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Mechanism Design with Side Payments: Individual Rationality and Iterative Dominance

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  • 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
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    References listed on IDEAS

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    1. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
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    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.
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    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.
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    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.
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    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.

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