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This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

最优化与控制 · 数学 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

最优化与控制 · 数学 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

最优化与控制 · 数学 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

Flight delay is a significant issue affecting air travel. The runway system, frequently falling short of demand, serves as a bottleneck. As demand increases, runway capacity expansion becomes imperative to mitigate congestion. However, the…

系统与控制 · 电气工程与系统科学 2025-06-23 Ziyue Li , Joseph Y. J. Chow , Qianwen Guo

We study an optimal investment problem under contagion risk in a financial model subject to multiple jumps and defaults. The global market information is formulated as a progressive enlargement of a default-free Brownian filtration, and the…

概率论 · 数学 2013-02-22 Ying Jiao , Idris Kharroubi , Huyên Pham

We consider a financial market with a stock exposed to a counterparty risk inducing a drop in the price, and which can still be traded after this default time. We use a default-density modeling approach, and address in this incomplete…

概率论 · 数学 2009-03-06 Ying Jiao , Huyen Pham

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

最优化与控制 · 数学 2022-02-23 Omid Nohadani , Kartikey Sharma

Most existing generation scheduling models for power systems under demand uncertainty rely on energy-based formulations with a finite number of time periods, which may fail to ensure that power supply and demand are balanced continuously…

最优化与控制 · 数学 2025-04-02 Youngchae Cho , Insoon Yang , Takayuki Ishizaki

This paper develops a new model of business cycles. The model is economical in that it is solved with an aggregate demand-aggregate supply diagram, and the effects of shocks and policies are obtained by comparative statics. The model builds…

理论经济学 · 经济学 2022-03-22 Pascal Michaillat , Emmanuel Saez

We propose a consumption-investment decision model where past consumption peak $h$ plays a crucial role. There are two important consumption levels: the lowest constrained level and a reference level, at which the risk aversion in terms of…

投资组合管理 · 定量金融 2022-11-23 Zongxia Liang , Xiaodong Luo , Fengyi Yuan

This paper studies optimal consumption and saving decisions under uncertainty about the transition dynamics of the economic environment. We consider a general optimal savings problem in which the exogenous state governing discounting,…

理论经济学 · 经济学 2026-03-10 Qingyin Ma , Xinxin Zhang

In this paper, we assume an insure is allowed to purchase proportional reinsurance and can invest his or her wealth into the financial market where a savings account, stocks and bonds are available. Different from classical optimal…

数理金融 · 定量金融 2014-07-01 Xiaoxiao Zheng , Xin Zhang

Major events like natural catastrophes or the COVID-19 crisis have impact both on the financial market and on claim arrival intensities and claim sizes of insurers. Thus, when optimal investment and reinsurance strategies have to be…

投资组合管理 · 定量金融 2025-10-16 Nicole Bäuerle , Gregor Leimcke

Time irreversibility in neuronal dynamics has recently been demonstrated to correlate with various indicators of cognitive effort in living systems. Using Landauer's principle, which posits that time-irreversible information processing…

交易与市场微观结构 · 定量金融 2023-10-24 Michele Vodret

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. A non-Markovian environment with unbounded parameters is considered, which is more realistic in practical financial…

数理金融 · 定量金融 2025-10-27 Zixin Feng , Dejian Tian , Harry Zheng

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

数理金融 · 定量金融 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

This paper studies a risk-sensitive decision-making problem under uncertainty. It considers a decision-making process that unfolds over a fixed number of stages, in which a decision-maker chooses among multiple alternatives, some of which…

最优化与控制 · 数学 2026-01-07 Chung-Han Hsieh , Yi-Shan Wong

We consider a stochastic optimal control problem in a market model with temporary and permanent price impact, which is related to an expected utility maximization problem under finite fuel constraint. We establish the initial condition…

数理金融 · 定量金融 2015-10-13 Mourad Lazgham

We consider a discrete-time version of the popular optimal dividend pay-out problem in risk theory. The novel aspect of our approach is that we allow for a risk averse insurer, i.e., instead of maximising the expected discounted dividends…

概率论 · 数学 2015-12-02 Nicole Bäuerle , Anna Jaśkiewicz