IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v36y1998i3p185-212.html
   My bibliography  Save this article

Asymptotically strategy-proof Walrasian exchange

Author

Listed:
  • Cordoba, Jose M.
  • Hammond, Peter J.

Abstract

February 1998 In smooth exchange economies with a continuum of agents, any Walrasian mechanism is Pareto efficient, individually rational, anonymous, and strategy-proof. Barberà and Jackson's (1995) results imply that no such efficient mechanism is the limit of resource-balanced, individually rational, anonymous and non-bossy strategy-proof allocation mechanisms for an expanding sequence of finite economies. For a broad class of smooth random exchange economies, relaxing anonymity and non-bossiness admits mechanisms which, as the economy becomes infinitely large, are asymptotically Walrasian for all except one ``balancing'' agent, while being manipulable with generically vanishing probability. Also considered are some extensions to non-Walrasian mechanisms. JEL classification: D82, D61, D5 Keywords: strategy-proofness, mechanism design, random economies, Walrasian equilibrium.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Cordoba, Jose M. & Hammond, Peter J., 1998. "Asymptotically strategy-proof Walrasian exchange," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 185-212, December.
  • Handle: RePEc:eee:matsoc:v:36:y:1998:i:3:p:185-212
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-4896(98)00038-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Rob, Rafael, 1982. "Asymptotic efficiency of the demand revealing mechanism," Journal of Economic Theory, Elsevier, vol. 28(2), pages 207-220, December.
    2. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    3. Back, Kerry, 1986. "Concepts of similarity for utility functions," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 129-142, April.
    4. Jackson, Matthew O. & Manelli, Alejandro M., 1997. "Approximately Competitive Equilibria in Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 77(2), pages 354-376, December.
    5. Paul Champsaur & Guy Laroque, 1982. "A Note on Incentives in Large Economies," Review of Economic Studies, Oxford University Press, vol. 49(4), pages 627-635.
    6. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    7. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
    8. Kovalenkov, Alexander, 2002. "Simple Strategy-Proof Approximately Walrasian Mechanisms," Journal of Economic Theory, Elsevier, vol. 103(2), pages 475-487, April.
    9. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-127, January.
    10. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 263-282.
    11. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830, Elsevier.
    12. Champsaur, Paul & Laroque, Guy, 1981. "Fair allocations in large economies," Journal of Economic Theory, Elsevier, vol. 25(2), pages 269-282, October.
    13. Andreu Mas-Colell & Xavier Vives, 1993. "Implementation in Economies with a Continuum of Agents," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 613-629.
    14. Bhattacharya, Rabindra Nath & Majumdar, Mukul, 1973. "Random exchange economies," Journal of Economic Theory, Elsevier, vol. 6(1), pages 37-67, February.
    15. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457, Elsevier.
    16. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
    17. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
    18. Wilson, Robert B, 1978. "Competitive Exchange," Econometrica, Econometric Society, vol. 46(3), pages 577-585, May.
    19. Mitsui, Toshihide, 1983. "Asymptotic efficiency of the pivotal mechanism with general project space," Journal of Economic Theory, Elsevier, vol. 31(2), pages 318-331, December.
    20. Weller, Paul A., 1982. "The speed of convergence of prices in random exchange economies," Journal of Economic Theory, Elsevier, vol. 28(1), pages 71-81, October.
    21. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    22. Egbert Dierker & Hans Haller, 1990. "Tax systems and direct mechanisms in large finite economies," Journal of Economics, Springer, vol. 52(2), pages 99-116, June.
    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. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Gary-Bobo, Robert J. & Jaaidane, Touria, 2000. "Polling mechanisms and the demand revelation problem," Journal of Public Economics, Elsevier, vol. 76(2), pages 203-238, May.
    3. Kojima, Fuhito & Yamashita, Takuro, 2017. "Double auction with interdependent values: incentives and efficiency," Theoretical Economics, Econometric Society, vol. 12(3), September.
    4. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    5. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    6. Kovalenkov, Alexander, 2002. "Simple Strategy-Proof Approximately Walrasian Mechanisms," Journal of Economic Theory, Elsevier, vol. 103(2), pages 475-487, April.
    7. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Least manipulable Envy-free rules in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 43-49.
    8. Matthew Jackson & Ilan Kremer, 2007. "Envy-freeness and implementation in large economies," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 185-198, November.
    9. Ehlers, Lars & Peters, Hans & Storcken, Ton, 2004. "Threshold strategy-proofness: on manipulability in large voting problems," Games and Economic Behavior, Elsevier, vol. 49(1), pages 103-116, October.
    10. Schummer, James, 2004. "Almost-dominant strategy implementation: exchange economies," Games and Economic Behavior, Elsevier, vol. 48(1), pages 154-170, July.
    11. Jackson, Matthew O. & Kremer, Ilan, 2004. "The relationship between the allocation of goods and a seller's revenue," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 371-392, June.

    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. Kovalenkov, Alexander, 2002. "Simple Strategy-Proof Approximately Walrasian Mechanisms," Journal of Economic Theory, Elsevier, vol. 103(2), pages 475-487, April.
    2. Louis Makowski & Joseph M. Ostroy, 1988. "Groves Mechanisms in Continuum Economies: Characterization and Existence," UCLA Economics Working Papers 518, UCLA Department of Economics.
    3. Makowski, Louis & Ostroy, Joseph M. & Segal, Uzi, 1999. "Efficient Incentive Compatible Economies Are Perfectly Competitive," Journal of Economic Theory, Elsevier, vol. 85(2), pages 169-225, April.
    4. Louis Makowski & Joseph M. Ostroy & Uzi Segal, 1995. "Perfect Competition as the Blueprint for Efficiency and Incentive Compatibility," UCLA Economics Working Papers 745, UCLA Department of Economics.
    5. Makowski, Louis & Ostroy, Joseph M., 1992. "Vickrey-Clarke-Groves mechanisms in continuum economies : Characterization and existence," Journal of Mathematical Economics, Elsevier, vol. 21(1), pages 1-35.
    6. Sahm, Marco, 2006. "Essays in Public Economic Theory," Munich Dissertations in Economics 5633, University of Munich, Department of Economics.
    7. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    8. Nehring, Klaus, 1998. "Incentive-compatibility in large games," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 57-67, January.
    9. Jackson, Matthew O. & Manelli, Alejandro M., 1997. "Approximately Competitive Equilibria in Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 77(2), pages 354-376, December.
    10. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    11. Guesnerie, R., 1995. "The genealogy of modern theoretical public economics: From first best to second best," European Economic Review, Elsevier, vol. 39(3-4), pages 353-381, April.
    12. Eduardo M Azevedo & Eric Budish, 2019. "Strategy-proofness in the Large," Review of Economic Studies, Oxford University Press, vol. 86(1), pages 81-116.
    13. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    14. Matthew Jackson & Ilan Kremer, 2007. "Envy-freeness and implementation in large economies," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 185-198, November.
    15. Harris Dellas & Klaus Nehring, 2003. "Incentive-Compatible And Efficient Resource Allocation In Large Economies: An Exact And Local Approach," Working Papers 213, University of California, Davis, Department of Economics.
    16. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng & Yu, Haomiao, 2013. "Large games with a bio-social typology," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1122-1149.
    17. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    18. Sun, Xiang & Sun, Yeneng & Wu, Lei & Yannelis, Nicholas C., 2017. "Equilibria and incentives in private information economies," Journal of Economic Theory, Elsevier, vol. 169(C), pages 474-488.
    19. Anderson, Robert M., 2010. "Core allocations and small income transfers," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 373-381, July.
    20. 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.

    More about this item

    Keywords

    strategy-proofness; mechanism design; random economies; walrasian equilibrium.
    (this abstract was borrowed from another version of this item.)
    ;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

    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:matsoc:v:36:y:1998:i:3:p:185-212. 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/505565 .

    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.