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

    as
    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. 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.
    3. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    4. Martimort, David & Semenov, Aggey, 2008. "Ideological uncertainty and lobbying competition," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 456-481, April.
    5. 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.
    6. 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.
    7. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    8. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    9. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Andrea Attar & Thomas Mariotti & François Salanié, 2014. "On Competitive Nonlinear Pricing," CEIS Research Paper 314, Tor Vergata University, CEIS, revised 18 Apr 2014.
    2. 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, Economics Department, Indiana University Bloomington.
    3. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    4. 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.
    5. 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.
    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. 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, Economics Department, Indiana University Bloomington.
    8. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    9. 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.
    10. 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.
    11. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    12. repec:inu:caeprp:2012-008 is not listed on IDEAS

    More about this item

    Keywords

    Common Agency; Menu Games; Sequential Equilibrium;

    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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