Multi-opponent James functions

Author:

Hammond Christopher N. B.1,Johnson Warren P.1

Affiliation:

1. Department of Mathematics and Statistics , Connecticut College , 270 Mohegan Avenue , New London , CT 06320 , USA

Abstract

Abstract The James function, also known as the “log5 method”, assigns a probability to the result of a competition between two teams based on their respective winning percentages. This paper, which builds on earlier work of the authors and Steven J. Miller, explores the analogous situation where a single team or player competes simultaneously against multiple opponents.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference6 articles.

1. Chartrand, G.—Zhang, P.: A First Course in Graph Theory, Dover Publications, Mineola, NY, 2012.

2. Hammond, C. N. B.—Johnson, W. P.—Miller, S. J.: The James function, Math. Mag. 88(1) (2015), 54–71.

3. James, B.: 1981 Baseball Abstract, self-published, Lawrence, KS, 1981.

4. Luce, R. D.: Individual Choice Behavior: A Theoretical Analysis, John Wiley and Sons, New York, 1959.

5. Luce, R. D.: The choice axiom after twenty years, J. Mathematical Psychology 15(3) (1977), 215–233.

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