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We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

种群与进化 · 定量生物学 2018-04-04 Erdem Pulcu

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

最优化与控制 · 数学 2026-03-20 Yingjie Lan

This memoir presents a systematic study of the utility maximization problem of an investor in a constrained and unbounded financial market. Building upon the work of Hu et al. (2005) [Ann. Appl. Probab., 15, 1691--1712] in a bounded…

概率论 · 数学 2024-10-16 Ying Hu , Gechun Liang , Shanjian Tang

We develop a novel five-component decomposition of optimal dynamic portfolio choice, which reveals the simultaneous impacts from market incompleteness and wealth-dependent utilities. Under the HARA utility and a nonrandom interest rate, we…

投资组合管理 · 定量金融 2021-08-27 Chenxu Li , Olivier Scaillet , Yiwen Shen

This paper develops a risk-adjusted alternative to standard optimal policy learning (OPL) for observational data by importing Roy's (1952) safety-first principle into the treatment assignment problem. We formalize a welfare functional that…

计量经济学 · 经济学 2025-10-07 Giovanni Cerulli , Francesco Caracciolo

This paper addresses the continuous-time portfolio selection problem under generalized disappointment aversion (GDA). The implicit definition of the certainty equivalent within GDA preferences introduces time inconsistency to this problem.…

数理金融 · 定量金融 2024-03-05 Zongxia Liang , Sheng Wang , Jianming Xia , Fengyi Yuan

This survey reviews recent developments in revealed preference theory. It discusses the testable implications of theories of choice that are germane to specific economic environments. The focus is on expected utility in risky environments;…

理论经济学 · 经济学 2019-12-04 Federico Echenique

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

机器学习 · 统计学 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

概率论 · 数学 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

This paper diverges from previous literature by considering the utility maximization problem in the context of investors having the freedom to actively acquire additional information to mitigate estimation risk. We derive closed-form value…

数理金融 · 定量金融 2024-05-16 Zongxia Liang , Qi Ye

This article studies the problem of utility maximization in an incomplete market under a class of nonlinear expectations and general constraints on trading strategies. Using a $g$-martingale method, we provide an explicit solution to our…

数理金融 · 定量金融 2025-01-30 Wahid Faidi

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

数理金融 · 定量金融 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representative investor exhibits a change in the discount rate. The investment opportunities are a…

最优化与控制 · 数学 2011-07-12 Traian A. Pirvu , Huayue Zhang

In this article, inspired by Shi, et al. we investigate the optimal portfolio selection with one risk-free asset and one risky asset in a multiple period setting under cumulative prospect theory (CPT). Compared with their study, our novelty…

投资组合管理 · 定量金融 2019-03-26 Liurui Deng , Traian A. Pirvu

This paper considers a newly delayed reinsurance and investment optimization problem incorporating random risk aversion, in which an insurer pursues maximization of the expected certainty equivalent of her/his terminal wealth and the…

最优化与控制 · 数学 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multiperiod stochastic financial market setting with one tradable stock, stochastic income and a non-tradable index. The correlation…

最优化与控制 · 数学 2020-01-01 Aditya Maheshwari , Traian Pirvu

We consider the problem of optimal portfolio selection under forward investment performance criteria in an incomplete market. Given multiple traded assets, the prices of which depend on multiple observable stochastic factors, we construct a…

数理金融 · 定量金融 2018-05-15 Levon Avanesyan , Mykhaylo Shkolnikov , Ronnie Sircar

Minimizing volatility and adjustment costs is of central importance in many economic environments, yet it is often complicated by evolving feasibility constraints. We study a decision maker who repeatedly selects an action from a…

理论经济学 · 经济学 2026-02-18 Simon Jantschgi , Heinrich H. Nax , Bary S. R. Pradelski , Marek Pycia

In this research, we present an analysis of the optimal investment, consumption, and life insurance acquisition problem for a wage earner with partial information. Our study considers the non-linear filter case where risky asset prices are…

最优化与控制 · 数学 2023-04-25 Woundjiagué Apollinaire , Rodwell Kufakunesu , Julius Esunge

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

数理金融 · 定量金融 2023-03-09 Hugo E. Ramirez , Rafael Serrano