Search Results - "Nie, Tianyang"
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1
Fair bilateral pricing under funding costs and exogenous collateralization
Published in Mathematical finance (01-04-2018)“…Bielecki and Rutkowski introduced and studied a generic nonlinear market model, which includes several risky assets, multiple funding accounts, and margin…”
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2
Maximum Principle for General Partial Information Nonzero Sum Stochastic Differential Games and Applications
Published in Dynamic games and applications (01-06-2022)“…We study a general kind of partial information nonzero sum two-player stochastic differential games, where the state variable is governed by a stochastic…”
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3
Forward-backward stochastic differential equation with subdifferential operator and associated variational inequality
Published in Science China. Mathematics (01-04-2015)“…We study the existence and uniqueness of the solution to a forward-backward stochastic differential equation with subdifferential operator in the backward…”
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4
Maximum principle for discrete-time stochastic control problem of mean-field type
Published in Automatica (Oxford) (01-10-2022)“…In this work, a discrete-time mean-field type stochastic optimal control problem is studied. The goal is to derive the stochastic maximum principle with convex…”
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5
A maximum principle for discrete-time stochastic optimal control problem with delay
Published in Systems & control letters (01-11-2023)“…This paper is devoted to study the maximum principle for discrete-time stochastic optimal control problem with delay. The most difficulty to this problem comes…”
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Fully-coupled mean-field FBSDE and maximum principle for related optimal control problem
Published in Systems & control letters (01-07-2023)“…In this paper, motivated by the study of Stackelberg differential game of McKean–Vlasov type, we first investigate the solvability for the mean-field…”
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7
The stochastic maximum principle for relaxed control problem with regime-switching
Published in Systems & control letters (01-11-2022)“…We study a stochastic relaxed control problem with regime-switching, in which the control enters both the drift and the diffusion coefficients. The goal is to…”
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8
A BSDE approach to fair bilateral pricing under endogenous collateralization
Published in Finance and stochastics (01-10-2016)“…Nie and Rutkowski (Int. J. Theor. Appl. Finance 18:1550048, 2015 ; Math. Finance, 2016 , to appear) examined fair bilateral pricing in models with funding…”
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9
Linear-Quadratic Delayed Mean-Field Social Optimization
Published in Applied mathematics & optimization (01-02-2024)“…A linear quadratic (LQ) stochastic optimization problem with delay involving weakly-coupled large population is investigated in this paper. Different to…”
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10
Incomplete Information Mean-Field Games and Related Riccati Equations
Published in Journal of optimization theory and applications (31-08-2024)Get full text
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11
Fractional Backward Stochastic Differential Equations and Fractional Backward Variational Inequalities
Published in Journal of theoretical probability (01-03-2015)“…In the framework of fractional stochastic calculus, we study the existence and the uniqueness of the solution for a backward stochastic differential equation,…”
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12
A stochastic approach to a new type of parabolic variational inequalities
Published in Stochastics (Abingdon, Eng. : 2005) (04-05-2015)“…We study the following quasilinear partial differential equation with two subdifferential operators: where for and The operator (resp. ) is the subdifferential…”
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13
American options in nonlinear markets
Published in Electronic journal of probability (01-01-2021)Get full text
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14
Connection between MP and DPP for stochastic recursive optimal control problems: Viscosity solution framework in local case
Published in 2016 American Control Conference (ACC) (01-07-2016)“…This paper deals with a nonsmooth version of the connection between the maximum principle and dynamic programming principle, for the stochastic recursive…”
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15
Multi-player stopping games with redistribution of payoffs and BSDEs with oblique reflection
Published in Stochastic processes and their applications (01-08-2014)“…We examine the connections between a novel class of multi-person stopping games with redistribution of payoffs and multi-dimensional reflected BSDEs in…”
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16
Stochastic Singular Linear Systems and Related Linear-Quadratic Optimal Control Problems under Finite and Infinite Horizons
Published 03-09-2024“…In this paper, we study the necessary and sufficient conditions for ensuring the well-posedness of the stochastic singular systems. Moreover, we investigate…”
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17
Reflected BSDEs and doubly reflected BSDEs driven by RCLL martingales
Published 16-03-2021“…We prove some new results on reflected BSDEs and doubly reflected BSDEs driven by a multi-dimensional RCLL martingale. The goal is to develop a general…”
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18
Existence, uniqueness and strict comparison theorems for backward stochastic differential equations driven by RCLL martingales
Published 16-03-2021“…Results on the existence, uniqueness and strict comparison for solutions to a BSDE driven by a multi-dimensional RCLL martingale are established. The goal is…”
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19
Linear-Quadratic Delayed Mean-Field Social Optimization
Published 15-01-2023“…A linear quadratic (LQ) stochastic optimization problem with delay involving weakly-coupled large population is investigated in this paper. Different to…”
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20
Linear-Quadratic Large-Population Problem with Partial Information: Hamiltonian Approach and Riccati Approach
Published 20-03-2022“…This paper studies a class of partial information linear-quadratic mean-field game problems. A general stochastic large-population system is considered, where…”
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