Systems Analysis

Continuous NIM game

Sergey V. Vinnichenko

Chita Institute of Natural Resources, Siberian Branch of RAS, Novosibirsk

Abstract: A continuous version of NIM game is considered. Two players take water from the tank one by one. The player wins the game if she makes the last turn. Optimal strategies and the value of the game are calculated.

Keywords: NIM game, choice restrictions, continuous version, optimal strategies.

UDC: 519
BBK: 22.18