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Optimal Control and Differential Games with Measures [PDF]
We consider control problems with trajectories which involve ordinary measureable control functions and controls which are measures. The payoff involves a running cost in time and a running cost against the control measures.
Barron, E. N. +2 more
core +4 more sources
Stochastic Differential Games and Energy-Efficient Power Control [PDF]
One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The players are the
Lasaulce, Samson +2 more
core +7 more sources
A differential game of international pollution control [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ploeg, F. van der, Zeeuw, A.J. de
openaire +3 more sources
A differential game approach to intrinsic formation control
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibei Li, Xiaoming Hu 0001
openaire +2 more sources
A probabilistic representation for the value of zero-sum differential games with incomplete information on both sides [PDF]
We prove that for a class of zero-sum differential games with incomplete information on both sides, the value admits a probabilistic representation as the value of a zero-sum stochastic differential game with complete information, where both players ...
Gensbittel, Fabien, Rainer, Catherine
core +3 more sources
This article formulates the concept of games in the field of process control theory in marine sciences and reviews the literature on the possible applications of games. The possible types of game control processes for moving objects are presented.
Józef Lisowski
doaj +1 more source
Stochastic Differential Games in a Non-Markovian Setting [PDF]
Stochastic differential games are considered in a non-Markovian setting. Typically, in stochastic differential games the modulating process of the diffusion equation describing the state flow is taken to be Markovian.
Bayraktar, Erhan, Poor, H. Vincent
core +1 more source
Singular mean-field control games with applications to optimal harvesting and investment problems [PDF]
This paper studies singular mean field control problems and singular mean field stochastic differential games. Both sufficient and necessary conditions for the optimal controls and for the Nash equilibrium are obtained.
Hu, Yaozhong +2 more
core +6 more sources
Application of Differential Games in Mechatronic Control System
Differential games are a combination of game theory and optimum control methods. Their solutions are based on Bellman's principle of optimality. In this paper, the zero-sum differential game theory has been used for the purposes of controlling a ...
Z. Hendzel, P. Penar
doaj +1 more source
Cemracs 2017: numerical probabilistic approach to MFG [PDF]
This project investigates numerical methods for solving fully coupled forward-backward stochastic differential equations (FBSDEs) of McKean-Vlasov type.
Angiuli Andrea +5 more
doaj +1 more source

