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Uniform Proofs of Order Independence for Various Strategy Elimination Procedures

Author

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  • Apt Krzysztof R.

    (National University of Singapore, apt@cwi.nl)

Abstract

We provide elementary and uniform proofs of order independence for various strategy elimination procedures for finite strategic games, both for dominance by pure and by mixed strategies. The proofs follow the same pattern and focus on the structural properties of the dominance relations. They rely on Newman's Lemma established in 1942 and related results on the abstract reduction systems.

Suggested Citation

  • Apt Krzysztof R., 2004. "Uniform Proofs of Order Independence for Various Strategy Elimination Procedures," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-48, September.
    • Handle: RePEc:bpj:bejtec:v:contributions.4:y:2004:i:1:n:5
    DOI: 10.2202/1534-5971.1141
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    Cited by:

    1. 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.
    2. , & ,, 2013. "The order independence of iterated dominance in extensive games," Theoretical Economics, Econometric Society, vol. 8(1), January.
    3. Balkenborg, Dieter, 2018. "Rationalizability and logical inference," Games and Economic Behavior, Elsevier, vol. 110(C), pages 248-257.
    4. Manili, Julien, 2024. "Order independence for rationalizability," Games and Economic Behavior, Elsevier, vol. 143(C), pages 152-160.

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