In game theory, differential games are problems related to the analysis of conflict and strategical interactions in the model of a dynamical system. In particular, in a pursuit-evasion game, one or more pursuers try to capture one or more evaders that try to avoid capture. Contests of pursuit and evasion are among the most widespread, challenging, and important optimization problems that confront mobile agents. But dynamic, stochastic, discrete-time, or discrete-space games are usually difficult to handle. Agents that pursue or evade must maintain complex sensory-motor coordination with respect to both a physical environment and a hostile opponent. Because of its extensive applications, such as searching buildings for intruders, traffic control, military strategy, surgical operation, and industrial management, a lot of research has been developed in various directions during the last three decades, not only for that concerns about the specific fields of application. In time these methods, related mathematical tools and models have been intensively studied focusing all the aspects concerning on “dynamics” in a broad sense. In compliance with this aim, we are interested in articles that explore various aspects of differentiable games and also in dynamics models.

Potential topics include but are not limited to the following:

• Differential games of pursuit and evasion with discrete dynamics
• Games for dynamic equations on time scales
• Two-person zero sum differential games with discrete dynamics (a general consideration)
• Linear-quadratic differential games
• Discrete-time dynamic games
• Stochastic discrete differential games
• Differential games described by PDE
• Applications of discrete differential games to biology; computer science; economics; engineering; management science; operations research and political science