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Mechanism Design with Side Payments: Individual Rationality and Iterative Dominance

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Author Info
Hitoshi Matsushima (Faculty of Economics, University of Tokyo)

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Abstract

We investigate the collective decision problem with incomplete information and side payments. We show that for generic prior distributions, there exists a direct mechanism associated with the social choice function that satisfies budget balancing, incentive compatibility, and interim individual rationality. We consider the possibility of a risk-averse principalfs extracting the full surplus in agency problems with adverse selection. We also show that for generic prior distributions, 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 triple iteratively undominated message rule profile.

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Paper provided by CIRJE, Faculty of Economics, University of Tokyo in its series CIRJE F-Series with number CIRJE-F-185.

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Length: 33 pages
Date of creation: Dec 2002
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Handle: RePEc:tky:fseres:2002cf185

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  1. 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.
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  2. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February. [Downloadable!] (restricted)
  3. 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 345-61, March. [Downloadable!] (restricted)
  4. d'Aspremont, Claude & Crémer, Jacques & Gérard-Varet, Louis-André, 2003. "Balanced Bayesian Mechanisms," IDEI Working Papers 196, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
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  5. 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. [Downloadable!]
  6. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April. [Downloadable!] (restricted)
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  7. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February. [Downloadable!] (restricted)
  8. Abreu, D. & Matsushima, H., 1991. "Virtual Implementation in Iteratively Undominated Strategies: Incomplete Information," Papers e-91-2, Stanford - Hoover Institution.
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  9. Roberto Serrano & Rajiv Vohra, . "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-92, May.
  13. McAfee, R. Preston, 1991. "Efficient allocation with continuous quantities," Journal of Economic Theory, Elsevier, vol. 53(1), pages 51-74, February. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
  15. Chung, Kim-Sau, 1999. "A Note on Matsushima's Regularity Condition," Journal of Economic Theory, Elsevier, vol. 87(2), pages 429-433, August. [Downloadable!] (restricted)
  16. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November. [Downloadable!] (restricted)
  17. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  18. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March. [Downloadable!] (restricted)
  19. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
  20. 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. [Downloadable!] (restricted)
  21. 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. [Downloadable!] (restricted)
  22. Cremer, Jacques, & Riordan, Michael H, 1985. "A Sequential Solution to the Public Goods Problem," Econometrica, Econometric Society, vol. 53(1), pages 77-84, January. [Downloadable!] (restricted)
  23. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Hitoshi Matsushima & Koichi Miyazaki & Nobuyuki Yagi, 2006. "Role of Linking Mechanisms in Multitask Agency with Hidden Information," CIRJE F-Series CIRJE-F-401, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  2. Hitoshi Matsushima, 2007. "Detail-Free Mechanism Design in Twice Iterative Dominance: Large Economies," CIRJE F-Series CIRJE-F-519, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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  3. Stanislav Anatolyev & Grigory Kosenok, 2006. "Tests in contingency tables as regression tests," Working Papers w0075, Center for Economic and Financial Research (CEFIR). [Downloadable!]
    Other versions:
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