IDEAS home Printed from https://ideas.repec.org/p/cla/levrem/122247000000001206.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, 2006. "The Full Surplus Extraction Theorem with Hidden Actions," Levine's Bibliography 122247000000001206, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:122247000000001206
    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. Cremer, Jacques & Khalil, Fahad, 1992. "Gathering Information before Signing a Contract," American Economic Review, American Economic Association, vol. 82(3), pages 566-578, June.
    3. 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.
    4. 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.
    5. 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.
    6. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    7. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    8. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    9. Martinelli, Cesar, 2006. "Would rational voters acquire costly information?," Journal of Economic Theory, Elsevier, vol. 129(1), pages 225-251, July.
    10. 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.
    11. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    12. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    13. 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.
    14. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 1-18.
    15. 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.
    16. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    17. 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.
    18. 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.
    19. 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..
    20. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    21. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    22. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    23. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    24. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
    25. 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.
    26. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    27. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    28. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    29. MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    30. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    31. d'Aspremont, C. & Gerard-Varet, L. -A., 1982. "Bayesian incentive compatible beliefs," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 83-103, June.
    32. 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.
    33. Parreiras, Sergio O., 2005. "Correlated information, mechanism design and informational rents," Journal of Economic Theory, Elsevier, vol. 123(2), pages 210-217, August.
    34. 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.
    35. 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.
    36. Tan, Guofu, 1992. "Entry and R & D in procurement contracting," Journal of Economic Theory, Elsevier, vol. 58(1), pages 41-60, October.
    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. , & ,, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Hitoshi Matsushima & Shunya Noda, 2019. "Mechanism Design with General Ex-Ante Investments (Revised version of F415 )," CARF F-Series CARF-F-464, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Ichiro Obara, "undated". "Approximate Implementability with Ex Post Budget Balance (Joint with D. Rahman)," UCLA Economics Online Papers 399, UCLA Department of Economics.
    4. 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.
    5. David Rahman, 2012. "But Who Will Monitor the Monitor?," American Economic Review, American Economic Association, vol. 102(6), pages 2767-2797, October.
    6. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
    7. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    8. 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.
    9. Krähmer, Daniel, 2020. "Information disclosure and full surplus extraction in mechanism design," Journal of Economic Theory, Elsevier, vol. 187(C).
    10. Herweg, Fabian & Schmidt, Klaus M., 2020. "Bayesian implementation and rent extraction in a multi-dimensional procurement problem," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    11. Pancs, Romans, 2013. "Sequential negotiations with costly information acquisition," Games and Economic Behavior, Elsevier, vol. 82(C), pages 522-543.
    12. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    13. 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.
    14. Matsushima, Hitoshi & Noda, Shunya, 2023. "Mechanism design with general ex-ante investments," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    15. 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.
    16. Noda, Shunya, 2019. "Full surplus extraction and within-period ex post implementation in dynamic environments," Theoretical Economics, Econometric Society, vol. 14(1), January.
    17. Tomoeda, Kentaro, 2019. "Efficient investments in the implementation problem," Journal of Economic Theory, Elsevier, vol. 182(C), pages 247-278.
    18. Johannes Hörner & Satoru Takahashi & Nicolas Vieille, 2015. "Truthful Equilibria in Dynamic Bayesian Games," Econometrica, Econometric Society, vol. 83(5), pages 1795-1848, September.
    19. 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.
    20. 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.
    21. 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.
    22. Ichiro Obara & David Rahman, 2006. "Approximate Implementability with Ex Post Budget Balance," Levine's Bibliography 321307000000000280, UCLA Department of Economics.
    23. 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.
    24. 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.
    25. Awaya, Yu & Do, Jihwan, 2022. "Incentives under equal-pay constraint and subjective peer evaluation," Games and Economic Behavior, Elsevier, vol. 135(C), pages 41-59.

    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, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    2. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design: An Introduction," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 1, pages 1-48, World Scientific Publishing Co. Pte. Ltd..
    3. Matsushima, Hitoshi & Noda, Shunya, 2023. "Mechanism design with general ex-ante investments," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    4. Miller, Nolan H. & Pratt, John W. & Zeckhauser, Richard J. & Johnson, Scott, 2007. "Mechanism design with multidimensional, continuous types and interdependent valuations," Journal of Economic Theory, Elsevier, vol. 136(1), pages 476-496, September.
    5. Hitoshi Matsushima & Shunya Noda, 2019. "Mechanism Design with General Ex-Ante Investments (Revised version of F415 )," CARF F-Series CARF-F-464, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. 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.
    7. Claude d'Aspremont & Jacques Crémer & Louis-André Gérard-Varet, 2003. "Correlation, independence, and Bayesian incentives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 281-310, October.
    8. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
    9. Johnson, Scott & Miller, Nolan & Pratt, John W. & Zeckhauser, Richard, 2003. "Efficient Design with Multidimensional, Continuous Types, and Interdependent Valuations," Working Paper Series rwp03-020, Harvard University, John F. Kennedy School of Government.
    10. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    11. Jacques Crémer & Yossi Spiegel & Charles Zheng, 2009. "Auctions with costly information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 41-72, January.
    12. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    13. Jacques Cremer & Yossi Spiegel & Charles Z. Zheng, 2004. "Auctions with costly information acquisition Constrained Bidders," Discussion Papers 1420, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Guo, Huiyi, 2019. "Mechanism design with ambiguous transfers: An analysis in finite dimensional naive type spaces," Journal of Economic Theory, Elsevier, vol. 183(C), pages 76-105.
    15. 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.
    16. Krajbich, Ian & Camerer, Colin & Rangel, Antonio, 2017. "Exploring the scope of neurometrically informed mechanism design," Games and Economic Behavior, Elsevier, vol. 101(C), pages 49-62.
    17. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
    18. Martin Hellwig, 2015. "Financial Stability and Monetary Policy," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_10, Max Planck Institute for Research on Collective Goods.
    19. Iossa, Elisabetta & Martimort, David, 2015. "Pessimistic information gathering," Games and Economic Behavior, Elsevier, vol. 91(C), pages 75-96.
    20. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.

    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:122247000000001206. 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: David K. Levine (email available below). General contact details of provider: http://www.dklevine.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.