A network diffusion ranking family that includes the methods of Markov, Massey, and Colley-Reference-Cited by-同舟云学术

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

Published:2018-06-16 Issue:3 Volume:14 Page:91-101
ISSN:1559-0410
Container-title:Journal of Quantitative Analysis in Sports
language:en
Short-container-title:

Author:

Devlin Stephen¹,Treloar Thomas²

Affiliation:

1. University of San Francisco , Department of Mathematics , San Francisco, CA 94117-1080 , USA

2. Department of Mathematics , Hillsdale College, 33 E College Street , Hillsdale, MI 49242 , USA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Decision Sciences (miscellaneous),Social Sciences (miscellaneous)

Reference21 articles.

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3. Chartier, T. P., E. Kreutzer, A. N. Langville, and K. E. Pedings. 2011. “Sensitivity and Stability of Ranking Vectors.” SIAM Journal on Scientific Computing 33(3):1077–1102.

4. Colley, W. N. 2002. Colley’s Bias Free College Football Ranking Method: The Colley Matrix Explained. Princeton: Princeton University.

5. Csató, L. 2015. “A Graph Interpretation of the Least Squares Ranking Method.” Social Choice and Welfare 44(1):51–69.

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