Silverman's Game: A Special Class of Two-Person Zero-Sum Games (Lecture Notes in Economics and Mathematical Systems)

This book brings together in an efficient and unified way virtually all that has been learned about this intriguing class of games since its appearance on the scene in 1979. The game on discrete sets is reduced to minimal strategy sets on which the payoff matrix has a canonical structure, and the game on intervals is analyzed for all possible pairs of intervals. For most cases, optimal strategies and game value can be explicitly obtained.