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...

A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T 1 and the penalty v 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at...