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Delegation Principle for Multi-agency Games under Ex Post Equilibrium

Author

Listed:
  • Yu Chen

    (Nanjing University)

  • Zhenhua Wu

    (Nanjing University)

Abstract

We explore the strategic equivalence of the delegated menu contracting procedure in pure-strategy multi-agency games under ex post equilibrium. Our model setup permits "full-blown interdependence," including information externality, contract externality, correlated types, and primitive constraints across the contracts for different agents. Our delegation principle identifies that (optimal) ex post menu design is strategically equivalent to (optimal) bilateral ex post mechanism design, which simplifies collective ex post mechanism design by ignoring relative information evaluation. Moreover, one can restrict attention to product menu design problems out of general menu design problems if the contract constraint sets have product structures. Our results still hold if we include individual rationality or any degenerated form of "full-blown interdependence."

Suggested Citation

  • Yu Chen & Zhenhua Wu, 2012. "Delegation Principle for Multi-agency Games under Ex Post Equilibrium," CAEPR Working Papers 2012-008, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    • Handle: RePEc:inu:caeprp:2012008
    as

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    References listed on IDEAS

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    1. Page, Frank Jr., 1987. "The existence of optimal contracts in the principal-agent model," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 157-167, April.
    2. Vianney Dequiedt & David Martimort, 2007. "Mechanism Design with Private Communication," NajEcon Working Paper Reviews 843644000000000074, www.najecon.org.
    3. Page, Frank Jr. & Monteiro, Paulo K., 2003. "Three principles of competitive nonlinear pricing," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 63-109, February.
    4. Giammarino, Ronald M & Lewis, Tracy R & Sappington, David E M, 1993. "An Incentive Approach to Banking Regulation," Journal of Finance, American Finance Association, vol. 48(4), pages 1523-1542, September.
    5. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    6. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
    7. ,, 2006. "Ex post implementation in environments with private goods," Theoretical Economics, Econometric Society, vol. 1(3), pages 369-393, September.
    8. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2006. "The Limits of ex post Implementation," Econometrica, Econometric Society, vol. 74(3), pages 585-610, May.
    9. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    10. Dirk Bergemann & Stephen Morris, 2012. "Ex Post Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 3, pages 97-152, World Scientific Publishing Co. Pte. Ltd..
    11. Dirk Bergemann & Stephen Morris, 2012. "Robust Implementation in General Mechanisms," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 5, pages 195-239, World Scientific Publishing Co. Pte. Ltd..
    12. Richard P. McLean & Andrew Postlewaite, 2002. "Implementation with Interdependent Valuations, Second Version," PIER Working Paper Archive 13-005, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Jan 2013.
    13. Jacques H. Drèze (ed.), 1974. "Allocation under Uncertainty: Equilibrium and Optimality," International Economic Association Series, Palgrave Macmillan, number 978-1-349-01989-2.
    14. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    15. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    16. Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
    17. DELBAEN, Freddy, 1974. "Continuity of the expected utility," LIDAM Reprints CORE 194, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Page, Frank H, Jr, 1992. "Mechanism Design for General Screening Problems with Moral Hazard," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 265-281, April.
    19. C. J. Himmelberg & T. Parthasarathy & F. S. VanVleck, 1976. "Optimal Plans for Dynamic Programming Problems," Mathematics of Operations Research, INFORMS, vol. 1(4), pages 390-394, November.
    20. Carlier, Guillaume, 2001. "A general existence result for the principal-agent problem with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 129-150, February.
    21. Jeffrey C. Ely & Kim-Sau Chung, 2002. "Ex-Post Incentive Compatible Mechanism Design," Discussion Papers 1339, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    22. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    23. F. Delbaen, 1974. "Continuity of the Expected Utility," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 14, pages 254-256, Palgrave Macmillan.
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    More about this item

    Keywords

    multi-agency; ex post equilibrium; mechanism design; menu design; delegation principle;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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