Further application of the generalized matching law to multialternative sports contexts
The matching law predicts Major League pitch selection even with more pitchers and richer game context.
01Research in Context
What this study did
Falligant’s team watched Major League Baseball pitchers again. They asked: does the matching law still explain pitch choice when we add more game details?
They tracked every pitch and counted how often each type paid off. Then they tested the math with new facts like inning score and pitcher skill.
What they found
The old matching equation still fit. Pitchers threw the pitch that had worked most often in that spot.
Even with bigger samples and extra context, the law held steady. Choice still followed past success.
How this fits with other research
Cox et al. (2017) first showed the matching law in MLB with five pitchers. Falligant adds more pitchers and more game details. The pattern repeats.
Hawley et al. (2004) looked at women’s basketball and also used matching ideas. Both studies find the same rule works across sports and sexes.
Haemmerlie (1983) defended the matching law from early critics. Falligant’s new data give the law fresh real-world support four decades later.
Why it matters
You can trust the matching law outside the lab. When you graph a client’s choice across three snacks, the same math fits. Try adding extra context—time of day, noise level—and see if the line still matches. If it does, you know reinforcement history is driving the choice, not the new variable.
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Plot a client’s allocation across three preferred tasks; add a fourth option Friday and check if the same slope still fits.
02At a glance
03Original abstract
Cox et al. (2017) successfully applied the multialternative version of the generalized matching law (GML) to pitch selection among a sample of Major League Baseball (MLB) pitchers. The purpose of the present study was to replicate and extend these findings by fitting the multialternative GML to pitch data among a sample of MLB pitchers with varying levels of success in the major leagues. We also examined how matching parameters changed as a function of novel antecedent game contexts such as the infield shift, game location, and number of times the pitcher faced the batters in the batting order. These results replicate the findings from Cox et al. and suggest the multialternative GML is a robust descriptor of pitch selection among MLB pitchers. Together, these findings further extend the generality of the multialternative GML to naturalistic, nonlaboratory environments.
Journal of Applied Behavior Analysis, 2021 · doi:10.1002/jaba.757