@article{oai:kyutech.repo.nii.ac.jp:00006086, author = {Kira, Akifumi and Inakawa, Keisuke and Fujita, Toshiharu and 藤田, 敏治}, issue = {2}, journal = {日本オペレーションズ・リサーチ学会論文誌}, month = {Apr}, note = {In this paper, baseball is formulated as a finite non-zero-sum Markov game with approximately 6.45 million states. We give an effective dynamic programming algorithm which computes equilibrium strategies and the equilibrium winning percentages for both teams in less than 2 second per game. Optimal decision making can be found depending on the situation—for example, for the batting team, whether batting for a hit, stealing a base or sacrifice bunting will maximize their win percentage, or for the fielding team, whether to pitch to or intentionally walk a batter, yields optimal results. Based on this model, we discuss whether the last-batting team has an advantage. In addition, we compute the optimal batting order, in consideration of the decision making in a game.}, pages = {64--82}, title = {A Dynamic Programming Algorithm for Optimizing Baseball Strategies}, volume = {62}, year = {2019}, yomi = {フジタ, トシハル} }