Marx, Leslie M. & Wilkening, Tom, 2019. "Two-sided allocation problems, decomposability, and the impossibility of efficient trade," Journal of Economic Theory, Elsevier, vol. 179(C), pages 416-454.
    4. Loertscher, Simon & Marx, Leslie M., 2020. "A dominant-strategy asset market mechanism," Games and Economic Behavior, Elsevier, vol. 120(C), pages 1-15.
    5. Kazuo Murota, 2016. "Discrete convex analysis: A tool for economics and game theory," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 151-273, December.
    6. Jinpeng Ma & Qiongling Li, 2016. "Convergence of price processes under two dynamic double auctions," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 1-44, December.
    7. 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.
    8. Wellman, Michael P. & Walsh, William E. & Wurman, Peter R. & MacKie-Mason, Jeffrey K., 2001. "Auction Protocols for Decentralized Scheduling," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 271-303, April.
    9. Elizabeth Baldwin & Omer Edhan & Ravi Jagadeesan & Paul Klemperer & Alexander Teytelboym, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," Papers 2006.16939, arXiv.org.
    10. Ravi Jagadeesan & Scott Duke Kominers & Ross Rheingans-Yoo, 2020. "Lone wolves in competitive equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 215-228, August.
    11. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    12. Paul Milgrom, 2009. "Assignment Messages and Exchanges," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 95-113, August.
    13. Zhiling Guo & Gary J. Koehler & Andrew B. Whinston, 2012. "A Computational Analysis of Bundle Trading Markets Design for Distributed Resource Allocation," Information Systems Research, INFORMS, vol. 23(3-part-1), pages 823-843, September.
    14. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    15. Daske, Thomas, 2019. "Efficient Incentives in Social Networks: "Gamification" and the Coase Theorem," EconStor Preprints 193148, ZBW - Leibniz Information Centre for Economics.
    16. Chao Huang, 2022. "Firm-worker hypergraphs," Papers 2211.06887, arXiv.org, revised Nov 2023.
    17. Peters, Michael & Severinov, Sergei, 2006. "Internet auctions with many traders," Journal of Economic Theory, Elsevier, vol. 130(1), pages 220-245, September.
    18. Lehmann, Daniel, 2020. "Quality of local equilibria in discrete exchange economies," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 141-152.
    19. Lawrence M. Ausubel & Peter Cramton & Wynne P. Jones, 2012. "System and Method for an Auction of Multiple Types of Items," Papers of Peter Cramton 11acjam, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
    20. Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.

    More about this item

    Keywords

    Asset markets; efficient trade; VCG deficit; largest net Walrasian prices;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

    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:the:publsh:4296. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.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.