Results 261 to 270 of about 2,280,119 (299)
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Noncooperative Differential Games
Milan Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Differential Game in Economics
Management Science, 1971The problem of profit maximization for two firms manufacturing the same commodity is cast as a differential game. The qualitative aspects of the equilibrium point solution of the game are then discussed with the aid of some results on ordinary differential equations.
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On the Suicidal Pedestrian Differential Game
Dynamic Games and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis Exarchos +2 more
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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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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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THE PEDESTRIAN PRINCIPLE FOR DIFFERENTIAL GAMES
International Game Theory Review, 2006A 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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On a Class of Hybrid Differential Games
Dynamic Games and Applications, 2016zbMATH 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 ReviewDifferential 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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Differential games with partial differential equations
1975Examples 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, 1979In 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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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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