IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v16y2014i04ns021919891450011x.html
   My bibliography  Save this article

Forward-Looking Principle In Repeated Games

Author

Listed:
  • MIGUEL ARAMENDIA

    (BRiDGE group, Economia Aplicada IV, Universidad del Pais Vasco, Bilbao 48015, Spain)

  • QUAN WEN

    (Department of Economics, University of Washington, Box 353330, Seattle, WA 98195-3330, USA)

Abstract

In repeated games, equilibria requiring threats of punishment may be implausible if punishing a deviator hurts all the others. When all the punishers suffer from carrying out a punishment in the continuation, it would be in their best interest to forgive the deviation. Taking this line of reasoning into consideration, we introduce the forward-looking principle for subgame perfect equilibrium such that there must be, at least, one punisher who benefits in the continuation by carrying out the punishment. We show that this principle generally reduces payoffs that may arise from equilibrium. We characterize the payoffs that can be supported by subgame perfect equilibrium with forward-looking principle.

Suggested Citation

  • Miguel Aramendia & Quan Wen, 2014. "Forward-Looking Principle In Repeated Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1-16.
    • Handle: RePEc:wsi:igtrxx:v:16:y:2014:i:04:n:s021919891450011x
    DOI: 10.1142/S021919891450011X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S021919891450011X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S021919891450011X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, Decembrie.
    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. Yu Awaya & Vijay Krishna, 2016. "On Communication and Collusion," American Economic Review, American Economic Association, vol. 106(2), pages 285-315, February.
    2. Sugaya, Takuo & Yamamoto, Yuichi, 2020. "Common learning and cooperation in repeated games," Theoretical Economics, Econometric Society, vol. 15(3), July.
    3. Juan‐Pablo Montero & Juan Ignacio Guzman, 2010. "Output‐Expanding Collusion In The Presence Of A Competitive Fringe," Journal of Industrial Economics, Wiley Blackwell, vol. 58(1), pages 106-126, March.
    4. , L., 2013. "Fragility of reputation and clustering of risk-taking," Theoretical Economics, Econometric Society, vol. 8(3), September.
    5. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring:Experiments and Theory," CIRJE F-Series CIRJE-F-1004, CIRJE, Faculty of Economics, University of Tokyo.
    6. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "A “Super” Folk Theorem for dynastic repeated games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 357-394, December.
    7. Tobias Salz & Emanuel Vespa, 2020. "Estimating dynamic games of oligopolistic competition: an experimental investigation," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 447-469, June.
    8. Daron Acemoglu & Matthew O. Jackson, 2017. "Social Norms and the Enforcement of Laws," Journal of the European Economic Association, European Economic Association, vol. 15(2), pages 245-295.
    9. Kimmo Berg & Gijs Schoenmakers, 2017. "Construction of Subgame-Perfect Mixed-Strategy Equilibria in Repeated Games," Games, MDPI, vol. 8(4), pages 1-14, November.
    10. , & ,, 2015. "A folk theorem for stochastic games with infrequent state changes," Theoretical Economics, Econometric Society, vol. 10(1), January.
    11. Ernesto Dal Bó & Pedro Dal Bó & Rafael Di Tella, 2007. "Reputation When Threats and Transfers Are Available," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(3), pages 577-598, September.
    12. Johannes Horner & Takuo Sugaya & Satoru Takahashi & Nicolas Vieille, 2009. "Recursive Methods in Discounted Stochastic Games: An Algorithm for delta Approaching 1 and a Folk Theorem," Cowles Foundation Discussion Papers 1742, Cowles Foundation for Research in Economics, Yale University, revised Aug 2010.
    13. Carmona, Guilherme & Carvalho, Luís, 2016. "Repeated two-person zero-sum games with unequal discounting and private monitoring," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 131-138.
    14. Bramoullé, Yann & Goyal, Sanjeev, 2016. "Favoritism," Journal of Development Economics, Elsevier, vol. 122(C), pages 16-27.
    15. Sander Heinsalu, 2018. "Corrigendum to "Managerial Incentive Problems: A Dynamic Perspective"," Papers 1811.00455, arXiv.org, revised Nov 2018.
    16. Nicolas Vieille, 2010. "Recursive Methods in Discounted Stochastic Games: An Algorithm for - 1 and a Folk Theorem," Post-Print hal-00543616, HAL.
    17. Jovanovic, Boyan & Prat, Julien, 2021. "Reputation and earnings dynamics," Journal of Economic Theory, Elsevier, vol. 191(C).
    18. Cesi Berardino & Iozzi Alberto & Valentini Edilio, 2012. "Regulating Unverifiable Quality by Fixed-Price Contracts," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-39, September.
    19. Sofia Moroni, 2016. "Sniping in Proxy Auctions with Deadlines," Working Paper 5875, Department of Economics, University of Pittsburgh.
    20. Christian Hilbe & Moshe Hoffman & Martin A. Nowak, 2015. "Cooperate without Looking in a Non-Repeated Game," Games, MDPI, vol. 6(4), pages 1-15, September.

    More about this item

    Keywords

    Repeated games; forward-looking; renegotiation-proof; 91A10; 91A25;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:16:y:2014:i:04:n:s021919891450011x. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.