Results 81 to 90 of about 14,906 (246)

On Nonuniqueness of Solutions of Hamilton–Jacobi–Bellman Equations [PDF]

Applied Mathematics & Optimization, 2016
An example of a nonunique solution of the Cauchy problem of Hamilton-Jacobi-Bellman (HJB) equation with surprisingly regular Hamiltonian is presented. The Hamiltonian H(t,x,p) is locally Lipschitz continuous with respect to all variables, convex in p and with linear growth with respect to p and x.
openaire   +3 more sources

Fisheries Management With Many Small Firms: A Mean Field Games Approach

Natural Resource Modeling, Volume 38, Issue 4, November 2025.
ABSTRACT A challenge associated with fisheries management is when there are many potential participants, and each participant has virtually zero effect (small agents), but their collective action may be significant. Individual quotas or effort restrictions may not be well suited in such cases.
Roman Kozlov, Stein Ivar Steinshamn
wiley   +1 more source

Existence of a non‐stationary equilibrium in search‐and‐matching models: TU and NTU

Theoretical Economics, Volume 20, Issue 4, Page 1411-1460, November 2025.
This paper proves the existence of a non‐stationary equilibrium in the canonical search‐and‐matching model with heterogeneous agents. Non‐stationarity entails that the number and characteristics of unmatched agents evolve endogenously over time.
Christopher Sandmann, Nicolas Bonneton
wiley   +1 more source

Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process

Journal of Applied Mathematics, 2013
This paper studies a continuous-time dynamic mean-variance portfolio selection problem with the constraint of a higher borrowing rate, in which stock price is governed by a constant elasticity of variance (CEV) process. Firstly, we apply Lagrange duality
Hao Chang, Xi-min Rong
doaj   +1 more source

Intraday renewable electricity trading: advanced modeling and numerical optimal control

Journal of Mathematics in Industry, 2020
As an extension of (Progress in industrial mathematics at ECMI 2018, pp. 469–475, 2019), this paper is concerned with a new mathematical model for intraday electricity trading involving both renewable and conventional generation.
Silke Glas, Rüdiger Kiesel, Sven Kolkmann, Marcel Kremer, Nikolaus Graf von Luckner, Lars Ostmeier, Karsten Urban, Christoph Weber   +7 more
doaj   +1 more source

Fostering collaboration

Theoretical Economics, Volume 20, Issue 4, Page 1181-1211, November 2025.
We study project selection and development by a principal, interacting with two agents, each of whom wants his respective project selected. When the best choice is uncertain, keeping both projects alive gives the principal the ability to adapt her choice in the future, but implies an efficiency loss of effort being spent on the project finally not ...
Joyee Deb, Aditya V. Kuvalear, Elliot Lipnowski   +2 more
wiley   +1 more source

Hybrid Distributed and Decentralised Reinforcement Learning for Formation Control of Multi‐Robots With Obstacle Avoidance

CAAI Transactions on Intelligence Technology, Volume 10, Issue 5, Page 1337-1349, October 2025.
ABSTRACT Recently, learning‐based control for multi‐robot systems (MRS) with obstacle avoidance has received increasing attention. The goals of formation control and obstacle avoidance could be intrinsically tied. As a result, developing a safe and near‐optimal control policy with the actor‐critic structure is challenging.
Yaoqian Peng, Xinglong Zhang, Haibin Xie, Xin Xu   +3 more
wiley   +1 more source

Optimal retirement with long‐run income risk

Journal of Risk and Insurance, Volume 92, Issue 3, Page 581-626, September 2025.
Abstract We examine an optimal portfolio problem where an individual receives nontraded labor income and must decide how to allocate her wealth between a stock and a risk‐free asset, while also determining the optimal time to retire. Specifically, we explore how incorporating long‐run income risk by assuming that labor income and stock prices are ...
Shan Huang, Seyoung Park, Jane Yoo
wiley   +1 more source

Reinforcement learning for optimal control of stochastic nonlinear systems

AIChE Journal, Volume 71, Issue 7, July 2025.
Abstract A reinforcement learning (RL) approach is developed in this work for nonlinear systems under stochastic uncertainty. A stochastic control Lyapunov function (SCLF) candidate is first constructed using neural networks (NNs) as an approximator to the value function, and then a control policy designed using this SCLF is developed to ensure the ...
Xinji Zhu, Yujia Wang, Zhe Wu
wiley   +1 more source

Composite Learning-Based Inverse Optimal Fault-Tolerant Control for Hierarchy-Structured Unmanned Helicopters

Drones
This article investigates the inverse optimal fault-tolerant formation-containment control problem for a group of unmanned helicopters, where the leaders form a desired formation pattern under the guidance of a virtual leader while the followers move ...
Qingyi Liu, Ke Zhang, Bin Jiang, Yushun Tan   +3 more
doaj   +1 more source