An FBSDE approach to market impact games with stochastic parameters
From MaRDI portal
Publication:2671645
DOI10.3934/puqr.2021012zbMath1492.91141arXiv2001.00622OpenAlexW3204570340MaRDI QIDQ2671645
Samuel Drapeau, Peng Luo, Dewen Xiong, Alexander Schied
Publication date: 3 June 2022
Published in: Probability, Uncertainty and Quantitative Risk (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00622
Applications of game theory (91A80) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Auctions, bargaining, bidding and selling, and other market models (91B26)
Related Items
A two-player portfolio tracking game ⋮ Portfolio liquidation games with self‐exciting order flow ⋮ Trading with the crowd ⋮ Closed‐loop Nash competition for liquidity
Cites Work
- Unnamed Item
- Optimal trade execution: a mean quadratic variation approach
- A control problem with fuel constraint and Dawson-Watanabe superprocesses
- Adapted solution of a backward stochastic differential equation
- Linear forward-backward stochastic differential equations with random coefficients
- Linear forward-backward stochastic differential equations
- Backward-forward stochastic differential equations
- Continuous exponential martingales and BMO
- Mean field game of controls and an application to trade crowding
- Backward-forward SDE's and stochastic differential games
- Optimal position targeting via decoupling fields
- On the convergence of closed-loop Nash equilibria to the mean field game limit
- No-dynamic-arbitrage and market impact
- Optimal Trade Execution for Time-Inconsistent Mean-Variance Criteria and Risk Functions
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- Nonzero sum linear–quadratic stochastic differential games and backward–forward equations
- Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
- General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations
- Optimal execution with nonlinear impact functions and trading-enhanced risk
- Comparison Between the Mean-Variance Optimal and the Mean-Quadratic-Variation Optimal Trading Strategies
- High-Frequency Limit of Nash Equilibria in a Market Impact Game with Transient Price Impact
- Optimal Trading with Stochastic Liquidity and Volatility
- A Market Impact Game Under Transient Price Impact
- A Non-Markovian Liquidation Problem and Backward SPDEs with Singular Terminal Conditions
- A STATE‐CONSTRAINED DIFFERENTIAL GAME ARISING IN OPTIMAL PORTFOLIO LIQUIDATION
- BSDEs with Singular Terminal Condition and a Control Problem with Constraints
- Mean‐field games with differing beliefs for algorithmic trading
This page was built for publication: An FBSDE approach to market impact games with stochastic parameters