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The complexity of eliminating dominated strategies

Author

Listed:
  • Itzhak Gilboa

    (Northwestern University [Evanston])

  • Ehud Kalai

    (Northwestern University [Evanston])

  • Eitan Zemel

    (Northwestern University [Evanston])

Abstract

This paper deals with the computational complexity of some yes /no problems associated with sequential elimination of strategies using three domination relations: strong domination (strict inequalities), weak domination (weak inequalities), and domination (the asymmetric part of weak domination). Classification of various problems as polynomial or NP-complete seems to suggest that strong domination is a simple notion, whereas weak domination and domination are complicated ones.

Suggested Citation

  • Itzhak Gilboa & Ehud Kalai & Eitan Zemel, 1993. "The complexity of eliminating dominated strategies," Post-Print hal-00481372, HAL.
    • Handle: RePEc:hal:journl:hal-00481372
    DOI: 10.1287/moor.18.3.553
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    Cited by:

    1. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    2. Conitzer, Vincent & Sandholm, Tuomas, 2008. "New complexity results about Nash equilibria," Games and Economic Behavior, Elsevier, vol. 63(2), pages 621-641, July.
    3. Ehud Kalai, 1995. "Games," Discussion Papers 1141, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Tim Roughgarden, 2010. "Computing equilibria: a computational complexity perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.
    5. Sam Ganzfried, 2025. "Dominated Actions in Imperfect-Information Games," Papers 2504.09716, arXiv.org, revised Dec 2025.
    6. 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.
    7. Pablo Guillen & Róbert F. Veszteg, 2021. "Strategy-proofness in experimental matching markets," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 650-668, June.

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