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On the computational complexity of bridgecard

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  • Zihan Tan

    (Tsinghua University)

Abstract

Bridgecard is a classical trick-taking game utilizing a standard 52-card deck, in which four players in two competing partnerships attempt to “win” each round, i.e. trick. Existing theories and analysis have already attempted to show correlations between system designs and other technical issues with parts of the game, specifically the “Bidding” phase, but this paper will be the first to attempt to initiate a theoretical study on this game by formulating it into an optimization problem. This paper will provide both an analysis of the computational complexity of the problem, and propose exact, as well as, approximation algorithms.

Suggested Citation

  • Zihan Tan, 2016. "On the computational complexity of bridgecard," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 196-217, January.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:1:d:10.1007_s10878-014-9725-1
    DOI: 10.1007/s10878-014-9725-1
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    References listed on IDEAS

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    2. Sieds, 2010. "Complete Volume LXIV n.4 2010," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 64(4), pages 1-287.
    3. Sieds, 2010. "Complete Volume LXIV n.3 2010," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 64(3), pages 1-177.
    4. X. J. Ma & W.-X. Wang & Y.-C. Lai & Z. Zheng, 2010. "Information explosion on complex networks and control," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 76(1), pages 179-183, July.
    5. Pei-Jie Ma & Bing-Hong Wang, 2010. "The Optimum Of Synchronizability In Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(10), pages 1255-1261.
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