ON MARKOV PERFECT EQUILIBRIA IN BASEBALL - Collections

＜journal article＞
ON MARKOV PERFECT EQUILIBRIA IN BASEBALL

Creator	Author PID K005587 Creator Name Kira, Akifumi 吉良, 知文キラ, アキフミ Affiliation Affiliation Name Graduate School of Economics and Management, Tohoku University 東北大学大学院経済学研究科
Creator	Author PID 50410759 Creator Name Inakawa, Keisuke 稲川, 敬介イナカワ, ケイスケ Affiliation Affiliation Name Faculty of Systems Science and Technology, Akita Prefectural University 秋田県立大学システム科学技術学部
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2014-12
Source Title	Bulletin of informatics and cybernetics
Vol	46
First Page	11
Last Page	21
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/1798143
Abstract	We formulate baseball as a finite Markov game with approximately 3.5 million states. The manager of each opposing team is the player who maximizes the probability of their team winning. We derive, usi...ng dynamic programming, a recursive formula that is satisfied by Markov perfect equilibria and the value functions of the game for both teams. By solving this recursive formula, we can obtain optimal strategies for each condition. We demonstrate with numerical experiments that these can be calculated in approximately 1 second per game.show more

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