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Analysis of multifractal strengths in game behaviors

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Abstract

In this paper, we study the multifractal structure and its property from the number of end stones, which means the number of stones on the board at the end of a game, in the Baduk game. We mainly estimate the generalized Hurst exponent, the Renyi exponent, and the singularity spectrum for the time-series data of the number of end stones via multifractal detrended fluctuation analysis. For three segments, we mainly simulate and analyze the multifractal strength in Baduk games with four players. Particularly, the results obtained for games with four players are compared to each other and analyzed in detail.

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Authors and Affiliations

  1. Department of Environmental Atmospheric Sciences, Pukyong National University, Busan, 608-737, Korea

    Cheol-Hwan You & Dong-In Lee

  2. Department of Physics, Pukyong National University, Busan, 608-737, Korea

    Kyungsik Kim

Authors
  1. Cheol-Hwan You
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  2. Dong-In Lee
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  3. Kyungsik Kim
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Correspondence to Kyungsik Kim.

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You, CH., Lee, DI. & Kim, K. Analysis of multifractal strengths in game behaviors. Journal of the Korean Physical Society 66, 1617–1622 (2015). https://doi.org/10.3938/jkps.66.1617

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  • DOI: https://doi.org/10.3938/jkps.66.1617

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