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Mechanism design with side payments: Individual rationality and iterative dominance

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  • Matsushima, Hitoshi

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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 133 (2007)
Issue (Month): 1 (March)
Pages: 1-30

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Handle: RePEc:eee:jetheo:v:133:y:2007:i:1:p:1-30

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. 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.
  2. 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.
  3. Chung, Kim-Sau, 1999. "A Note on Matsushima's Regularity Condition," Journal of Economic Theory, Elsevier, vol. 87(2), pages 429-433, August.
  4. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June.
  5. Broseta, Bruno & Costa-Gomes, Miguel & Crawford, Vincent P., 2000. "Cognition and Behavior in Normal-Form Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt0fp8278k, Department of Economics, UC San Diego.
  6. 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.
  7. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-92, May.
  8. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
  9. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  10. d'ASPREMONT, Claude & CREMER, Jacques & GERARD-VARET, Louis-André, . "Incentives and the existence of Pareto-optimal revelation mechanisms," CORE Discussion Papers RP -902, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. 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.
  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. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
  14. Roberto Serrano & Rajiv Vohra, . "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics.
  15. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  16. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  17. 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.
  18. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
  19. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
  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.
  21. McAfee, R. Preston, 1991. "Efficient allocation with continuous quantities," Journal of Economic Theory, Elsevier, vol. 53(1), pages 51-74, February.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  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.

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