An iterative computational scheme for solving the coupled Hamilton–Jacobi–Isaacs equations in nonzero-sum differential games of affine nonlinear systems
Sign Up to like & getrecommendations! Published in 2017 at "Decisions in Economics and Finance"
DOI: 10.1007/s10203-017-0184-x
Abstract: In this paper, we present iterative or successive approximation methods for solving the coupled Hamilton–Jacobi–Isaacs equations (HJIEs) arising in nonzero-sum differential game for affine nonlinear systems. We particularly consider the ones arising in mixed $${\mathcal… read more here.
Keywords: solving coupled; nonzero sum; jacobi isaacs; hamilton jacobi ... See more keywords
Romantic Relationships in the Ecosystem: Compassionate Goals, Nonzero-Sum Beliefs, and Change in Relationship Quality
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Personality and Social Psychology"
DOI: 10.1037/pspi0000076
Abstract: According to the egosystem-ecosystem theory of social motivation, people with ecosystem motivation believe their interpersonal relationships work in nonzero-sum ways. A longitudinal study of individuals in romantic relationships and a study of romantic couples who… read more here.
Keywords: sum beliefs; nonzero sum; relationship quality; romantic relationships ... See more keywords
An event-triggered neural critic technique for nonzero-sum game design with control constraints
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2111238
Abstract: In this paper, an event-triggered neural critic learning algorithm is investigated to address constrained nonzero-sum game problems with discrete-time nonaffine dynamics. First, in order to ensure the saturation independence of two controllers in the nonzero-sum… read more here.
Keywords: event triggered; nonzero sum; sum game; neural critic ... See more keywords
Nonzero-sum risk-sensitive stochastic differential games with discounted costs
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1796707
Abstract: Abstract We study nonzero-sum stochastic differential games with risk-sensitive discounted cost criteria. Under fairly general conditions on drift term and diffusion coefficients, we establish a Nash equilibrium in Markov strategies for the discounted cost criterion.… read more here.
Keywords: sum risk; risk sensitive; nonzero sum; stochastic differential ... See more keywords
Model-Free Solution for Inverse Linear-Quadratic Nonzero-Sum Differential Games
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2024.3491633
Abstract: This letter addresses the inverse problem for Linear-Quadratic (LQ) nonzero-sum N-player differential games, where the goal is to learn cost function parameters such that the given tuple of feedback laws, which is known to stabilize… read more here.
Keywords: linear quadratic; inverse; solution; nonzero sum ... See more keywords
$N$-Person Nonzero-Sum Games for Continuous-Time Jump Processes With Varying Discount Factors
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2864273
Abstract: This paper is concerned with the first passage discounted payoff criterion for continuous-time $N$-person nonzero-sum stochastic games in countable states and Borel action spaces, where the discount factor is nonconstant. For the game with unbounded… read more here.
Keywords: nonzero sum; continuous time; person nonzero;
Discrete-Time Nonzero-Sum Games for Multiplayer Using Policy-Iteration-Based Adaptive Dynamic Programming Algorithms
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2016.2611613
Abstract: In this paper, we investigate the nonzero-sum games for a class of discrete-time (DT) nonlinear systems by using a novel policy iteration (PI) adaptive dynamic programming (ADP) method. The main idea of our proposed PI… read more here.
Keywords: discrete time; nonzero sum; sum games; adaptive dynamic ... See more keywords
Decentralized Event-Triggered Adaptive Control of Discrete-Time Nonzero-Sum Games Over Wireless Sensor-Actuator Networks With Input Constraints
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2019.2953613
Abstract: This article studies an event-triggered communication and adaptive dynamic programming (ADP) co-design control method for the multiplayer nonzero-sum (NZS) games of a class of nonlinear discrete-time wireless sensor-actuator network (WSAN) systems subject to input constraints.… read more here.
Keywords: wireless sensor; discrete time; control; nonzero sum ... See more keywords
Event-Triggered ADP for Nonzero-Sum Games of Unknown Nonlinear Systems.
Sign Up to like & getrecommendations! Published in 2021 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2021.3071545
Abstract: For nonzero-sum (NZS) games of nonlinear systems, reinforcement learning (RL) or adaptive dynamic programming (ADP) has shown its capability of approximating the desired index performance and the optimal input policy iteratively. In this article, an… read more here.
Keywords: time; nonzero sum; event triggered; event ... See more keywords
Nash Equilibrium Seeking for Nonzero-Sum Games of Switched Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2025.3549599
Abstract: This article investigates Nash equilibrium seeking for nonzero-sum games of switched nonlinear systems. A novel cost function is presented that measures the system state cost and control cost while considering the dynamics under different switching… read more here.
Keywords: seeking nonzero; equilibrium seeking; nonzero sum; equilibrium ... See more keywords
Two-Player Nonzero-Sum Stochastic Differential Games with Switching Controls
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DOI: 10.3390/math12243976
Abstract: In this paper, a two-player nonzero-sum stochastic differential game problem is studied with both players using switching controls. A verification theorem associated with a set of variational inequalities is established as a sufficient criterion for… read more here.
Keywords: sum stochastic; two player; player nonzero; stochastic differential ... See more keywords