IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2005cf376.html
   My bibliography  Save this paper

Mechanism Design with Side Payments: Individual Rationality and Iterative Dominance

Author

Listed:
  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

Abstract

In this paper, we investigate the collective decision problem with incomplete information and side payments. We show that a direct mechanism associated with the social choice function that satisfies budget balancing, incentive compatibility, and interim individual rationality exists for generic prior distributions. We consider the possibility that a risk-averse principal extracts full surplus in agency problems with adverse selection. Additionally, with regard to generic prior distributions, we show that there exists a modified direct mechanism associated with the virtual social choice function, which satisfies budget balancing and interim individual rationality, such that truth telling is the unique three times iteratively undominated message rule profile.

Suggested Citation

  • Hitoshi Matsushima, 2005. "Mechanism Design with Side Payments: Individual Rationality and Iterative Dominance," CIRJE F-Series CIRJE-F-376, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2005cf376
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2005/2005cf376.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
    2. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    3. Roberto Serrano & Rajiv Vohra, 2000. "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics.
    4. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 1990. "Incentives and the existence of Pareto-optimal revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 51(2), pages 233-254, August.
    5. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    7. McAfee, R. Preston, 1991. "Efficient allocation with continuous quantities," Journal of Economic Theory, Elsevier, vol. 53(1), pages 51-74, February.
    8. Arya Anil & Glover Jonathan & Young Richard, 1995. "Virtual Implementation in Separable Bayesian Environments Using Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 9(2), pages 127-138, May.
    9. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    10. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-792, May.
    11. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    12. Cremer, Jacques, & Riordan, Michael H, 1985. "A Sequential Solution to the Public Goods Problem," Econometrica, Econometric Society, vol. 53(1), pages 77-84, January.
    13. Hitoshi Matsushima, 2004. "Non-Consequential Moral Preferences, Detail-Free Implementation, and Representative Systems," CIRJE F-Series CIRJE-F-304, CIRJE, Faculty of Economics, University of Tokyo.
    14. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
    15. Johnson, Scott & Pratt, John W & Zeckhauser, Richard J, 1990. "Efficiency Despite Mutually Payoff-Relevant Private Information: The Finite Case," Econometrica, Econometric Society, vol. 58(4), pages 873-900, July.
    16. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-1442, November.
    17. Matsushima, Hitoshi, 1990. "Dominant strategy mechanisms with mutually payoff-relevant private information and with public information," Economics Letters, Elsevier, vol. 34(2), pages 109-112, October.
    18. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    19. Hitoshi Matsushima, 2004. "Non-Consequential Moral Preferences, Detail-Free Implementation, and Representative Systems ( Revised as CARF-F-062(2006) )," CARF F-Series CARF-F-015, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    20. Chung, Kim-Sau, 1999. "A Note on Matsushima's Regularity Condition," Journal of Economic Theory, Elsevier, vol. 87(2), pages 429-433, August.
    21. 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.
    22. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    23. 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.
    24. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    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. Matsushima, Hitoshi, 2008. "Detail-free mechanism design in twice iterative dominance: Large economies," Journal of Economic Theory, Elsevier, vol. 141(1), pages 134-151, July.
    2. Matsushima, Hitoshi & Miyazaki, Koichi & Yagi, Nobuyuki, 2010. "Role of linking mechanisms in multitask agency with hidden information," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2241-2259, November.
    3. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    4. Crawford, Vincent P., 2021. "Efficient mechanisms for level-k bilateral trading," Games and Economic Behavior, Elsevier, vol. 127(C), pages 80-101.
    5. Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Working Papers 2021-84, Princeton University. Economics Department..
    6. Hitoshi Matsushima, 2007. "Detail-Free Mechanism Design in Twice Iterative Dominance: Large Economies ( Revised version of CARF-F-007(2004) and CARF-F-062(2005); The further revision was subsequently published in "Journal ," CARF F-Series CARF-F-110, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    7. 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.
    8. Kneeland, Terri, 2022. "Mechanism design with level-k types: Theory and an application to bilateral trade," Journal of Economic Theory, Elsevier, vol. 201(C).
    9. Hitoshi Matsushima & Shunya Noda, 2020. "Unique Information Elicitation," CARF F-Series CARF-F-496, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    10. Hitoshi Matsushima & Koichi Miyazaki & Nobuyuki Yagi, 2006. "Role of Linking Mechanisms in Multitask Agency with Hidden Information ( Revised as CARF-F-209(2010) )," CARF F-Series CARF-F-059, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    11. 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.
    12. Hitoshi Matsushima & Shunya Noda, 2020. "Epistemological Mechanism Design (Revised version of CARF-F-496)," CARF F-Series CARF-F-498, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Feb 2021.

    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. Hitoshi Matsushima, 2005. "Mechanism Design with Side Payments: Individual Rationality and Iterative Dominance ( Published in "Journal of Economic Theory" (as a regular article). )," CARF F-Series CARF-F-050, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. 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.
    3. 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.
    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. 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.
    6. 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.
    7. 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.
    8. Matsushima, Hitoshi & Miyazaki, Koichi & Yagi, Nobuyuki, 2010. "Role of linking mechanisms in multitask agency with hidden information," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2241-2259, November.
    9. 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.
    10. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    11. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    12. Sergei Severinov & Grigory Kosenok, 2004. "Individually Rational, Balanced-Budget Bayesian Mechanisms and the," 2004 Meeting Papers 633, Society for Economic Dynamics.
    13. 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.
    14. Hamilton, Jonathan & Slutsky, Steven, 2004. "Nonlinear price discrimination with a finite number of consumers and constrained recontracting," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 737-757, June.
    15. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
    16. John Duggan & Joanne Roberts, 2002. "Implementing the Efficient Allocation of Pollution," American Economic Review, American Economic Association, vol. 92(4), pages 1070-1078, September.
    17. Song, Yangwei, 2018. "Efficient Implementation with Interdependent Valuations and Maxmin Agents," Rationality and Competition Discussion Paper Series 92, CRC TRR 190 Rationality and Competition.
    18. Serrano, Roberto & Vohra, Rajiv, 2010. "Multiplicity of mixed equilibria in mechanisms: A unified approach to exact and approximate implementation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 775-785, September.
    19. Safronov, Mikhail, 2018. "Coalition-proof full efficient implementation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 659-677.
    20. Hitoshi Matsushima, 2005. "On Detail‐Free Mechanism Design And Rationality," The Japanese Economic Review, Japanese Economic Association, vol. 56(1), pages 41-54, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:tky:fseres:2005cf376. 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: CIRJE administrative office (email available below). General contact details of provider: https://edirc.repec.org/data/ritokjp.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.