A network diffusion ranking family that includes the methods of Markov, Massey, and Colley

Devlin Stephen () and Treloar Thomas ()
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Devlin Stephen: University of San Francisco, Department of Mathematics, San Francisco, CA 94117-1080, USA
Treloar Thomas: Department of Mathematics, Hillsdale College, 33 E College Street, Hillsdale, MI 49242, USA

Journal of Quantitative Analysis in Sports, 2018, vol. 14, issue 3, 91-101

Abstract: We present a one parameter family of ratings and rankings that includes the Markov method, as well as the methods of Colley and Massey as particular cases. The rankings are based on a natural network diffusion process that unites the methodologies above in a common framework and brings strong intuition to how and why they differ. We also explore the behavior of the ranking family using both real and simulated data.

Keywords: Colley method; Massey method; network; ranking (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/jqas-2017-0098

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