IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v105y2009i3p261-263.html
   My bibliography  Save this article

A proof of the existence of the minimax point of a strategic game

Author

Listed:
  • Aliprantis, C.D.
  • Chakrabarti, S.K.
  • Topolyan, I.

Abstract

We present some proofs of the existence of the minimax point of a strategic game that does not seem to be available in the literature. The existence of the minimax point plays an important role in the theory of games.

Suggested Citation

  • Aliprantis, C.D. & Chakrabarti, S.K. & Topolyan, I., 2009. "A proof of the existence of the minimax point of a strategic game," Economics Letters, Elsevier, vol. 105(3), pages 261-263, December.
    • Handle: RePEc:eee:ecolet:v:105:y:2009:i:3:p:261-263
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(09)00276-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    3. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, Decembrie.
    4. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Pesce, Marialaura & Yannelis, Nicholas C., 2010. "Existence of an interim and ex-ante minimax point for an asymmetric information game," Economics Letters, Elsevier, vol. 108(1), pages 4-6, July.

    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. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    2. Nuh Aygün Dalkıran, 2016. "Order of limits in reputations," Theory and Decision, Springer, vol. 81(3), pages 393-411, September.
    3. Osório António M., 2012. "A Folk Theorem for Games when Frequent Monitoring Decreases Noise," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-27, April.
    4. Bård Harstad & Francesco Lancia & Alessia Russo, 2019. "Compliance Technology and Self-enforcing Agreements," Journal of the European Economic Association, European Economic Association, vol. 17(1), pages 1-29.
    5. Kimmo Berg, 2017. "Extremal Pure Strategies and Monotonicity in Repeated Games," Computational Economics, Springer;Society for Computational Economics, vol. 49(3), pages 387-404, March.
    6. Larry Samuelson, 2016. "Game Theory in Economics and Beyond," Journal of Economic Perspectives, American Economic Association, vol. 30(4), pages 107-130, Fall.
    7. Etro, Federico, 2017. "Research in economics and game theory. A 70th anniversary," Research in Economics, Elsevier, vol. 71(1), pages 1-7.
    8. Scartascini, Carlos & Stein, Ernesto H. & Tommasi, Mariano, 2009. "Political Institutions, Intertemporal Cooperation, and the Quality of Policies," IDB Publications (Working Papers) 1647, Inter-American Development Bank.
    9. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    10. Quan Wen, 2002. "Repeated Games with Asynchronous Moves," Vanderbilt University Department of Economics Working Papers 0204, Vanderbilt University Department of Economics.
    11. Contou-Carrère, Pauline & Tomala, Tristan, 2011. "Finitely repeated games with semi-standard monitoring," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 14-21, January.
    12. Flochel, Laurent & Versaevel, Bruno & de Villemeur, Étienne, 2009. "Optimal Collusion with Limited Liability and Policy Implications," TSE Working Papers 09-027, Toulouse School of Economics (TSE), revised Jul 2011.
    13. Wilson, Alistair J. & Wu, Hong, 2017. "At-will relationships: How an option to walk away affects cooperation and efficiency," Games and Economic Behavior, Elsevier, vol. 102(C), pages 487-507.
    14. Stefan Buehler & Dennis L. Gärtner, 2013. "Making Sense of Nonbinding Retail-Price Recommendations," American Economic Review, American Economic Association, vol. 103(1), pages 335-359, February.
    15. Gossner, Olivier & Hörner, Johannes, 2010. "When is the lowest equilibrium payoff in a repeated game equal to the minmax payoff?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 63-84, January.
    16. Mahmoud Elamin, 2015. "Can Reputation Ensure Efficiency in the Structured Finance Market? Majority Voting: A Quantitative Investigation," Working Papers (Old Series) 1441, Federal Reserve Bank of Cleveland.
    17. Drew Fudenberg & David K. Levine, 2008. "Continuous time limits of repeated games with imperfect public monitoring," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 17, pages 369-388, World Scientific Publishing Co. Pte. Ltd..
    18. Samuelson, Larry & Stacchetti, Ennio, 2017. "Even up: Maintaining relationships," Journal of Economic Theory, Elsevier, vol. 169(C), pages 170-217.
    19. Carmen Beviá & Luis C. Corchón & Yosuke Yasuda, 2020. "Oligopolistic equilibrium and financial constraints," RAND Journal of Economics, RAND Corporation, vol. 51(1), pages 279-300, March.
    20. George J. Mailath & : Wojciech Olszewski, 2008. "Folk Theorems with Bounded Recall under (Almost) Perfect Monitoring, Second Version," PIER Working Paper Archive 08-027, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Jul 2008.

    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:eee:ecolet:v:105:y:2009:i:3:p:261-263. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.