The paper revisits the advertising differential game suggested by Leitmann and Schmitendorf [1]. We put the model into perspective and discuss the related issues of (i) state separable (or linear-state) games and (ii) open-loop equilibria that are feedback equilibria which are constant with respect to state. 2010 Elsevier Inc. All rights reserved.

We consider the following differential game of pursuit and evasion involving two participating players: an evader, which has limited maneuverability, and an agile pursuer. The agents move on the Euclidean plane with different but constant speeds. Whereas the pursuer can change the orientation of its velocity vector arbitrarily fast, that is, he is a “pedestrian” á la Isaacs, the evader cannot m...

This work addresses the pursuit-evasion problem of capturing a Differential Drive Robot (DDR) with Dubins Car (DC) in minimum time. We model as zero-sum differential game, and using game theory, we compute time-optimal motion strategies players near end game. unveil existence three singular surfaces: an Evader’s Dispersal Surface (EDS), Transition (TS), where DDR switches its controls, Pursuer’...