This volume is based on the lectures presented by well-known experts at the NATO Advanced Study Institute on Mathematical Models for Decision Support held in Val d'Isère, France, July 26 - August 6, 1987. At the beginning the abstracts appear in a section of their own. This is followed by an extensive review paper which provides an overview of the major modeling issues in decision making. Thus, by first reading these two sections the readers may gain a fair glimpse of the contents of the remaining six sections of the volume. Researchers and practitioners interested in current Decision Support Systems issues and the directions in progress are the intended audience of this book. There is a particular emphasis on the adaptation of Artificial Intelligence techniques for use in decision making. Readers of this volume will find its structure and contents valuable and germane to their own field of study and research.