Exploration of optimal strategy for Memory

Memory is a popular card game playing with two or more players. Each player alternately faces up two cards. The player could get the cards if their numbers are match. Although Memory has been frequently playing in the world for a long time, the optimal strategy of the game has not been developed so far. In this study, I have developed the optimal strategy for 2-player Memory. Expected values of wining rate for 362,931 cases were calculated using memoized recursion. As a result of the calculation, the optimal strategy for 2-player Memory have been obtained successfully