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Existence of Equilibrium in Common Agency Games with Adverse Selection

Author

Listed:
  • Guilherme Carmona

    (Universidade Nova de Lisboa)

  • José Fajardo

    (IBMEC Business School - Rio de Janeiro)

Abstract

We establish the existence of sequential equilibria in general menu games, known to be sufficient to analyze common agency problems. In particular, we show that our result solves some unpleasant features of early approaches.

Suggested Citation

  • Guilherme Carmona & José Fajardo, 2006. "Existence of Equilibrium in Common Agency Games with Adverse Selection," IBMEC RJ Economics Discussion Papers 2006-05, Economics Research Group, IBMEC Business School - Rio de Janeiro.
    • Handle: RePEc:ibr:dpaper:2006-05
    as

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    File URL: http://professores.ibmecrj.br/erg/dp/papers/dp200605.pdf
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    References listed on IDEAS

    as
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    7. 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.
    8. Martimort David & Stole Lars, 2003. "Contractual Externalities and Common Agency Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-40, July.
    9. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525.
    10. Maskin, Eric & Tirole, Jean, 1990. "The Principal-Agent Relationship with an Informed Principal: The Case of Private Values," Econometrica, Econometric Society, vol. 58(2), pages 379-409, March.
    11. Peters, Michael, 2003. "Negotiation and take it or leave it in common agency," Journal of Economic Theory, Elsevier, vol. 111(1), pages 88-109, July.
    12. Paulo Monteiro & Frank Page, 2008. "Catalog competition and Nash equilibrium in nonlinear pricing games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 503-524, March.
    13. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Keeler Marku & Sergio Ocampo & Jean-Baptiste Tondji, 2022. "Robust Contracts in Common Agency," University of Western Ontario, Departmental Research Report Series 20222, University of Western Ontario, Department of Economics.
    2. Andrea Attar & Thomas Mariotti & François Salanié, 2022. "Regulating Insurance Markets: Multiple Contracting And Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 981-1020, August.
    3. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    4. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2019. "On competitive nonlinear pricing," Theoretical Economics, Econometric Society, vol. 14(1), January.
    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. Allison, Blake A. & Bagh, Adib & Lepore, Jason J., 2022. "Invariant equilibria and classes of equivalent games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 448-462.
    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. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    9. 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.
    10. Graham Mallard, 2014. "Static Common Agency And Political Influence: An Evaluative Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 28(1), pages 17-35, February.
    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. 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.
    13. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2023. "Equilibrium (non-)existence in games with competing principals," Economics Letters, Elsevier, vol. 222(C).
    14. 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.
    15. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    16. Ulrich Horst & Santiago Moreno-Bromberg, 2010. "Efficiency and Equilibria in Games of Optimal Derivative Design," SFB 649 Discussion Papers SFB649DP2010-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    17. 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.
    18. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    19. repec:inu:caeprp:2012-008 is not listed on IDEAS

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    More about this item

    Keywords

    Common Agency; Menu Games; Sequential Equilibrium;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other

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