IDEAS home Printed from
   My bibliography  Save this paper

Renegotiation-Proof Relational Contracts with Side Payments


  • Kranz, Sebastian
  • Ohlendorf, Susanne


We study infinitely repeated two player games with perfect information, where each period consists of two stages: one in which the parties simultaneously choose an action and one in which they can transfer money to each other. We first derive simple conditions that allow a constructive characterization of all Pareto-optimal subgame perfect payoffs for all discount factors. Afterwards, we examine different concepts of renegotiation-proofness and extend the characterization to renegotiation-proof payoffs.

Suggested Citation

  • Kranz, Sebastian & Ohlendorf, Susanne, 2009. "Renegotiation-Proof Relational Contracts with Side Payments," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 259, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  • Handle: RePEc:trf:wpaper:259

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    2. McCutcheon, Barbara, 1997. "Do Meetings in Smoke-Filled Rooms Facilitate Collusion?," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 330-350, April.
    3. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    4. Jeanine Miklós-Thal, 2011. "Optimal collusion under cost asymmetry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 99-125, January.
    5. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    6. Joseph E. Harrington, Jr, 2006. "How Do Cartels Operate?," Economics Working Paper Archive 531, The Johns Hopkins University,Department of Economics.
    7. Blonski, Matthias & Spagnolo, Giancarlo, 2002. "Relational Contracts and Property Rights," CEPR Discussion Papers 3460, C.E.P.R. Discussion Papers.
    8. Joseph E. Harrington Jr. & Andrzej Skrzypacz, 2007. "Collusion under monitoring of sales," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 314-331, June.
    9. George Baker & Robert Gibbons & Kevin J. Murphy, 2002. "Relational Contracts and the Theory of the Firm," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 39-84.
    10. Fong, Yuk-fai & Surti, Jay, 2009. "The optimal degree of cooperation in the repeated Prisoners' Dilemma with side payments," Games and Economic Behavior, Elsevier, vol. 67(1), pages 277-291, September.
    11. Katherine Doornik, 2006. "Relational Contracting in Partnerships," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(2), pages 517-548, June.
    12. Andersson, Ola & Wengstrom, Erik, 2007. "A note on renegotiation in repeated Bertrand duopolies," Economics Letters, Elsevier, vol. 95(3), pages 398-401, June.
    13. Harrington, Joseph E., 2006. "How Do Cartels Operate?," Foundations and Trends(R) in Microeconomics, now publishers, vol. 2(1), pages 1-105, August.
    14. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    15. Baliga, Sandeep & Evans, Robert, 2000. "Renegotiation in Repeated Games with Side-Payments," Games and Economic Behavior, Elsevier, vol. 33(2), pages 159-176, November.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Goldlücke, Susanne & Kranz, Sebastian, 2012. "Infinitely repeated games with public monitoring and monetary transfers," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1191-1221.
    2. Andersson Ola & Wengström Erik, 2010. "Costly Renegotiation in Repeated Bertrand Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-12, December.
    3. Sebastian Kranz, 2013. "Relational Contracting, Repeated Negotiations, and Hold-Up," Levine's Working Paper Archive 786969000000000676, David K. Levine.
    4. Sebastian Kranz, 2012. "Discounted Stochastic Games with Voluntary Transfers," Cowles Foundation Discussion Papers 1847, Cowles Foundation for Research in Economics, Yale University.
    5. James M. Malcomson, 2012. "Relational Incentive Contracts," Introductory Chapters,in: Robert Gibbons & John Roberts (ed.), The Handbook of Organizational Economics Princeton University Press.

    More about this item


    renegotiation; infinitely repeated games; side payments; optimal penal codes;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:trf:wpaper:259. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tamilla Benkelberg). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.