Developments in differential game theory and numerical methods: economic and management applications

This paper argues that the literature applying differential games in economics and management science has aimed to a large extent for analytical results. One reason is that the latter are usually seen as general, in the sense that they do not rely on specific values of the model’s parameters. However, they come at the cost of restricting the choice of the model to the class of so-called tractable differential games. Our aim is to discuss briefly the tools available for obtaining analytical results and to give an account of a number of (recent and earlier) developments in DG that, by and large, have not been used in these fields.