IDEAS home Printed from https://ideas.repec.org/p/hhs/sunrpe/1999_0002.html
   My bibliography  Save this paper

When Order matters for Iterated Strict Dominance

Author

Listed:
  • Dufwenberg, Martin

    (Dept. of Economics, Stockholm University)

  • Stegeman, Mark

    (Virginia Polytechnic Institute)

Abstract

We demonstrate that iterated elimination of strictly dominated strategies is an order dependent procedure. We also prove that order does not matter if strategy spaces are compact and payoff functions continous. Examples show that this result is tight.

Suggested Citation

  • Dufwenberg, Martin & Stegeman, Mark, 1999. "When Order matters for Iterated Strict Dominance," Research Papers in Economics 1999:2, Stockholm University, Department of Economics.
    • Handle: RePEc:hhs:sunrpe:1999_0002
    as

    Download full text from publisher

    File URL: http://www2.ne.su.se/paper/wp99_02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ehud Kalai & Eitan Zemel, 1988. "On The Order of Eliminating Dominated Strategies," Discussion Papers 789, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Marx, Leslie M. & Swinkels, Jeroen M., 2000. "Order Independence for Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 31(2), pages 324-329, May.
    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. Mario Gilli, 2002. "Iterated Admissibility as Solution Concept in Game Theory," Working Papers 47, University of Milano-Bicocca, Department of Economics, revised Mar 2002.

    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. Manili, Julien, 2024. "Order independence for rationalizability," Games and Economic Behavior, Elsevier, vol. 143(C), pages 152-160.
    2. Marx, Leslie M. & Swinkels, Jeroen M., 2000. "Order Independence for Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 31(2), pages 324-329, May.
    3. Michael Trost, 2012. "An Epistemic Rationale for Order-Independence," Jena Economics Research Papers 2012-010, Friedrich-Schiller-University Jena.
    4. Hsieh, Yue-Da & Qian, Xuewen & Qu, Chen, 2023. "Iterated bounded dominance," Economics Letters, Elsevier, vol. 232(C).
    5. Xiao Luo & Xuewen Qian & Chen Qu, 2020. "Iterated elimination procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 437-465, September.
    6. Chen, Yi-Chun & Long, Ngo Van & Luo, Xiao, 2007. "Iterated strict dominance in general games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 299-315, November.
    7. Amanda Friedenberg & H. Jerome Keisler, 2021. "Iterated dominance revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 377-421, September.
    8. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    9. Kei Kawai & Yasutora Watanabe, 2013. "Inferring Strategic Voting," American Economic Review, American Economic Association, vol. 103(2), pages 624-662, April.
    10. , & ,, 2013. "The order independence of iterated dominance in extensive games," Theoretical Economics, Econometric Society, vol. 8(1), January.
    11. Bo Chen & Rajat Deb, 2018. "The role of aggregate information in a binary threshold game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 381-414, October.
    12. Osterdal, Lars Peter, 2005. "Iterated weak dominance and subgame dominance," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 637-645, September.
    13. Joseph Y. Halpern & Rafael Pass, 2018. "Game theory with translucent players," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 949-976, September.
    14. Melody Lo, 2021. "Language and coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 49-92, July.
    15. Amanda Friedenberg, 2006. "Can Hidden Variables Explain Correlation? (joint with Adam Brandenburger)," Theory workshop papers 815595000000000005, UCLA Department of Economics.
    16. Hon-Snir, Shlomit & Monderer, Dov & Sela, Aner, 1998. "A Learning Approach to Auctions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 65-88, September.
    17. Maxwell Pak & Bing Xu, 2016. "Generalized reinforcement learning in perfect-information games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 985-1011, November.
    18. Adam Brandenburger & Amanda Friedenberg, 2014. "Intrinsic Correlation in Games," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 4, pages 59-111, World Scientific Publishing Co. Pte. Ltd..
    19. Bernergård, Axel & Mohlin, Erik, 2019. "Evolutionary selection against iteratively weakly dominated strategies," Games and Economic Behavior, Elsevier, vol. 117(C), pages 82-97.
    20. Lucia Buenrostro & Amrita Dhillon & Peter Vida, 2013. "Scoring rule voting games and dominance solvability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 329-352, February.

    More about this item

    Keywords

    game theory; iterated strict dominance; order independence;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:hhs:sunrpe:1999_0002. 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: Anne Jensen (email available below). General contact details of provider: https://edirc.repec.org/data/neisuse.html .

    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.