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Estimating the strength of poker hands by integer linear programming techniques

Author

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  • Marcello Dalpasso
  • Giuseppe Lancia

Abstract

We illustrate how integer linear programming techniques can be applied to the popular game of poker Texas Hold’em in order to evaluate the strength of a hand. In particular, we give models aimed at (1) minimizing the number of features that a player should look at when estimating his winning probability (called his equity), (2) giving weights to such features so that the equity is approximated by the weighted sum of the selected features. We show that ten features or less are enough to estimate the equity of a hand with high precision. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Marcello Dalpasso & Giuseppe Lancia, 2015. "Estimating the strength of poker hands by integer linear programming techniques," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 625-640, September.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:3:p:625-640
    DOI: 10.1007/s10100-014-0366-3
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    Cited by:

    1. Botond Bertók & Tibor Csendes & Tibor Illés, 2015. "Editorial," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 811-813, December.
    2. Tibor Csendes & Lidija Zadnik Stirn & Janez Žerovnik, 2015. "Editorial," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 523-525, September.
    3. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 773-790, September.

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