Game Theory and Its Applications

This volume contains the lecture notes prepared by the four speakers in the American Mathematical Society Short Course on Game Theory and its Applications given in Biloxi, Mississippi on January 22-23, 1979. The Short Course Advisory Subcommitee of the AMS selected this topic, assisted in the arrangements for the course, and recommended the publication of the lecture notes.

Game theory has been a topic of broad interest as a purely theoretical subject which has relationships to many other mathematical areas, and also as a subject widely used in applications over a large variety of problem areas. It is concerned with mathematical models for situations involving conflict and/or cooperation. These arise in a fundamental way throughout the behavioral and decision sciences. Game theory has become a basic modeling technique in much of modern economic theory, political science, sociology, and operations research, and it has frequently been applied to many other fields. It is a subject highly suitable for joint research of an interdisciplinary nature.