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Adaptive estimation of stochastic differential games

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
We consider online estimation in the classic linear-quadratic dynamic stochastic zero sum two player game with unknown system parameters. We construct a fixed gain adaptive algorithm and give a stochastic averaging analysis of its behaviour. Previous stochastic work has not treated fixed gain algorithms which are needed in practice to enable tracking.
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Stochastic Differential Games

2014
In this chapter, we will deal with zero-sum two-player time-homogeneous stochastic differential games and viscosity solutions of the Isaacs equations arising from such games, via the dynamic programming principle.In Sect. 4.1, we are concerned with basic concepts and definitions and we introduce stochastic differential games, referring to (Controlled ...
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A stochastic differential game of capitalism

Journal of Mathematical Economics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leong, Chee Kian, Huang, Weihong
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Adaptive Stabilization of Noncooperative Stochastic Differential Games

SIAM Journal on Control and Optimization
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nian Liu, Lei Guo
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SOLUTION MECHANISMS FOR COOPERATIVE STOCHASTIC DIFFERENTIAL GAMES

International Game Theory Review, 2006
Cooperative stochastic differential games constitute a highly complex form of decision making under uncertainty. In particular, interactions between strategic behaviors, dynamic evolution, stochastic elements and solution agreement have to be considered simultaneously. This complexity leads to great difficulties in the derivation of dynamically stable
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Deterministic and Stochastic Differential Games

2016
This chapter introduces the theory of deterministic and stochastic differential games, including the dynamic optimization techniques, (stochastic) differential games and their solution concepts, which will lay a foundation for later study.
Cheng-ke Zhang   +3 more
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An approach-evasion differential game: Stochastic guide

Proceedings of the Steklov Institute of Mathematics, 2010
The differential equation \[ \dot{x}=f(t,x,u,v), t_{0}\leq t\leq \vartheta, u\in P, v\in Q, \] is approached by a positional differential game. The time \(\vartheta\) of the motion \(x[t],t_{0}\leq t\leq \vartheta\) belongs to a set \(M\) inside a set N and the evasion up to the time \(\vartheta\) of the motion \(x[t],t_{0}\leq t\leq \vartheta ...
Krasovskii, N. N., Kotel'nikova, A. N.
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Stochastic differential games in economic modeling

1994
In this paper we present two continuous-time models of economic competition which are based on a stochastic differential game formalism. We focus our presentation on the modeling possibilities offered by the frameworks of piecewise deterministic and switching diffusion control systems respectively.
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Stochastic differential game in high frequency market

Automatica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saito, Taiga, Takahashi, Akihiko
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Coalitional Stochastic Differential Games for Networks

IEEE Control Systems Letters, 2022
Julian Barreiro-Gomez, Quanyan Zhu
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