Research Papers

The Pitcher's Dilemma: A Game-Theoretical Model of Pickoffs and Stolen Bases

Authors:

William Melville, Robert Greathouse, Tristan Mott, Christopher Archibald, David Grimsman

Abstract:

In 2023, Major League Baseball increased the width of bases from 15 to 18 inches and limited the pitcher’s pickoff attempts to two, with a third failed attempt resulting in a balk. These rule changes led to an increase in stolen base attempts and a reduction in caught stealing rates. We present a comprehensive analysis of stolen base and pickoff strategies under the 2023 rule changes. We model the interaction between pitcher and base stealer as an extensive-form game called the pitcher’s dilemma, and we define optimal base stealing, pickoff, pitchout, and hit and run strategies by solving for equilibria in various versions of the pitcher’s dilemma.