Backward Stackelberg Games with Delay and Related Forward–Backward Stochastic Differential Equations
Mathematics, 2023 In this paper, we study a kind of Stackelberg game where the controlled systems are described by backward stochastic differential delayed equations (BSDDEs).
Li Chen, Peipei Zhou, Hua Xiao
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Pathwise Strategies for Stochastic Differential Games with an Erratum to “Stochastic Differential Games with Asymmetric Information” [PDF]
Applied Mathematics & Optimization, 2013 We introduce a new notion of pathwise strategies for stochastic differential games. This allows us to give a correct meaning to some statement asserted in [Cardaliaguet-Rainer 2009].
Rainer, Catherine, Cardaliaguet, Pierre
openaire +4 more sources
Tug of War games and PDEs on graphs with applications in image and high dimensional data processing
Scientific Reports, 2023 The aim of this note is to revisit the connections between some stochastic games, namely Tug-of-War games, and a class of nonlocal PDEs on graphs. We consider a general formulation of Tug-of-War games which is shown to be related to many classical PDEs ...
Hamza Ennaji +2 more
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Axioms, 2023 This paper discusses the multi-player non-cooperative game of nonlinear stochastic time-varying systems described by Itô-type differential equations in a finite time interval.
Xiangyun Lin +4 more
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Results in Control and Optimization, 2023 The main objective of this work is to give conditions for the existence of Nash equilibria for a nonzero-sum constrained stochastic differential game with additive structure and Markovian switchings.
Beatris Adriana Escobedo-Trujillo +4 more
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Mean-field linear-quadratic stochastic differential games [PDF]
, 2021 The paper is concerned with two-person zero-sum mean-field linear-quadratic stochastic differential games over finite horizons. By a Hilbert space method, a necessary condition and a sufficient condition are derived for the existence of an open-loop ...
Jingrui Sun, Hanxiao Wang, Zhanghua Wu
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Global existence for quadratic FBSDE systems and application to stochastic differential games [PDF]
Electronic Communications in Probability, 2021 In this note, we extend some recent results on systems of backward stochastic differential equations (BSDEs) with quadratic growth to the case of coupled forward-backward stochastic differential equations (FBSDEs). We work in a Markovian setting, and use
Joe Jackson
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Nonlocality, nonlinearity, and time inconsistency in stochastic differential games [PDF]
Social Science Research Network, 2021 This paper studies the well‐posedness of a class of nonlocal fully nonlinear parabolic systems, which nest the equilibrium Hamilton–Jacobi–Bellman (HJB) systems that characterize the time‐consistent Nash equilibrium point of a stochastic differential ...
Qian Lei, Chi Seng Pun
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REGULARITY AND SENSITIVITY FOR MCKEAN-VLASOV TYPE SPDEs GENERATED BY STABLE-LIKE PROCESSES
Проблемы анализа, 2018 In this paper we study the sensitivity of nonlinear stochastic differential equations of McKean–Vlasov type generated by stable-like processes. By using the method of stochastic characteristics, we transfer these equations to non-stochastic equations ...
V. N. Kolokoltsov, M. S. Troeva
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A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
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