Results 231 to 240 of about 18,040 (268)

An Overview of Differential Games

1981
The paper is concerned with some general problems of differential game theory and is organized in six sections. Sections I-II include examples, descriptions of the main notions of the theory of differential games (such as dynamic system, decision-maker, available information, performance criteria etc.).
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Reflected Differential Games

SIAM Journal on Control and Optimization, 2009
This paper concerns the existence of a possible discontinuous value for a zero sum two-player reflected differential game under Isaacs condition. We characterize the value function as the unique solution—in a suitable sense—to a variational inequality, namely, the Hamilton-Jacobi-Isaacs differential inclusion.
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On the Suicidal Pedestrian Differential Game

Dynamic Games and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis Exarchos, Panagiotis Tsiotras, Meir Pachter   +2 more
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OPTIMIZATION IN DIFFERENTIAL GAMES

Russian Mathematical Surveys, 1978
OPTIMAL CONTROL IN REGULAR DYNAMICAL SYSTEMS N N Krasovskii ON THE THEORY OF DIFFERENTIAL GAMES L S Pontryagin A SHORT AUTOBIOGRAPHY OF L. S. PONTRYAGIN N Jacobson Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth) Dmitry V Anosov, Sergei M Aseev, Revaz V Gamkrelidze et al. LINEAR DIFFERENTIAL GAMES OF PURSUIT L S Pontrjagin THE LINEAR
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On a Class of Hybrid Differential Games

Dynamic Games and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Gromov, Ekaterina V. Gromova
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Differential Games with Additive Payoffs

International Game Theory Review
Differential games with additive payoffs are considered. A new approach to constructing the characteristic function for such games is defined. Properties of optimality principles such as the core and the Shapley value constructed by applying the new characteristic function are studied. The solutions obtained are demonstrated by means of an example.
Leon A. Petrosyan, Anna V. Tur
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THE PEDESTRIAN PRINCIPLE FOR DIFFERENTIAL GAMES

International Game Theory Review, 2006
A dynamic normal formulation for differential games is introduced and the "pedestrian principle" is discussed as a means of dynamically implementing the equilibrium strategy in a single game. Our formulation emphasizes the distinction between a player's rational prediction and the actual evolution of the game dynamics.
RICHARD H. STOCKBRIDGE, ZIYU ZHENG
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Uncertainty in Differential Games. [PDF]

, 2001
Differential game theory can be used to model worst-case design problems or to model situations where several interacting authorities make strategic dynamic decisions. In this thesis a number of differential game models has been introduced which can be used to model uncertainty in a differential game framework. These models are based on developments in
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Differential games with partial differential equations

1975
Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
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The princess and Monster differential game

1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1979
In this game of R. Isaacs, the players are a hider and a searcher. The payoff is the time until capture. The hider is assumed to be mobile within a bounded set $\mathcal{D}$. The searcher has an arbitrarily small detection radius. There is incomplete information in that neither player knows the present or past location of the other.
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