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In this paper, we investigate an interesting and important stopping problem mixed with stochastic controls and a \textit{nonsmooth} utility over a finite time horizon. The paper aims to develop new methodologies, which are significantly…

最优化与控制 · 数学 2015-07-06 Chonghu Guan , Xun Li , Zuoquan Xu , Fahuai Yi

In this paper we give a representation formula for the limit of the fnite horizon problem as the horizon becomes infinite, with a nonnegative Lagrangian and unbounded data. It is related to the limit of the discounted infinite horizon…

最优化与控制 · 数学 2014-07-01 Monica Motta , Caterina Sartori

This paper concerns the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the…

证券定价 · 定量金融 2016-05-17 Ewa Marciniak , Zbigniew Palmowski

In this paper, we consider a problem of contract theory in which several Principals hire a common Agent and we study the model in the continuous time setting. We show that optimal contracts should satisfy some equilibrium conditions and we…

最优化与控制 · 数学 2018-01-15 Thibaut Mastrolia , Zhenjie Ren

In this paper, we study optimal liquidation problems in a randomly-terminated horizon. We consider the liquidation of a large single-asset portfolio with the aim of minimizing a combination of volatility risk and transaction costs arising…

交易与市场微观结构 · 定量金融 2017-09-19 Qing-Qing Yang , Wai-Ki Ching , Jia-Wen Gu , Tak Kwong Wong

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

最优化与控制 · 数学 2020-06-04 Shihao Zhu , Jingtao Shi

In this article we study a finite horizon optimal control problem with monotone controls. We consider the associated Hamilton-Jacobi-Bellman (HJB) equation which characterizes the value function. We consider the totally discretized problem…

最优化与控制 · 数学 2014-07-08 Eduardo A. Philipp , Laura S. Aragone , Lisandro A. Parente

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

投资组合管理 · 定量金融 2022-03-08 Masashi Ieda

In this paper, we study the finite-horizon problem of an economic agent's optimal consumption, investment, and job-switching decisions. The key new feature of our model is that the job-switching cost is time-varying. This extension leads to…

最优化与控制 · 数学 2026-03-10 Gugyum Ha , Junkee Jeon , Jihoon Ok

We consider a general formulation of the Principal-Agent problem with a lump-sum payment on a finite horizon, providing a systematic method for solving such problems. Our approach is the following: we first find the contract that is optimal…

最优化与控制 · 数学 2017-01-10 Jakša Cvitanić , Dylan Possamaï , Nizar Touzi

We investigate the portfolio execution problem under a framework in which volatility and liquidity are both uncertain. In our model, we assume that a multidimensional Markovian stochastic factor drives both of them. Moreover, we model…

数理金融 · 定量金融 2023-08-08 Max O. Souza , Yuri Thamsten

In this paper we consider an infinite time horizon risk-sensitive optimal stopping problem for a Feller--Markov process with an unbounded terminal cost function. We show that in the unbounded case an associated Bellman equation may have…

最优化与控制 · 数学 2022-11-01 Damian Jelito , Łukasz Stettner

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

A learning technique for finite horizon optimal control problems and its approximation based on polynomials is analyzed. It allows to circumvent, in part, the curse dimensionality which is involved when the feedback law is constructed by…

最优化与控制 · 数学 2023-02-21 Karl Kunisch , Donato Vásquez-Varas

We revisit the linear programming approach to deterministic, continuous time, infinite horizon discounted optimal control problems. In the first part, we relax the original problem to an infinite-dimensional linear program over a measure…

最优化与控制 · 数学 2017-06-08 Angeliki Kamoutsi , Tobias Sutter , Peyman Mohajerin Esfahani , John Lygeros

Dynamic contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. In this paper, we extend the single-agent dynamic incentive contract model in continuous-time to a multi-agent scheme…

计量经济学 · 经济学 2017-10-10 Qi Luo , Romesh Saigal

This paper proposes a method to design an optimal dynamic contract between a principal and an agent, who has the authority to control both the principal's revenue and an engineered system. The key characteristic of our problem setting is…

最优化与控制 · 数学 2014-03-24 Insoon Yang , Duncan S. Callaway , Claire J. Tomlin

We study so{\`u}e infinite-horizon optimization problems on spaces of periodic functions for non periodic Lagrangians. The main strategy relies on the reduction to finite horizon thanks in the introduction of an avering operator.We then…

最优化与控制 · 数学 2016-02-03 Joel Blot , Abdelkader Bouadi , Bruno Nazaret

This paper investigates the dynamic reinsurance design problem under the mean-variance criterion, incorporating heterogeneous beliefs between the insurer and the reinsurer, and introducing an incentive compatibility constraint to address…

最优化与控制 · 数学 2025-08-19 Junyi Guo , Xia Han , Hao Wang

What type of delegation contract should be offered when facing a risk of the magnitude of the pandemic we are currently experiencing and how does the likelihood of an exogenous early termination of the relationship modify the terms of a…

最优化与控制 · 数学 2021-02-02 Jessica Martin , Stéphane Villeneuve