From the reviews:

"This book presents an account of rational choice from a non-Bayesian point of view. … this book argues that the non-Bayesian approach offers more action guidance to the decision maker. … the book is well addressed to all researchers in the field of decision theory, and especially those with philosophical concerns." (Vangelis Grigoroudis, Zentralblatt MATH, Vol. 1151, 2009)

“Anyone concerned in the foundations of normative decision theory and who feels puzzled by the way this theory typically proceeds will doubtless welcome Martin Peterson’s Non-Bayesian Decision Theory. … Perterson’s book is written in a clear and pleasant style, is well organized and shows an impressive mastery of both formal models and conceptual issues pertaining to contemporary decision theory. … Its reading will be valuable to every scholar – philosopher or economist – interested by decision theory.” (Mikaël Cozic, Economics and Philosophy, Vol. 27, 2011)