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Direct proofs of order independence

Author

Listed:
  • Krzysztof R. Apt

    (Centrum Wiskunde & Informatica (CWI) and University of Amsterdam)

Abstract

We establish a generic result concerning order independence of a dominance relation on finite games. It allows us to draw conclusions about order independence of various dominance relations in a direct and simple way.

Suggested Citation

  • Krzysztof R. Apt, 2011. "Direct proofs of order independence," Economics Bulletin, AccessEcon, vol. 31(1), pages 106-115.
    • Handle: RePEc:ebl:ecbull:eb-10-00437
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    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I1-P13.pdf
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    Citations

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    Cited by:

    1. Hsieh, Yue-Da & Qian, Xuewen & Qu, Chen, 2023. "Iterated bounded dominance," Economics Letters, Elsevier, vol. 232(C).
    2. Hillas, John & Samet, Dov, 2020. "Dominance rationality: A unified approach," Games and Economic Behavior, Elsevier, vol. 119(C), pages 189-196.
    3. 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.
    4. Shuige Liu, 2019. "Compactification of Extensive Game Structures and Backward Dominance Procedure," Papers 1905.00355, arXiv.org, revised Nov 2020.
    5. Mamoru Kaneko & Shuige Liu, 2015. "Elimination of dominated strategies and inessential players," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 25(1), pages 33-54.
    6. Tomoo Kikuchi & Shuige Liu, 2022. "The Power of Non-Superpowers," Papers 2209.10206, arXiv.org, revised May 2024.
    7. Michael Trost, 2012. "An Epistemic Rationale for Order-Independence," Jena Economics Research Papers 2012-010, Friedrich-Schiller-University Jena.
    8. Manili, Julien, 2024. "Order independence for rationalizability," Games and Economic Behavior, Elsevier, vol. 143(C), pages 152-160.

    More about this item

    Keywords

    dominance relations; order independence; hereditarity; monotonicity;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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