Results 61 to 70 of about 11,494 (215)
Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley +1 more source
Application of Asymptotic Analysis of a High-Dimensional HJB Equation to Portfolio Optimization
Journal of Mathematics, 2023 In this paper, we consider a portfolio optimization problem where the wealth consists of investing into a risky asset with a slow mean-reverting volatility and receiving an uncontrollable stochastic cash flow under the exponential utility.
Lei Hu
doaj +1 more source
Uniqueness Results for Second Order Bellman-Isaacs Equations under Quadratic Growth Assumptions and Applications [PDF]
, 2006 In this paper, we prove a comparison result between semicontinuous viscosity sub and supersolutions growing at most quadratically of second-order degenerate parabolic Hamilton-Jacobi-Bellman and Isaacs equations.
Alvarez Olivier +10 more
core +8 more sources
Hamilton–Jacobi–Bellman Equation under States Constraints
Journal of Mathematical Analysis and Applications, 2000 This paper is concerned with the uniqueness of discontinuous solutions of the Hamilton-Jacobi-Bellman equation \[ \begin{cases} -{\partial V\over\partial t} (t,x)+ H(t,x,{\partial V\over\partial x}(t, x))= 0,\\ V(t,x)= \psi(x)\text{ when }g(T,x)\leq 0,\end{cases} \] where \(H(t,x,p)= \sup_{v\in F(t,x)}\langle p,v\rangle\), arising in Mayer's problem ...
openaire +2 more sources
Agents' Behavior and Interest Rate Model Optimization in DeFi Lending
Mathematical Finance, Volume 36, Issue 2, Page 374-396, April 2026.ABSTRACT Contrasting sharply with traditional money, bond, and bond futures markets, where interest rates emerge organically from participant interactions, DeFi lending platforms employ rule‐based interest rates that are algorithmically set. Thus, the selection of an effective interest rate model (IRM) is paramount for the success of a lending protocol.
Charles Bertucci +4 more
wiley +1 more source
Macroscopic Market Making Games
Mathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE
, 2015 We aim to provide a Feynman-Kac type representation for Hamilton-Jacobi-Bellman equation, in terms of forward backward stochastic differential equation (FBSDE) with a simulatable forward process.
Kharroubi, Idris, Pham, Huyên
core +2 more sources
Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Canadian Journal of Statistics, Volume 54, Issue 1, March 2026.Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
wiley +1 more source
Discrete Dynamics in Nature and Society, 2013 We study the optimal investment strategies of DC pension, with the stochastic interest rate (including the CIR model and the Vasicek model) and stochastic salary. In our model, the plan member is allowed to invest in a risk-free asset, a zero-coupon bond,
Chubing Zhang, Ximing Rong
doaj +1 more source
A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal control [PDF]
, 2014 We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear ...
Addona, Davide
core +2 more sources