IDEAS home Printed from https://ideas.repec.org/p/cla/levrem/843644000000000137.html
   My bibliography  Save this paper

The Full Surplus Extraction Theorem with Hidden Actions

Author

Listed:
  • Ichiro Obara

Abstract

Consider a situation in which a principal commits to a mechanism first and then agents choose unobservable actions before their payoff-relevant types are realized. The agents' actions may affect not only their payoffs directly but also the distribution of their types as well. This paper extends Crémer and McLean's full surplus extraction theorem to such a setting. In this environment, it is shown that a principal may not succeed in extracting full surplus from agents when there are many actions to which the agents can deviate.However, it is also shown that a principal can extract full surplus generically given any approximately efficient (completely) mixed action profile. This is achieved by using a general mechanism where agents announce both their types and their realized actions. Therefore, with hidden actions, there is a big gap between exact full surplus extraction and approximate full surplus extraction.
(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 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.)

Suggested Citation

  • Ichiro Obara, 2007. "The Full Surplus Extraction Theorem with Hidden Actions," Levine's Bibliography 843644000000000137, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:843644000000000137
    as

    Download full text from publisher

    File URL: http://www.econ.ucla.edu/people/papers/Obara/Obara374.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Neeman, Zvika, 2004. "The relevance of private information in mechanism design," Journal of Economic Theory, Elsevier, vol. 117(1), pages 55-77, July.
    2. Michihiro Kandori & Ichiro Obara, 2006. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Econometrica, Econometric Society, vol. 74(2), pages 499-519, March.
    3. Cremer, Jacques & Khalil, Fahad, 1992. "Gathering Information before Signing a Contract," American Economic Review, American Economic Association, vol. 82(3), pages 566-578, June.
    4. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    5. Cremer, Jacques & Khalil, Fahad & Rochet, Jean-Charles, 1998. "Strategic Information Gathering before a Contract Is Offered," Journal of Economic Theory, Elsevier, vol. 81(1), pages 163-200, July.
    6. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, January.
    7. Cremer, Jacques & Khalil, Fahad & Rochet, Jean-Charles, 1998. "Contracts and Productive Information Gathering," Games and Economic Behavior, Elsevier, vol. 25(2), pages 174-193, November.
    8. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    9. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," Econometrica, Econometric Society, vol. 73(6), pages 1771-1813, November.
    10. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273 World Scientific Publishing Co. Pte. Ltd..
    11. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    12. Martinelli, Cesar, 2006. "Would rational voters acquire costly information?," Journal of Economic Theory, Elsevier, vol. 129(1), pages 225-251, July.
    13. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    14. repec:wsi:wschap:9789814374590_0009 is not listed on IDEAS
    15. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    16. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 2004. "Balanced Bayesian mechanisms," Journal of Economic Theory, Elsevier, vol. 115(2), pages 385-396, April.
    17. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 1-18.
    18. Lewis, Tracy R & Sappington, David E M, 1997. "Information Management in Incentive Problems," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 796-821, August.
    19. Piccione, Michele & Tan, Guofu, 1996. "Cost-Reducing Investment, Optimal Procurement and Implementation by Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(3), pages 663-685, August.
    20. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    21. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters,in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356 World Scientific Publishing Co. Pte. Ltd..
    22. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    23. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    24. d'Aspremont, C. & Gerard-Varet, L. -A., 1982. "Bayesian incentive compatible beliefs," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 83-103, June.
    25. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    26. Mailath George J. & Matthews Steven A. & Sekiguchi Tadashi, 2002. "Private Strategies in Finitely Repeated Games with Imperfect Public Monitoring," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-23, June.
    27. Partha Dasgupta & Peter Hammond & Eric Maskin, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 185-216.
    28. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
    29. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    30. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    31. Aoyagi, Masaki, 1998. "Correlated Types and Bayesian Incentive Compatible Mechanisms with Budget Balance," Journal of Economic Theory, Elsevier, vol. 79(1), pages 142-151, March.
    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. McLean, Richard & Postlewaite, Andrew, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Ichiro Obara, "undated". "Approximate Implementability with Ex Post Budget Balance (Joint with D. Rahman)," UCLA Economics Online Papers 399, UCLA Department of Economics.
    3. Vasiliki Skreta, 2011. "On the informed seller problem: optimal information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 15(1), pages 1-36, March.
    4. David Rahman, 2012. "But Who Will Monitor the Monitor?," American Economic Review, American Economic Association, vol. 102(6), pages 2767-2797, October.
    5. Ichiro Obara & David Rahman, 2006. "Approximate Implementability with Ex Post Budget Balance," Levine's Bibliography 321307000000000280, UCLA Department of Economics.
    6. Hitoshi Matsushima & Shunya Noda, 2017. "Mechanism Design in Hidden Action and Hidden Information: Richness and Pure-VCG," CIRJE F-Series CIRJE-F-1057, CIRJE, Faculty of Economics, University of Tokyo.
    7. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
    8. Michihiro Kandori & Ichiro Obara, 2006. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Econometrica, Econometric Society, vol. 74(2), pages 499-519, March.
    9. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    10. Dirk Bergemann & Xianwen Shi & Juuso Valimaki, 2009. "Information Acquisition in Interdependent Value Actions," Journal of the European Economic Association, MIT Press, vol. 7(1), pages 61-89, March.
    11. Hitoshi Matsushima & Shunya Noda, 2017. "Mechanism Design in Hidden Action and Hidden Information: Richness and Pure-VCG (Revised version of F-386)," CARF F-Series CARF-F-415, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    12. Daniel Kraehmer, 2018. "Full surplus extraction in mechanism design with information disclosure," CRC TR 224 Discussion Paper Series crctr224_011_2018, University of Bonn and University of Mannheim, Germany.
    13. Pancs, Romans, 2013. "Sequential negotiations with costly information acquisition," Games and Economic Behavior, Elsevier, vol. 82(C), pages 522-543.
    14. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    15. Ichiro Obara, 2004. "Efficiency in Repeated Games Revisited: The Role of Private Strategies (with M. Kandori)," UCLA Economics Online Papers 281, UCLA Department of Economics.
    16. Hitoshi Matsushima & Shunya Noda, 2016. "Mechanism Design in Hidden Action and Hidden Information: Richness and Pure Groves," CIRJE F-Series CIRJE-F-1015, CIRJE, Faculty of Economics, University of Tokyo.
    17. Johannes Hörner & Satoru Takahashi & Nicolas Vieille, 2015. "Truthful Equilibria in Dynamic Bayesian Games," Econometrica, Econometric Society, vol. 83(5), pages 1795-1848, September.
    18. Sushil Bikhchandani & Ichiro Obara, 2017. "Mechanism design with information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 783-812, March.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:cla:levrem:843644000000000137. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David K. Levine). General contact details of provider: http://www.dklevine.com/ .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.