Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter August 13, 2013

Various applications to a more realistic baseball simulator

  • David Beaudoin EMAIL logo

Abstract

This paper develops a simulator for matches in Major League Baseball (MLB). Aspects of the approach that are studied include the introduction of base-running probabilities which were obtained through a large data set, and the simulation of nine possible outcomes for each at-bat. Various applications to the simulator are investigated, such as the definition of a measure of the ability of a batter/pitcher, in-play strategy and the determination of the optimal batting order for a given team.


Corresponding author: David Beaudoin, Associate Professor, Département Opérations et Systèmes de Décision, Faculté des Sciences de l’Administration, Pavillon Palasis-Prince, Bureau 2636, Université Laval, Québec (Québec), G1V0A6 Canada

The author has been partially supported by a research grant from the Natural Sciences and Engineering Research Council of Canada. A special thanks to the Mathematics and Statistics Department at Laval for the use of its computing resources.

References

Ano, K. 2001. “Modified Offensive Earned-Run Average with Steal Effect for Baseball.” Applied Mathematics and Computation 120(1–3): 279–288.10.1016/S0096-3003(99)00280-5Search in Google Scholar

Baumer, B. S. 2009. “Using Simulation to Estimate the Impact of Baserunning Ability in Baseball.” Journal of Quantitative Analysis in Sports 5(2): 1–16.10.2202/1559-0410.1174Search in Google Scholar

Beaudoin, D. and T. B. Swartz. 2010. “Strategies for Pulling the Goalie in Hockey.” The American Statistician 64(3): 197–204.10.1198/tast.2010.09147Search in Google Scholar

Bennett, J. M. and J. A. Flueck. 1983. “An Evaluation of Major League Offensive Performance Models.” The American Statistician 37: 76–82.Search in Google Scholar

Bukiet, E. R., E. Harold, and J. L. Palacios. 1997. “A Markov Chain Approach to Baseball.” Operations Research 45: 14–23.10.1287/opre.45.1.14Search in Google Scholar

Cover, T. M. and C. W. Keilers. 1977. “An Offensive Earned-Run Average for Baseball.” Operations Research 25: 729–740.10.1287/opre.25.5.729Search in Google Scholar

D’Esopo, D. A. and B. Lefkowitz. 1977. “The Distribution of Runs in the Game of Baseball.” pp. 55–62 in Optimal strategies in sports, edited by S.P. Ladany and R. E. Machal. New York: North Holland.Search in Google Scholar

Hirotsu, N. and M. Wright. 2005. “Modelling a Baseball Game to Optimise Pitcher Substitution Strategies Incorporating Handedness of Players.” IMA Journal of Management Mathematics 16: 179–194.10.1093/imaman/dpi009Search in Google Scholar

Hirotsu, N. and M. Wright. 2004. “Modelling a Baseball Game to Optimize Pitcher Substitution Strategies Using Dynamic Programming.” pp. 131–161 in Economics, Management, and Optimization in Sports, edited by S. Butenko et al. Berlin: Springer.10.1007/978-3-540-24734-0_9Search in Google Scholar

James, B. 1981. The Bill James Baseball Abstract. New York: Ballantine Books.Search in Google Scholar

James, B. 1987. The Bill James Baseball Abstract. New York: Villard Books.Search in Google Scholar

Kinoshita, A. 1987. “Evaluation of Baseball Batters and Pitchers (in Japanese).” Communications of the Operations Research Society of Japan 32: 689–697.Search in Google Scholar

Lackritz, J. 1990. “Salary Evaluation for Professional Baseball Players.” The American Statistician 44: 4–8.Search in Google Scholar

Lewis, M. 2003. Moneyball: the art of winning an unfair game. New York: W.W. Norton and Company.Search in Google Scholar

Lindsey, G. R. 1977. “A Scientific Approach to Strategy in Baseball.” Optimal strategies in sports. New York: Elsevier-North Holland.Search in Google Scholar

McCracken, V. 2001. “Pitching and Defense: How Much Control Do Hurlers Have?l.” http://www.baseballprospectus.com/article.php?articleid=878Search in Google Scholar

Mills, E. and H. Mills. 1970. Player win averages. New Jersey: A.S. Barnes and Co., Cranbury.Search in Google Scholar

Pankin, M. D. 1978. “Evaluating Offensive Performance in Baseball.” Operations Research 26: 610–619.10.1287/opre.26.4.610Search in Google Scholar

Sueyoshi, T., K. Ohnishi, and Y. Kinase. 1999. “A Benchmark Approach for Baseball Evaluation.” European Journal of Operational Research 115: 429–448.10.1016/S0377-2217(98)00126-XSearch in Google Scholar

Sugano, A. 2008. “A Player Based Approach to Baseball Simulation”, University of California, Los Angeles (dissertation).Search in Google Scholar

Tango, T. M., M. G. Lichtman, and A. E. Dolphin. 2006. The book: playing the percentages in baseball. Dulles, Virginia, USA: Potomac Books Inc.Search in Google Scholar

Published Online: 2013-08-13
Published in Print: 2013-09-01

©2013 by Walter de Gruyter Berlin Boston

Downloaded on 27.4.2024 from https://www.degruyter.com/document/doi/10.1515/jqas-2012-0034/html
Scroll to top button