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Trading with a common agent under complete information: A characterization of Nash equilibria

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  • Chiesa, Gabriella
  • Denicolò, Vincenzo

Abstract

We analyze an abstract model of trading where N principals submit quantity-payment schedules that describe the contracts they offer to an agent, and the agent then chooses how much to trade with every principal. This represents a special class of common agency games with complete information. We study all the subgame perfect Nash equilibria of these games, not only truthful ones, providing a complete characterization of equilibrium payoffs. In particular, we show that the equilibrium that is Pareto-dominant for the principals is not truthful when there are more than two of them. We also provide a partial characterization of equilibrium strategies.

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  • Chiesa, Gabriella & Denicolò, Vincenzo, 2009. "Trading with a common agent under complete information: A characterization of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 144(1), pages 296-311, January.
  • Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:296-311
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    References listed on IDEAS

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    Cited by:

    1. O. Amerighi & G. De Feo, 2009. "Is Competition for FDI Bad for Regional Welfare?," Working Papers 680, Dipartimento Scienze Economiche, Universita' di Bologna.
    2. Antonio Nicita & Simone Sepe, 2012. "The Hold-up Problem Under Common Agency," Department of Economics University of Siena 636, Department of Economics, University of Siena.
    3. Hoernig Steffen & Valletti Tommaso M., 2011. "When Two-Part Tariffs are Not Enough: Mixing with Nonlinear Pricing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-20, October.
    4. Martimort, David & Semenov, Aggey & Stole, Lars, 2017. "A Complete Characterization of Equilibria in a Common Agency Screening Game," MPRA Paper 80870, University Library of Munich, Germany.
    5. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    6. 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.
    7. 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.
    8. Castiglionesi, Fabio & Wagner, Wolf, 2013. "On the efficiency of bilateral interbank insurance," Journal of Financial Intermediation, Elsevier, vol. 22(2), pages 177-200.
    9. Oscar Amerighi & Giuseppe De Feo, 2014. "Competition for FDI and Profit Shifting: On the Effects of Subsidies and Tax Breaks," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 70(3), pages 374-404, September.
    10. Guillem Roig, 2018. "Investment and Market Structure in Common Agency Games," DOCUMENTOS DE TRABAJO 016203, UNIVERSIDAD DEL ROSARIO.
    11. Martimort, David & Stole, Lars, 2009. "Selecting equilibria in common agency games," Journal of Economic Theory, Elsevier, vol. 144(2), pages 604-634, March.
    12. Martimort, David & Stole, Lars, 2011. "Public Contracting in Delegated Agency Games," MPRA Paper 32874, University Library of Munich, Germany.
    13. Roig, Guillem, 2014. "Competition and the Hold‐U p Problem: a Setting with Non‐exclusive Contracts," TSE Working Papers 14-481, Toulouse School of Economics (TSE).
    14. David Martimort & Aggey Semenov & Lars Stole, 2016. "A Complete Characterization of Equilibria in Common Agency Screening Games," Working Papers 1618E, University of Ottawa, Department of Economics.
    15. Roig, Guillem, 2014. "What Determines Market Structure? An Explanation from Cooperative Investment with Non‐Exclusive Co," TSE Working Papers 14-482, Toulouse School of Economics (TSE).
    16. Mireille Bossy & Nadia Maizi & Odile Pourtallier, 2014. "Game theory analysis for carbon auction market through electricity market coupling," Papers 1408.6122, arXiv.org, revised Jan 2015.
    17. Iván Arribas & Amparo Urbano, 2018. "Identification of efficient equilibria in multiproduct trading with indivisibilities and non-monotonicity," Discussion Papers in Economic Behaviour 0318, University of Valencia, ERI-CES.
    18. repec:the:publsh:2266 is not listed on IDEAS

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