This book represents a very real and important contribution to the mathematics of decision theory. The distinguishing feature of Wakker's approach is that he has no need of a reference experiment. There are further results aplenty and much for the decision theorist to ponder. These results will also help psychologists, economists and others formulate and test models of decision-making behaviour. By any standards its publication is a landmark ... excellent survey and summary of the literature on additive preference models. Each page represents the distillation of much thought. As a consequence, it is a book that rewards reading and rereading. Wakker's results and methods of proof will enlighten research into decision theory for many years.' British Journal of Mathematical and Statistical Psychology, 43, 1990