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We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

投资组合管理 · 定量金融 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

We consider a two-road dynamic routing game where the state of one of the roads (the "risky road") is stochastic and may change over time. This generates room for experimentation. A central planner may wish to induce some of the (finite…

计算机科学与博弈论 · 计算机科学 2020-01-13 Emily Meigs , Francesca Parise , Asuman Ozdaglar , Daron Acemoglu

Balancing traffic flow by influencing drivers' route choices to alleviate congestion is becoming increasingly more appealing in urban traffic planning. Here, we introduce a discrete dynamical model comprising users who make their own…

物理与社会 · 物理学 2020-09-09 Bo Li , David Saad , Andrey Y. Lokhov

Dynamic decisions are pivotal to economic policy making. We show how existing evidence from randomized control trials can be utilized to guide personalized decisions in challenging dynamic environments with budget and capacity constraints.…

计量经济学 · 经济学 2024-11-26 Karun Adusumilli , Friedrich Geiecke , Claudio Schilter

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

最优化与控制 · 数学 2022-08-16 Simone Göttlich , Thomas Schillinger

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

神经元与认知 · 定量生物学 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

最优化与控制 · 数学 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

最优化与控制 · 数学 2018-07-19 Yingdong Lu

In this paper, we study platforms where resources and jobs are spatially distributed, and resources have the flexibility to strategically move to different locations for better payoffs. The price of the service at each location depends on…

计算机科学与博弈论 · 计算机科学 2023-07-18 Ozan Candogan , Manxi Wu

Day-to-day traffic dynamics are widely used to model flow evolution due to travelers' learning and adjustment behavior, yet empirical analysis of these models often relies on descriptive calibration with limited inferential content. This…

最优化与控制 · 数学 2026-05-05 Minghui Wu , Yafeng Yin , Jerome P. Lynch , Zhichen Liu

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

Users' behavioral footprints online enable firms to discover behavior-based user segments (or, segments) and deliver segment specific messages to users. Following the discovery of segments, delivery of messages to users through preferred…

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

系统与控制 · 电气工程与系统科学 2021-08-24 Prakash Mallick , Zhiyong Chen

How to design tolls that induce socially optimal traffic loads with dynamically arriving travelers who make selfish routing decisions? We propose a two-timescale discrete-time stochastic dynamics that adaptively adjusts the toll prices on a…

系统与控制 · 电气工程与系统科学 2021-10-19 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

The goal of this article is to investigate how human participants allocate their limited time to decisions with different properties. We report the results of two behavioral experiments. In each trial of the experiments, the participant…

神经元与认知 · 定量生物学 2016-07-20 Arash Khodadadi , Pegah Fakhari , Jerome R. Busemeyer

A new stochastic control problem of population dynamics under partial observation is formulated and analyzed both mathematically and numerically, with an emphasis on environmental and ecological problems. The decision-maker can only…

最优化与控制 · 数学 2020-04-13 Hidekazu Yoshioka , Yuta Yaegashi , Motoh Tsujimura

In this paper, we apply the stochastic search dynamic optimization framework for steering opinion dynamics in a partially active population. The framework is grounded on stochastic optimization theory and relies on sampling of candidate…

最优化与控制 · 数学 2022-04-08 Ziyi Wang , Evangelos A. Theodorou

Human dynamics is known to be inhomogeneous and bursty but the detailed understanding of the role of human factors in bursty dynamics is still lacking. In order to investigate their role we devise an agent-based model, where an agent in an…

物理与社会 · 物理学 2012-01-06 Hang-Hyun Jo , Eunyoung Moon , Kimmo Kaski

We study stochastic dynamical systems in settings where only partial statistical information about the noise is available, e.g., in the form of a limited number of noise realizations. Such systems are particularly challenging to analyze and…

最优化与控制 · 数学 2023-04-06 Liviu Aolaritei , Nicolas Lanzetti , Florian Dörfler