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Journal of Differential Equations, 1972 Consider a stochastic differential system of \(m\) equations \[ d\xi(t)=f(t,\xi(t), y_1,\ldots, y_N)\,dt+ \sigma(t, \xi(t))\,dw(t),\quad \xi(s) =x_0, \] where the player \(y_i\) chooses a control function with values in a control set \(Y_i\). Denote by \(\tau\) the exit time of \(\xi(t)\) from a cylinder \(\{s
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Advances in Difference Equations, 2017 This paper is concerned with a non-zero sum differential game problem of an anticipated forward-backward stochastic differential delayed equation under partial information.
Yi Zhuang
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Two-Player Nonzero-Sum Stochastic Differential Games with Switching Controls
MathematicsIn 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 Nash
Yongxin Liu, Hui Min
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A stochastic differential reinsurance game [PDF]
Journal of Applied Probability, 2010 We study a stochastic differential game between two insurance companies who employ reinsurance to reduce the risk of exposure. Under the assumption that the companies have large insurance portfolios compared to any individual claim size, their surplus processes can be approximated by stochastic differential equations.
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Value in mixed strategies for zero-sum stochastic differential games without Isaacs condition [PDF]
, 2014 In the present work, we consider 2-person zero-sum stochastic differential games with a nonlinear pay-off functional which is defined through a backward stochastic differential equation.
Buckdahn, Rainer +2 more
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Stochastic differential games with inside information
, 2015 We study stochastic differential games of jump diffusions, where the players have access to inside information. Our approach is based on anticipative stochastic calculus, white noise, Hida-Malliavin calculus, forward integrals and the Donsker delta ...
Draouil, Olfa, Øksendal, Bernt
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Stackelberg strategies in linear-quadratic stochastic differential games [PDF]
, 1981 This paper obtains the Stackelberg solution to a class of two-player stochastic differential games described by linear state dynamics and quadratic objective functionals.
Bagchi, A., Basar, T.
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Maximum Principle for Forward-Backward Doubly Stochastic Control Systems and Applications [PDF]
, 2010 The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the ...
Bensoussan +22 more
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A BSDE Approach to Stochastic Differential Games with Regime Switching
, 2021 In this paper, we study a two-player zero-sum stochastic differential game with regime switching in the framework of forward-backward stochastic differential equations on a finite time horizon.
J. Y. Li, M. Tang
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Integration of Low‐Voltage Nanoscale MoS2 Memristors on CMOS Microchips
Advanced Functional Materials, EarlyView.This article presents the first monolithic integration of nanoscale MoS2‐based memristors into the back‐end‐of‐line of foundry‐fabricated CMOS microchips in a one‐transistor‐one‐resistor (1T1R) architecture. The MoS2‐based 1T1R cells exhibit forming‐free, nonvolatile resistive switching with ultra‐low operating voltages, low cycle‐to‐cycle variability ...
Jimin Lee +16 more
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