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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
    as

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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. Hillas, John & Samet, Dov, 2020. "Dominance rationality: A unified approach," Games and Economic Behavior, Elsevier, vol. 119(C), pages 189-196.
    2. 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.
    3. Shuige Liu, 2019. "Compactification of Extensive Game Structures and Backward Dominance Procedure," Papers 1905.00355, arXiv.org, revised Nov 2020.
    4. 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.
    5. Tomoo Kikuchi & Shuige Liu, 2022. "The Power of Non-Superpowers," Papers 2209.10206, arXiv.org, revised Oct 2023.
    6. Michael Trost, 2012. "An Epistemic Rationale for Order-Independence," Jena Economics Research Papers 2012-010, Friedrich-Schiller-University Jena.

    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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