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Mechanism design with side payments: Individual rationality and iterative dominance

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  • Matsushima, Hitoshi

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 principal's 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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  • Matsushima, Hitoshi, 2007. "Mechanism design with side payments: Individual rationality and iterative dominance," Journal of Economic Theory, Elsevier, vol. 133(1), pages 1-30, March.
    • Handle: RePEc:eee:jetheo:v:133:y:2007:i:1:p:1-30
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    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    2. 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.
    3. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
    4. 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.
    5. 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.
    6. McAfee, R. Preston, 1991. "Efficient allocation with continuous quantities," Journal of Economic Theory, Elsevier, vol. 53(1), pages 51-74, February.
    7. 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.
    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. 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.
    10. Roberto Serrano & Rajiv Vohra, 2000. "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics.
    11. 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.
    12. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-792, May.
    13. 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.
    14. Chung, Kim-Sau, 1999. "A Note on Matsushima's Regularity Condition," Journal of Economic Theory, Elsevier, vol. 87(2), pages 429-433, August.
    15. 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.
    16. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    17. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    18. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
    19. 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.
    20. 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.
    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.
    22. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    23. Cremer, Jacques, & Riordan, Michael H, 1985. "A Sequential Solution to the Public Goods Problem," Econometrica, Econometric Society, vol. 53(1), pages 77-84, January.
    24. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June.
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    1. 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.
    2. 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.
    3. 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.
    4. Crawford, Vincent P., 2021. "Efficient mechanisms for level-k bilateral trading," Games and Economic Behavior, Elsevier, vol. 127(C), pages 80-101.
    5. Kneeland, Terri, 2022. "Mechanism design with level-k types: Theory and an application to bilateral trade," Journal of Economic Theory, Elsevier, vol. 201(C).
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    12. Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Working Papers 2021-84, Princeton University. Economics Department..

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