Mixed-Strategy Equilibrium In Ping-Pong Game

The implications of the Minimax theorem are tested using field data. The tests use a unique data set from classic professional ping-pong matches. In this field settingexperts play a two person zero-sum game. Pearson's X~2 goodness-of-fit test method,Kolmogorov-Smirnov test method and run tset method were used to test the minimax hypothesis. The test results indicated that there were no statistical difference in win rates across various strategies for players, which is consistent with the equilibrium prediction. But test results also show that players' choices are serially dependent, even the top players can tend switch so few from one strategy to another. The results represent that implications of von Neumann's Minimax theorem are supported under ping-pong games.At last, this paper point out possible research direction in the future.