Results 201 to 210 of about 1,475 (247)

On the definition of a stochastic differential game

Mathematical Systems Theory, 1970
where t e R is the time, x ~ R" is the state variable, u = u(t) ~ R p and v = v(t) ~ R q are control variables and w = w(t, ~o)~ R" is some stochastic process defined over the probability space (f2, 0, t0, where f~ is a nonempty abstract set, 0 is a o-algebra of subsets of f2 and tz is a probability measure on 0.
Emilio Roxin, Chris P. Tsokos
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An overlapping generations stochastic differential game

Automatica, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jørgensen, Steffen, Yeung, D. W. K.
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On a problem of stochastic differential games

Journal of Optimization Theory and Applications, 1976
The process of bargaining between management and union during a strike is modelled by a nonlinear stochastic differential game. It is assumed that the two sides bargain in the mood of a cooperative game. A pair of Pareto-optimal strategies is obtained.
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Stochastic differential portfolio games

Journal of Applied Probability, 1998
We study stochastic dynamic investment games in continuous time between two investors (players) who have available two different, but possibly correlated, investment opportunities. There is a single payoff function which depends on both investors’ wealth processes.
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Optimal Play in a Stochastic Differential Game

SIAM Journal on Control and Optimization, 1981
This paper considers play in a two-person zero-sum differential game where the dynamics are given by a differential equation with additive white noise. Feedback strategies are employed. Standard results from control theory show that the maximizing player has an optimal response to any pre-announced strategy of the minimizing player.
Elliott, R. J., Davis, M. H. A.
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Switching Games of Stochastic Differential Systems

SIAM Journal on Control and Optimization, 2007
A two-player, zero-sum, switching game is formulated for general stochastic differential systems and is studied using a combined dynamic programming and viscosity solution approach. The existence of the game value is proved. For the proof of the related dynamic programming principle (DDP) for the lower and upper value functions, the measurability ...
Tang, S, Hou, SH
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Numerical Approximations for Stochastic Differential Games

SIAM Journal on Control and Optimization, 2002
The Markov chain approximation method [see for example \textit{H. J. Kushner} and \textit{P. Dupuis}, ``Numerical methods for stochastic control problems in continuous time'' (2001; Zbl 0968.93005)] is a widely used method for the numerical solution for standard forms of stochastic control problems with reflected-jump diffusion models, and converges ...
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Stochastic Differential Game Techniques

1981
The paper deals with the theory of stochastic differential games and includes a comprehensive review of the subject under discussion. The main aspects of stochastic differential games discussed in the paper are: problem formulation, solution concepts and the difficulties encountered in trying to obtain a solution.
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Stochastic Differential Games

2019
In this section we present the dynamic programming approach to stochastic differential games. We only present the case for zero sum games. For the extension to non-zero sum games, we refer to [MO].
Bernt Øksendal, Agnès Sulem
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Transboundary Emission Under Stochastic Differential Game

International Game Theory Review, 2020
In this study we provide a more robust transboundary industrial pollution reduction strategy for global emission collaborations. We consider the dynamics of each country’s quantity of pollution as a Brownian motion with Jumps to capture the systematic jumps caused by surprise effects arising from policy uncertainties within the economy. When the output
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