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Unique implementation of action profiles: necessary and sufficient conditions

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  • Brusco, Sandro

Abstract

We study the general problem of a principal who desires to implement a given vector of actions and pay the agents according to a given compensation scheme. Previous work has provided mechanisms for implementation in various special cases. In this paper we fully characterize the set of action proflles and compensation schemes implementable in sub game perfect equilibrium, providing necessary and sufficient conditions for implementation.

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  • Brusco, Sandro, 1997. "Unique implementation of action profiles: necessary and sufficient conditions," DEE - Working Papers. Business Economics. WB 7024, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    • Handle: RePEc:cte:wbrepe:7024
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    1. Arya, Anil & Glover, Jonathan & Hughes, John S., 1997. "Implementing Coordinated Team Play," Journal of Economic Theory, Elsevier, vol. 74(1), pages 218-232, May.
    2. Dilip Mookherjee, 1984. "Optimal Incentive Schemes with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 433-446.
    3. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December.
    4. Demski, Joel S. & Sappington, David, 1984. "Optimal incentive contracts with multiple agents," Journal of Economic Theory, Elsevier, vol. 33(1), pages 152-171, June.
    5. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
    6. Ching-To Ma, 1988. "Unique Implementation of Incentive Contracts with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 555-572.
    7. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    8. 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.
    9. Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 121-128.
    10. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    11. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
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    Cited by:

    1. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    2. Fleckinger, Pierre & Martimort, David & Roux, Nicolas, 2023. "Should They Compete or Should They Cooperate? The View of Agency Theory," TSE Working Papers 23-1421, Toulouse School of Economics (TSE), revised Jan 2024.

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