Differential game models in management science

This paper reviews a number of differential games applications to management science and operations research problems, published—with a few exceptions—during the last decade. The purpose of the article is to provide the reader with an up-to-date account of the state-of-the-art within this field. After having stated in an introduction the general differential games framework as well as some conceptual problems, we proceed to review the models which have been divided into the following functional areas: Investment, consumption, and employment; Production, inventories, and maintenance; Marketing (Advertising, pricing and R&D); Bargaining; Natural resources and pollution. The survey concludes with some remarks on applicability, solvability, and directions for future research.