Chair: Georges Zaccour, GERAD, HEC Montréal, Canada
Non-Linear Strategies in Differential Games: A Numerical Investigation
Javier de Frutos (firstname.lastname@example.org), Guiomar Martín-Herrán (email@example.com)
Differential games have been extensively employed to model economic problems in an ever growing number of areas including industrial organization, marketing, macroeconomic policy or environmental management problems among others. The choice of type of model is frequently driven by the tractability problem which, usually, forces the model to belong to the class of linear-state or linear-quadratic differential games. However, considering models with a more general non-linearity can lead, in some situations, to meaningful, richer conclusions extending their applicability. Numerical methods are a powerful tool to investigate non-linear differential games.
Keywords: Differential Games, Global and local solutions, Time-discrete approximation
Inspection games in a mean field setting
Vassili Kolokoltsov (V.Kolokoltsov@warwick.ac.uk), Wei Yang (firstname.lastname@example.org)
In this paper, we present a development of inspection games in a mean field setting. In our setting, there is one inspector with a continuous strategy space and a large number of interacting inspectees. The existence and uniqueness of an equilibrium of this game will be proved.
Keywords: inspection games, mean field, continuous strategy spaces