differential game

Differential games are related closely with optimal control problems.

A particular case of differential games are the games with random time horizon.

There are even continuous games, see differential game.

Statement and investigation of the time-consistency problem in n-person differential games.

For a survey of pursuit-evasion differential games see Pachter.

The problem of finding an optimal strategy in a differential game is closely related to the optimal control theory.

Differential games have been applied to economics.

Description of classes of Nash equilibrium in concrete differential games.

It was shown that the modified optimization problem can be reformulated as a discounted differential game over an infinite time interval.

A recent example is the stochastic differential game of capitalism by Leong and Huang (2010).

In applied mathematics, he worked with aerodynamics, elasticity, optimization, and differential games, which he is most known for.

Differential games of evasion.

The homicidal chauffeur problem is a classic example of a differential game played in continuous time in a continuous state space.

In game theory, differential games are a group of problems related to the modeling and analysis of conflict in the context of a dynamical system.

For a survey of applications of Stackelberg differential games to supply chain and marketing channels, see He et al. (2007).

Methods of creation of time consistent policy in long range environmental planning based upon the considered approaches for cooperative and non cooperative differential games.

Systems designed by human brains, in the sense that agents, actors, decision-makers act on the evolutionary system, as in engineering (control theory and differential games)

Further the technique of regularization was used by N.N. Krasovskii in the theory of differential games.

He is the co-author of Applied Optimal Control, and an influential researcher in differential games, pattern recognition, and discrete event dynamic systems.

His primary field of research is mathematical analysis including hyperbolic systems of conservation laws, impulsive control of Lagrangian systems, and non-cooperative differential games.

Differential games such as the continuous pursuit and evasion game are continuous games where the evolution of the players' state variables is governed by differential equations.

Petrosjan, Leon A. Differential games of pursuit, World Scientific, Singapore, London, 1993, pp.

The first to study differential games was Rufus Isaacs (1951, published 1965) and one of the first games analyzed was the 'homicidal chauffeur game'.

Derivation of the system of the first order partial differential extremal equations for the payoffs in Nash equilibrium for differential games.

In continuous time (differential games with incomplete information), the MZ operator becomes an infinitesimal operator at the core of the theory of such games.