IDEAS home Printed from https://ideas.repec.org/p/inu/caeprp/2012008.html
   My bibliography  Save this paper

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

    Download full text from publisher

    File URL: https://caepr.indiana.edu/RePEc/inu/caeprp/caepr2012-008.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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, December.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:inu:caeprp:2012-008 is not listed on IDEAS
    2. Yu Chen, 2013. "Bilateral Mechanism Design: Practical Contracting in Multi-Agency," CAEPR Working Papers 2013-003, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    3. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
    4. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    5. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE), revised Aug 2022.
    6. Monteiro, Paulo K. & Page Jr., Frank H., 2009. "Endogenous mechanisms and Nash equilibrium in competitive contracting games," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 664-678, September.
    7. Frank H. Page, Jr. & Paulo K. Monteiro, 2007. "Endogenous Mechanisms and Nash Equilibrium in Competitive Contracting," CAEPR Working Papers 2007-025, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    8. Bo Chen & Yu Chen & David Rietzke, 2020. "Simple contracts under observable and hidden actions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1023-1047, June.
    9. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    10. 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.
    11. Arribas, I. & Urbano, A., 2017. "Multiproduct trading with a common agent under complete information: Existence and characterization of Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 167(C), pages 14-38.
    12. 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.
    13. Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
    14. Gong, Rui & Page, Frank & Wooders, Myrna, 2015. "Endogenous correlated network dynamics," LSE Research Online Documents on Economics 65098, London School of Economics and Political Science, LSE Library.
    15. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    16. Bo Chen & Yu Chen & David Rietzke, 2017. "Simple Contracts under Observable and Hidden Actions," Graz Economics Papers 2017-07, University of Graz, Department of Economics.
    17. Andrea Attar & Thomas Mariotti & François Salanié, 2021. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," American Economic Review, American Economic Association, vol. 111(8), pages 2623-2659, August.
    18. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    19. Sambuddha Ghosh & Seungjin Han, 2012. "Repeated Contracting in Decentralised Markets," Department of Economics Working Papers 2012-03, McMaster University, revised May 2013.
    20. Martimort, David & Semenov, Aggey & Stole, Lars A., 2018. "A complete characterization of equilibria in an intrinsic common agency screening game," Theoretical Economics, Econometric Society, vol. 13(3), September.
    21. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inu:caeprp:2012008. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Center for Applied Economics and Policy Research (email available below). General contact details of provider: https://edirc.repec.org/data/caeprus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.