IDEAS home Printed from https://ideas.repec.org/p/unm/umamet/2005037.html
   My bibliography  Save this paper

Switching from complete to incomplete information

Author

Listed:
  • Bochet, O.L.A.

    (Microeconomics & Public Economics)

Abstract

We construct an elementary mechanism (Dutta, Sen and Vohra (1995)) that Nash implements the Constrained Walrasian correspondence. We extend it to incomplete and non-exclusive information economies by enlarging the message space of agents. We characterize the set of Bayesian equilibrium outcomes of the mechanism, and thus characterize an extension of the Constrained Walrasian correspondence when one switches from complete to incomplete information. First, measurability restrictions on allocations do not emerge from the strategic behavior of agents: there exist simple economies for which the set of Constrained Rational Expectations equilibrium allocations is not contained in the set of equilibrium outcomes of the mechanism. Next, by imposing measurability restrictions on allocations, the mechanism globally implements the Constrained Rational Expectations Equilibrium correspondence. This result shows game-theoretic connections between these two market equilibrium concepts. However, it is obtained at the price of strong restrictions on the behavior of agents.price of strong restrictions on the behavior of agents.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another ve
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bochet, O.L.A., 2005. "Switching from complete to incomplete information," Research Memorandum 037, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2005037
    DOI: 10.26481/umamet.2005037
    as

    Download full text from publisher

    File URL: https://cris.maastrichtuniversity.nl/ws/files/774628/guid-59365f4e-1eaa-44a6-9aed-f7f99b2041fb-ASSET1.0.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.26481/umamet.2005037?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-134, January.
    2. Thomas R. Palfrey & Sanjay Srivastava, 1987. "On Bayesian Implementable Allocations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(2), pages 193-208.
    3. Motta, Massimo & Polo, Michele, 2003. "Leniency programs and cartel prosecution," International Journal of Industrial Organization, Elsevier, vol. 21(3), pages 347-379, March.
    4. repec:bla:econom:v:71:y:2004:i:283:p:333-348 is not listed on IDEAS
    5. Forges, Francoise & Minelli, Enrico, 1997. "Self-Fulfilling Mechanisms and Rational Expectations," Journal of Economic Theory, Elsevier, vol. 75(2), pages 388-406, August.
    6. Jeroen Hinloopen & Adriaan Soetevent, 2006. "Trust and Recidivism; the Partial Success of Corporate Leniency Program in the Laboratory," Tinbergen Institute Discussion Papers 06-067/1, Tinbergen Institute.
    7. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    8. Harrington, Joseph Jr. & Chen, Joe, 2006. "Cartel pricing dynamics with cost variability and endogenous buyer detection," International Journal of Industrial Organization, Elsevier, vol. 24(6), pages 1185-1212, November.
    9. Piero Gottardi & Roberto Serrano, 2005. "Market Power And Information Revelation In Dynamic Trading," Journal of the European Economic Association, MIT Press, vol. 3(6), pages 1279-1317, December.
    10. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    11. Laffont, Jean-Jacques M, 1985. "On the Welfare Analysis of Rational Expectations Equilibria with Asymmetric Information," Econometrica, Econometric Society, vol. 53(1), pages 1-29, January.
    12. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-477, March.
    13. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    14. 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.
    15. Motchenkova, E., 2004. "Effects of Leniency Programs on Cartel Stability," Other publications TiSEM 20443b22-326b-4ff4-b785-0, Tilburg University, School of Economics and Management.
    16. Serrano, Roberto, 2002. "Decentralized information and the Walrasian outcome: a pairwise meetings market with private values," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 65-89, September.
    17. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 217-225.
    18. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    19. Wettstein, David, 1990. "Continuous implementation of constrained rational expectations equilibria," Journal of Economic Theory, Elsevier, vol. 52(1), pages 208-222, October.
    20. Livernois, John & McKenna, C. J., 1999. "Truth or consequences: Enforcing pollution standards with self-reporting," Journal of Public Economics, Elsevier, vol. 71(3), pages 415-440, March.
    21. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
    22. repec:dau:papers:123456789/12327 is not listed on IDEAS
    23. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 603-611.
    24. Hinloopen, Jeroen, 2006. "Internal cartel stability with time-dependent detection probabilities," International Journal of Industrial Organization, Elsevier, vol. 24(6), pages 1213-1229, November.
    25. Kaplow, Louis & Shavell, Steven, 1994. "Optimal Law Enforcement with Self-Reporting of Behavior," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 583-606, June.
    26. Codognato, Giulio & Ghosal, Sayantan, 2003. "Self-fulfilling mechanisms and rational expectations in large markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 421-431, July.
    27. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 173-203, December.
    28. Joseph E. Harrington, Jr, 2005. "Optimal Corporate Leniency Programs," Economics Working Paper Archive 527, The Johns Hopkins University,Department of Economics.
    29. Joseph E. Harrington, 2005. "Optimal Cartel Pricing In The Presence Of An Antitrust Authority," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(1), pages 145-169, February.
    30. Spagnolo, Giancarlo, 2006. "Leniency and Whistleblowers in Antitrust," CEPR Discussion Papers 5794, C.E.P.R. Discussion Papers.
    31. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-1593, November.
    32. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
    33. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
    34. Margaret C. Levenstein & Valerie Y. Suslow, 2002. "What Determines Cartel Success?," UMASS Amherst Economics Working Papers 2002-01, University of Massachusetts Amherst, Department of Economics.
    35. Dubey, Pradeep & Geanakoplos, John & Shubik, Martin, 1987. "The revelation of information in strategic market games : A critique of rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 105-137, April.
    36. Aubert, Cecile & Rey, Patrick & Kovacic, William E., 2006. "The impact of leniency and whistle-blowing programs on cartels," International Journal of Industrial Organization, Elsevier, vol. 24(6), pages 1241-1266, 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. Bochet, Olivier & Maniquet, François, 2010. "Virtual Nash implementation with admissible support," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 99-108, January.
    2. Bochet, O.L.A., 2006. "Equal-budget choice equivalent solutions in exchange economies," Research Memorandum 025, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    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. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    2. Feess, E. & Walzl, M., 2008. "Quid-pro-quo or winner-takes-it-all? : an analysis of corporate leniency programs and lessons to learn for EU and US policies," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    4. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    5. Yusuke Kamishiro & Roberto Serrano, 2009. "Equilibrium blocking in large quasilinear economies," Working Papers 2009-12, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    6. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    7. Peck, James, 2014. "A battle of informed traders and the market game foundations for rational expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 88(C), pages 153-173.
    8. Palm, F.C. & Gengenbach, C. & Urbain, J.R.Y.J., 2004. "Panel unit root tests in the presence of cross-1 sectional dependencies: comparison and implications for medelling," Research Memorandum 039, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. Tian, Guoqiang, 1997. "Virtual implementation in incomplete information environments with infinite alternatives and types," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 313-339, October.
    10. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    11. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    12. Huang, Xuesong, 2021. "Incentive compatible self-fulfilling mechanisms and rational expectations," Games and Economic Behavior, Elsevier, vol. 126(C), pages 100-135.
    13. Forges, Francoise & Minelli, Enrico, 1998. "Self-Fulfilling Mechanisms in Bayesian Games," Games and Economic Behavior, Elsevier, vol. 25(2), pages 292-310, November.
    14. Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 131-151, September.
    15. Houba Harold & Motchenkova Evgenia & Wen Quan, 2015. "The Effects of Leniency on Cartel Pricing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 15(2), pages 351-389, July.
    16. Forges, Francoise & Minelli, Enrico, 1997. "Self-Fulfilling Mechanisms and Rational Expectations," Journal of Economic Theory, Elsevier, vol. 75(2), pages 388-406, August.
    17. Norman, Thomas W.L., 2020. "The evolution of monetary equilibrium," Games and Economic Behavior, Elsevier, vol. 122(C), pages 233-239.
    18. Giraud, Gael & Stahn, Hubert, 2003. "Efficiency and imperfect competition with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 559-583, July.
    19. Buccirossi, Paolo & Spagnolo, Giancarlo, 2006. "Leniency policies and illegal transactions," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1281-1297, August.
    20. Rene Saran & Norovsambuu Tumennasan, 2015. "Implementation by Sortition in Nonexclusive Information Economies," Economics Working Papers 2015-13, Department of Economics and Business Economics, Aarhus University.

    More about this item

    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:unm:umamet:2005037. 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: Andrea Willems or Leonne Portz (email available below). General contact details of provider: https://edirc.repec.org/data/meteonl.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.