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In this paper we study reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry breaking cost functions. Our approach emphasizes the role of…

最优化与控制 · 数学 2022-04-14 Efstratios Stratoglou , Leonardo Colombo , Tomoki Ohsawa

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

投资组合管理 · 定量金融 2025-11-18 Lóránt Nagy , Miklós Rásonyi

In this technical note, we consider a collaborative learning framework with principal-agent setting, in which the principal at each time-step determines a set of appropriate aggregation coefficients based on how the current parameter…

机器学习 · 统计学 2024-09-25 Getachew K Befekadu

This paper addresses the finite-time non-overshooting leader-following consensus problem for multi-agent systems, whose agents are modeled by a dynamical system topologically equivalent to the integrator chain. Based on the weighted…

最优化与控制 · 数学 2024-12-12 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

This work considers a repeated principal-agent bandit game, where the principal can only interact with her environment through the agent. The principal and the agent have misaligned objectives and the choice of action is only left to the…

We consider the problem of maximising expected utility from terminal wealth in a semimartingale setting, where the semimartingale is written as a sum of a time-changed Brownian motion and a finite variation process. To solve this problem,…

概率论 · 数学 2024-07-04 Giulia Di Nunno , Hannes Haferkorn , Asma Khedher , Michèle Vanmaele

We consider continuous-time heterogeneous agent models with recursive utility (Epstein-Zin utility) cast as mean field games, in which agents prefer late resolution of uncertainty. The model leads to a system coupling a pair of…

最优化与控制 · 数学 2026-05-27 Yves Achdou , Qing Tang

We formulate and study the infinite dimensional linear programming (LP) problem associated with the deterministic discrete time long-run average criterion optimal control problem. Along with its dual, this LP problem allows one to…

最优化与控制 · 数学 2019-05-29 Vivek S. Borkar , Vladimir Gaitsgory , Ilya Shvartsman

We introduce a formalism modelling communication of distributed agents strictly in continuous-time. Within this framework, we study the problem of synthesising local strategies for individual agents such that a specified set of goal states…

分布式、并行与集群计算 · 计算机科学 2016-01-08 Holger Hermanns , Jan Krčál , Steen Vester

In the combinatorial action model of contract design, a principal delegates a complex project to an agent, incentivizing a subset of actions from a ground set of $n$ actions, via a linear contract. Computing the optimal contract is a…

计算机科学与博弈论 · 计算机科学 2026-04-17 Elizabeth Baldwin , Paul Duetting , Michal Feldman , Maya Schlesinger

We consider a contracting problem in which a principal hires an agent to manage a risky project. When the agent chooses volatility components of the output process and the principal observes the output continuously, the principal can…

投资组合管理 · 定量金融 2015-03-17 Jakša Cvitanić , Dylan Possamaï , Nizar Touzi

This paper studies optimal consensus tracking problem of heterogeneous linear multi-agent systems. By introducing tracking error dynamics, the optimal tracking problem is reformulated as finding a Nash-equilibrium solution of a multi-player…

最优化与控制 · 数学 2019-05-21 Jilie Zhang , Zhanshan Wang , Hongwei Zhang

This paper studies the optimal points in the capacity region of Gaussian multiple access channels (GMACs) with constant fading, multiple antennas and various power constraints. The points of interest maximize general rate objectives that…

信息论 · 计算机科学 2016-01-15 Daniel Calabuig , Ramy H. Gohary , Halim Yanikomeroglu

We study an intertemporal consumption and portfolio choice problem under Knightian uncertainty in which agent's preferences exhibit local intertemporal substitution. We also allow for market frictions in the sense that the pricing…

最优化与控制 · 数学 2020-11-10 Giorgio Ferrari , Hanwu Li , Frank Riedel

We investigate the problem of persistently monitoring a finite set of targets with internal states that evolve with linear stochastic dynamics using a finite set of mobile agents. We approach the problem from the infinite-horizon…

系统与控制 · 电气工程与系统科学 2019-10-01 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

A fundamental theory of deterministic linear-quadratic (LQ) control is the equivalent relationship between control problems, two-point boundary value problems and Riccati equations. In this paper, we extend the equivalence to a general…

数理金融 · 定量金融 2021-10-13 Hongyan Cai , Danhong Chen , Yunfei Peng , Wei Wei

In this article we study a class of generalised linear systems of difference equations with given non-consistent initial conditions and infinite many solutions. We take into consideration the case that the coefficients are square constant…

动力系统 · 数学 2016-12-14 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

We investigate the problem of optimally observing a finite set of targets using a mobile agent over an infinite time horizon. The agent is tasked to move in a network-constrained structure to gather information so as to minimize the…

系统与控制 · 电气工程与系统科学 2022-01-19 Samuel C. Pinto , Shirantha Welikala , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

In this paper, we consider a general time-inconsistent optimal control problem for a non homogeneous linear system, in which its state evolves according to a stochastic differential equation with deterministic coefficients, when the noise…

最优化与控制 · 数学 2015-05-19 Ishak Alia , Farid Chighoub , Ayesha Sohail

We study Bayesian automated mechanism design in unstructured dynamic environments, where a principal repeatedly interacts with an agent, and takes actions based on the strategic agent's report of the current state of the world. Both the…

计算机科学与博弈论 · 计算机科学 2021-05-14 Hanrui Zhang , Vincent Conitzer