IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v63y2017i1d10.1007_s00199-016-0970-7.html
   My bibliography  Save this article

Designing a strategyproof spot market mechanism with many traders: twenty-two steps to Walrasian equilibrium

Author

Listed:
  • Peter J. Hammond

    (University of Warwick)

Abstract

To prove their Walrasian equilibrium existence theorem, Arrow and Debreu (Econometrica 22(3):265–290, 1954) devised an abstract economy that Shapley and Shubik (J Polit Econ 85:937–968, 1977) criticized as a market game because, especially with untrustworthy traders, it fails to determine a credible outcome away from equilibrium. All this earlier work also postulated a Walrasian auctioneer with complete information about traders’ preferences and endowments. To ensure credible outcomes, even in disequilibrium, warehousing is introduced into a multistage market game. To achieve Walrasian outcomes in a large economy with incomplete information, even about traders’ endowments, a strategyproof demand revelation mechanism is considered and then extended to include warehousing.

Suggested Citation

  • Peter J. Hammond, 2017. "Designing a strategyproof spot market mechanism with many traders: twenty-two steps to Walrasian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 1-50, January.
    • Handle: RePEc:spr:joecth:v:63:y:2017:i:1:d:10.1007_s00199-016-0970-7
    DOI: 10.1007/s00199-016-0970-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-016-0970-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00199-016-0970-7?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. Dubey, Pradeep & Kaneko, Mamoru, 1985. "Information patterns and Nash equilibria in extensive games -- II," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 247-262, December.
    2. Andrew Postlewaite, 1979. "Manipulation via Endowments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 255-262.
    3. Hart, Sergiu & Hildenbrand, Werner & Kohlberg, Elon, 1974. "On equilibrium allocations as distributions on the commodity space," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 159-166, August.
    4. K. J. Arrow & M.D. Intriligator (ed.), 1993. "Handbook of Mathematical Economics," Handbook of Mathematical Economics, Elsevier, edition 4, volume 2, number 2.
    5. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    6. Ben Polak, 1999. "Epistemic Conditions for Nash Equilibrium, and Common Knowledge of Rationality," Econometrica, Econometric Society, vol. 67(3), pages 673-676, May.
    7. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    8. Yamazaki, Akira, 1978. "An Equilibrium Existence Theorem without Convexity Assumptions," Econometrica, Econometric Society, vol. 46(3), pages 541-555, May.
    9. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    10. Peter Hammond & Yeneng Sun, 2008. "Monte Carlo simulation of macroeconomic risk with a continuum of agents: the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 303-325, August.
    11. Serizawa, Shigehiro & Weymark, John A., 2003. "Efficient strategy-proof exchange and minimum consumption guarantees," Journal of Economic Theory, Elsevier, vol. 109(2), pages 246-263, April.
    12. Dubey, Pradeep & Geanakoplos, John, 2003. "From Nash to Walras via Shapley-Shubik," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 391-400, July.
    13. Peter J. Hammond, 1987. "Markets as Constraints: Multilateral Incentive Compatibility in Continuum Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 399-412.
    14. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    15. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    16. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    17. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, July.
    18. Keisler, H Jerome, 1996. "Getting to a Competitive Equilibrium," Econometrica, Econometric Society, vol. 64(1), pages 29-49, January.
    19. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    20. Yamazaki, Akira, 1981. "Diversified Consumption Characteristics and Conditionally Dispersed Endowment Distribution: Regularizing Effect and Existence of Equilibria," Econometrica, Econometric Society, vol. 49(3), pages 639-654, May.
    21. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-1115, September.
    22. Partha Dasgupta & Douglas Gale & Oliver Hart & Eric Maskin (ed.), 1992. "Economic Analysis of Markets and Games: Essays in Honor of Frank Hahn," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262541599, December.
    23. Keisler, H Jerome, 1995. "Approximate Tatonnement Processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 127-173, January.
    24. Serizawa, Shigehiro, 2002. "Inefficiency of Strategy-Proof Rules for Pure Exchange Economies," Journal of Economic Theory, Elsevier, vol. 106(2), pages 219-241, October.
    25. Ali Khan, M. & Yamazaki, Akira, 1981. "On the cores of economies with indivisible commodities and a continuum of traders," Journal of Economic Theory, Elsevier, vol. 24(2), pages 218-225, 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. Wang, Xu & Zhu, Lei & Liu, Pengfei, 2021. "Manipulation via endowments: Quantifying the influence of market power on the emission trading scheme," Energy Economics, Elsevier, vol. 103(C).

    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. Mongin, Philippe, 2019. "Interview of Peter J. Hammond," CRETA Online Discussion Paper Series 50, Centre for Research in Economic Theory and its Applications CRETA.
    2. repec:cte:werepe:we081207 is not listed on IDEAS
    3. Peter J. Hammond, "undated". "Multilaterally Strategy-Proof Mechanisms in Random Aumann--Hildenbrand Macroeconomies," Working Papers 97022, Stanford University, Department of Economics.
    4. Dilip Mookherjee, 2008. "The 2007 Nobel Memorial Prize in Mechanism Design Theory," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(2), pages 237-260, June.
    5. Hammond, Peter J, 2018. "Allocation Mechanisms, Incentives, and Endemic Institutional Externalities," CRETA Online Discussion Paper Series 42, Centre for Research in Economic Theory and its Applications CRETA.
    6. Peter J. Hammond & Jaume Sempere, 2006. "Gains from Trade versus Gains from Migration: What Makes Them So Different?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 145-170, January.
    7. Jaume Sempere, 2022. "On potential Pareto gains from free trade areas formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1502-1518, December.
    8. Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.
    9. Martin Hellwig, 2004. "Optimal Income Taxation, Public-Goods Provision and Public-Sector Pricing: A Contribution to the Foundations of Public Economics," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2004_14, Max Planck Institute for Research on Collective Goods.
    10. Page, Frank Jr. & Monteiro, Paulo K., 2003. "Three principles of competitive nonlinear pricing," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 63-109, February.
    11. Yoon, Kiho, 2008. "The participatory Vickrey-Clarke-Groves mechanism," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 324-336, February.
    12. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    13. Carlos E. da Costa & Lucas J. Maestri, 2019. "Optimal Mirrleesian taxation in non-competitive labor markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 845-886, November.
    14. Hellwig, Martin F., 2007. "The provision and pricing of excludable public goods: Ramsey-Boiteux pricing versus bundling," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 511-540, April.
    15. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    16. Peter J. Hammond & Lei Qiao & Yeneng Sun, 2021. "Monte Carlo sampling processes and incentive compatible allocations in large economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1161-1187, April.
    17. Van Damme, E., 1990. "Fair Division Under Asymmetric Information," Papers 9070, Tilburg - Center for Economic Research.
    18. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875.
    19. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. Matthews, Steven A. & Postlewaite, Andrew, 1989. "Pre-play communication in two-person sealed-bid double auctions," Journal of Economic Theory, Elsevier, vol. 48(1), pages 238-263, June.
    21. Cho, Wonki Jo, 2014. "Impossibility results for parametrized notions of efficiency and strategy-proofness in exchange economies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 26-39.

    More about this item

    Keywords

    Market design; Demand revelation; Strategyproofness; Hidden endowments; Warehousing;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    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:spr:joecth:v:63:y:2017:i:1:d:10.1007_s00199-016-0970-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.