Changing It Up: Determining the Nash Equilibria for Major League Baseball Pitchers

IF 2.3 2区文学 Q2 PSYCHOLOGY, CLINICAL

American Behavioral Scientist Pub Date : 2024-03-07 DOI:10.1177/00027642241235829

Dustin R. White, Ben O. Smith

引用次数: 0

Abstract

In order to prevent batters from hitting a pitch, pitchers must decide on a strategic balance of many different pitch types. While each pitcher has preferred pitches (likely those with which he is most confident), he cannot over-utilize his dominant pitches, or batters will be able to gain a strategic advantage in trying to put the ball into play. We analyze Major League Baseball (MLB) pitch data from 2008 to 2018 in order to determine whether or not MLB pitchers are able to reach the theorized mixed-strategy Nash equilibrium given the pitcher’s skill in utilizing each type of pitch. Our data suggests that MLB pitchers are in fact rational, and succeed in reaching the mixed-strategy Nash Equilibrium.

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改变：确定美国职业棒球大联盟投手的纳什均衡点

为了防止击球手投中，投手必须决定多种不同投球类型的战略平衡。虽然每个投手都有偏好的投球（可能是他最有信心的投球），但他不能过度使用自己的优势投球，否则击球手就会在试图将球投出时获得战略优势。我们分析了 2008 年至 2018 年美国职业棒球大联盟（MLB）的投球数据，以确定 MLB 投手在利用每种投球技巧的情况下，是否能够达到理论上的混合策略纳什均衡。我们的数据表明，MLB投手实际上是理性的，他们成功地达到了混合策略纳什均衡。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

American Behavioral Scientist Multiple-

CiteScore

6.70

自引率

3.10%

发文量

190

期刊介绍： American Behavioral Scientist has been a valuable source of information for scholars, researchers, professionals, and students, providing in-depth perspectives on intriguing contemporary topics throughout the social and behavioral sciences. Each issue offers comprehensive analysis of a single topic, examining such important and diverse arenas as sociology, international and U.S. politics, behavioral sciences, communication and media, economics, education, ethnic and racial studies, terrorism, and public service. The journal"s interdisciplinary approach stimulates creativity and occasionally, controversy within the emerging frontiers of the social sciences, exploring the critical issues that affect our world and challenge our thinking.