Results 51 to 60 of about 617 (186)
Complexity, 2021 Considering the mind of rivalry between families, each family focuses not only on its own wealth but also on other families, especially neighbors. In this paper, we investigate the non-zero-sum mean-variance game between two families with a random ...
Wenjin Guan, Wei Yuan, Sheng Li
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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
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
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Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
wiley +1 more source
Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
wiley +1 more source
Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
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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
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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
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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
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