Every day, billions of human beings are making dozens of decisions that do not appear based on the same, seemingly sound mathematical principles they would apply to a gambling or investing situation. Yet these decisions are not irrational, rather they are the product of an innate sense pertaining to risk and opportunity. This introductory text is presented for the non-mathematician (though the underlying math is provided for those who are interested), and not only gives reason to reconsider the bases we assess gambling and investing situations, but reveals this magnificent, innate ability we possess. For decades various mathematical notions have presented themselves which, though applicable to domains such as probability, game theory, operations research, and quantitative finance, have fallen essentially outside the purview of these various disciplines. Yet the concepts detailed in this text are all related, and taken together comprise their own discipline, introduced here as Risk-Opportunity Analysis.

Ralph Vince is by profession a computer programmer writing analytical programs for funds, large traders and professional gamblers. He is the author of five books on investing in his field of expertise, portfolio management and portfolio/trade optimization.

In his latest book, In The Leverage Space Trading Model, Vince offers a groundbreaking contribution to the literature that builds on a lifetime of expert analysis to deliver not only a superior new portfolio model, but takes the entire discipline of portfolio management to a new level.