IDEAS home Printed from https://ideas.repec.org/a/sae/jospec/v20y2019i3p371-398.html
   My bibliography  Save this article

History-Dependent Mixed Strategies: Evidence From Major League Baseball

Author

Listed:
  • Michael William Gmeiner

Abstract

This article analyzes to what extent baseball players adjust mixed strategies depending on the history by which the batting count is realized, then tests if these adjustments are aligned with best-response play. Two situations are examined: (1) pitches preceded by a borderline ball or strike at which the batter did not swing and (2) batters taking a strike as opposed to swinging and missing. Adjustments in batter and pitcher strategy on the following pitch are identified as statistically significant, however, of small magnitude. Analysis considers the effects of these adjustments on the expected runs scored during the plate appearance.

Suggested Citation

  • Michael William Gmeiner, 2019. "History-Dependent Mixed Strategies: Evidence From Major League Baseball," Journal of Sports Economics, , vol. 20(3), pages 371-398, April.
  • Handle: RePEc:sae:jospec:v:20:y:2019:i:3:p:371-398
    DOI: 10.1177/1527002518762554
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1527002518762554
    Download Restriction: no

    File URL: https://libkey.io/10.1177/1527002518762554?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Quinn Keefer, 2015. "Performance Feedback Does Not Eliminate the Sunk-Cost Fallacy: Evidence From Professional Football," Journal of Labor Research, Springer, vol. 36(4), pages 409-426, December.
    2. Jason Shachat & J. Todd Swarthout & Lijia Wei, 2011. "Man versus Nash An experiment on the self-enforcing nature of mixed strategy equilibrium," Working Papers 1101, Xiamen Unversity, The Wang Yanan Institute for Studies in Economics, Finance and Economics Experimental Laboratory, revised 21 Feb 2011.
    3. P.-A. Chiappori, 2002. "Testing Mixed-Strategy Equilibria When Players Are Heterogeneous: The Case of Penalty Kicks in Soccer," American Economic Review, American Economic Association, vol. 92(4), pages 1138-1151, September.
    4. Weinstein-Gould Jesse, 2009. "Keeping the Hitter Off Balance: Mixed Strategies in Baseball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 5(2), pages 1-20, May.
    5. Quinn Andrew Wesley Keefer, 2013. "Compensation Discrimination for Defensive Players," Journal of Sports Economics, , vol. 14(1), pages 23-44, February.
    6. Kenneth Kovash & Steven D. Levitt, 2009. "Professionals Do Not Play Minimax: Evidence from Major League Baseball and the National Football League," NBER Working Papers 15347, National Bureau of Economic Research, Inc.
    7. Devin G. Pope & Maurice E. Schweitzer, 2011. "Is Tiger Woods Loss Averse? Persistent Bias in the Face of Experience, Competition, and High Stakes," American Economic Review, American Economic Association, vol. 101(1), pages 129-157, February.
    8. Ignacio Palacios-Huerta, 2003. "Professionals Play Minimax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 395-415.
    9. Mark Gius & Donn Johnson, 2000. "Race and compensation in professional football," Applied Economics Letters, Taylor & Francis Journals, vol. 7(2), pages 73-75.
    10. Pasteur R. Drew & Cunningham-Rhoads Kyle, 2014. "An expectation-based metric for NFL field goal kickers," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 10(1), pages 49-66, January.
    11. Germán Coloma, 2007. "Penalty Kicks in Soccer," Journal of Sports Economics, , vol. 8(5), pages 530-545, October.
    12. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    13. David Romer, 2006. "Do Firms Maximize? Evidence from Professional Football," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 340-365, April.
    14. Wen-Jhan Jane, 2013. "Overpayment and Reservation Salary in the Nippon Professional Baseball League," Journal of Sports Economics, , vol. 14(6), pages 563-583, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Emara, Noha & Owens, David & Smith, John & Wilmer, Lisa, 2017. "Serial correlation in National Football League play calling and its effects on outcomes," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 69(C), pages 125-132.
    2. Paserman, M. Daniele, 2023. "Gender Differences in Performance in Competitive Environments? Evidence from Professional Tennis Players," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 590-609.
    3. Sean Duffy & J. J. Naddeo & David Owens & John Smith, 2024. "Cognitive Load and Mixed Strategies: On Brains and Minimax," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(03), pages 1-34, September.
    4. Leonidas Spiliopoulos, 2018. "Randomization and serial dependence in professional tennis matches: Do strategic considerations, player rankings and match characteristics matter?," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(5), pages 413-427, September.
    5. Emara, Noha & Owens, David & Smith, John & Wilmer, Lisa, 2014. "Minimax on the gridiron: Serial correlation and its effects on outcomes in the National Football League," MPRA Paper 58907, University Library of Munich, Germany.
    6. repec:cup:judgdm:v:13:y:2018:i:5:p:413-427 is not listed on IDEAS
    7. Luigi Buzzacchi & Stefano Pedrini, 2014. "Does player specialization predict player actions? Evidence from penalty kicks at FIFA World Cup and UEFA Euro Cup," Applied Economics, Taylor & Francis Journals, vol. 46(10), pages 1067-1080, April.
    8. Heifetz, Aviad & Heller, Ruth & Ostreiher, Roni, 2021. "Do Arabian babblers play mixed strategies in a “volunteer’s dilemma”?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 91(C).
    9. Florian Baumann & Tim Friehe & Michael Wedow, 2011. "General Ability and Specialization: Evidence From Penalty Kicks in Soccer," Journal of Sports Economics, , vol. 12(1), pages 81-105, February.
    10. Brian Goff & Stephen L. Locke, 2019. "Revisiting Romer: Digging Deeper Into Influences on NFL Managerial Decisions," Journal of Sports Economics, , vol. 20(5), pages 671-689, June.
    11. Lars Lefgren & Brennan Platt & Joseph Price, 2011. "Sticking with What (Barely) Worked," NBER Working Papers 17477, National Bureau of Economic Research, Inc.
    12. Etan A. Green & Justin M. Rao & David Rothschild, 2019. "A Sharp Test of the Portability of Expertise," Management Science, INFORMS, vol. 67(6), pages 2820-2831, June.
    13. Jim Downey & Joseph McGarrity, 2019. "Pressure and the ability to randomize decision-making: The case of the pickoff play in Major League Baseball," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 47(3), pages 261-274, September.
    14. Lars Lefgren & Brennan Platt & Joseph Price, 2015. "Sticking with What (Barely) Worked: A Test of Outcome Bias," Management Science, INFORMS, vol. 61(5), pages 1121-1136, May.
    15. Dawson, Peter & Dobson, Stephen, 2010. "The influence of social pressure and nationality on individual decisions: Evidence from the behaviour of referees," Journal of Economic Psychology, Elsevier, vol. 31(2), pages 181-191, April.
    16. Marta Boczoń & Alistair J. Wilson, 2023. "Goals, Constraints, and Transparently Fair Assignments: A Field Study of Randomization Design in the UEFA Champions League," Management Science, INFORMS, vol. 69(6), pages 3474-3491, June.
    17. Jan Lennartsson & Nicklas Lidström & Carl Lindberg, 2015. "Game Intelligence in Team Sports," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-28, May.
    18. David C. Phillips, 2017. "Stopping on Nine: Evidence of Heuristic Managerial Decision‐Making in Major League Baseball Pitcher Substitutions," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 577-599, October.
    19. Joseph P. McGarrity & Brian Linnen, 2010. "Pass or Run: An Empirical Test of the Matching Pennies Game Using Data from the National Football League," Southern Economic Journal, John Wiley & Sons, vol. 76(3), pages 791-810, January.
    20. Lefgren, Lars J. & Platt, Brennan & Price, Joseph & Higbee, Samuel, 2019. "Outcome based accountability: Theory and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 160(C), pages 121-137.
    21. Kenneth Kovash & Steven D. Levitt, 2009. "Professionals Do Not Play Minimax: Evidence from Major League Baseball and the National Football League," NBER Working Papers 15347, National Bureau of Economic Research, Inc.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:jospec:v:20:y:2019:i:3:p:371-398. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.