Results 21 to 30 of about 2,821,060 (361)
Mean-field linear-quadratic stochastic differential games in an infinite horizon [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2020 This paper is concerned with two-person mean-field linear-quadratic non-zero sum stochastic differential games in an infinite horizon. Both open-loop and closed-loop Nash equilibria are introduced.
Xunjing Li, Jingtao Shi, J. Yong
semanticscholar +1 more source
Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games [PDF]
, 2015 Mean field type models describing the limiting behavior of stochastic differential games as the number of players tends to +$\infty$, have been recently introduced by J-M. Lasry and P-L. Lions.
Yves Achdou, Alessio Porretta
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HIV vs. the Immune System: A Differential Game
Mathematics, 2015 A differential game is formulated in order to model the interaction between the immune system and the HIV virus. One player is represented by the immune system of a patient subject to a therapeutic treatment and the other player is the HIV virus. The aim
Alessandra Buratto +2 more
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A Differential Game for Optimal Water Price Management
Games, 2023 This article studies a leader–follower differential game with a finite horizon, where a single buyer reacts to the selling price set by an agency (water supplier).
Andrea Caravaggio +2 more
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A probabilistic representation for the value of zero-sum differential games with incomplete information on both sides [PDF]
, 2017 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
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Mean field games models of segregation [PDF]
, 2017 This paper introduces and analyzes some models in the framework of mean field games (MFGs) describing interactions between two populations motivated by the studies on urban settlements and residential choice by Thomas Schelling.
Achdou, YVES MAURICE +2 more
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Ordering stability of Nash equilibria for a class of differential games
Open Mathematics, 2023 This study is concerned with the stability of Nash equilibria for a class of nn-person noncooperative differential games. More precisely, due to a preorder induced by a convex cone on a real linear normed space, we define a new concept called ordering ...
Jia Keke, Hong Shihuang, Yue Jieqing
doaj +1 more source
IEEE Transactions on Neural Networks and Learning Systems, 2020 Control-theoretic differential games have been used to solve optimal control problems in multiplayer systems. Most existing studies on differential games either assume deterministic dynamics or dynamics corrupted with additive noise.
Mushuang Liu +3 more
semanticscholar +1 more source
ACM Transactions on Computational Logic, 2015 Differential game logic (dG L ) is a logic for specifying and verifying properties of hybrid games , i.e., games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system dynamics to be resolved adversarially by ...
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Application of Differential Games in Mechatronic Control System
International Journal of Applied Mechanics and Engineering, 2016 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
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