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We study the trade-off between envy and inefficiency in repeated resource allocation settings with stochastic replenishments, motivated by real-world systems such as food banks and medical supply chains. Specifically, we consider a model in…

Optimization and Control · Mathematics 2025-09-01 Chido Onyeze , Sean R. Sinclair , Chamsi Hssaine , Siddhartha Banerjee

We examine the issue of sensitivity with respect to model parameters for the problem of utility maximization from final wealth in an incomplete Samuelson model and mainly, but not exclusively, for utility functions of positive power-type.…

Mathematical Finance · Quantitative Finance 2017-02-20 Julio Backhoff Veraguas , Francisco Silva

We investigate the supports of extremal martingale measures with pre-specified marginals in a two-period setting. First, we establish in full generality the equivalence between the extremality of a given measure $Q$ and the denseness in…

Probability · Mathematics 2019-03-08 Luciano Campi , Claude Martini

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

Robust data-driven controllers typically rely on datasets from previous experiments, which embed information on the variability of the system parameters across past operational conditions. Complementarily, data collected online can…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Ignacio Sanchez , Filiberto Fele , Daniel Limon

Dynamic, risk-based pricing can systematically exclude vulnerable consumer groups from essential resources such as health insurance and consumer credit. We show that a regulator can realign private incentives with social objectives through…

Artificial Intelligence · Computer Science 2025-06-05 Jesse Thibodeau , Hadi Nekoei , Afaf Taïk , Janarthanan Rajendran , Golnoosh Farnadi

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

This paper presents an integrated perspective on robustness in regression. Specifically, we examine the relationship between traditional outlier-resistant robust estimation and robust optimization, which focuses on parameter estimation…

Methodology · Statistics 2024-07-16 Akifumi Okuno

Motivated by how forecast errors exacerbate order fluctuations in supply chains, we leverage robust feedback controller synthesis to characterize, compute, and minimize the worst-case order fluctuation experienced by an individual supply…

Emerging Technologies · Computer Science 2024-09-16 Sarah H. Q. Li , Florian Dörfler

We formalize a framework for coordinating funding and selecting projects, the costs of which are shared among agents with quasi-linear utility functions and individual budgets. Our model contains the classical discrete participatory…

Computer Science and Game Theory · Computer Science 2023-02-24 Haris Aziz , Sujit Gujar , Manisha Padala , Mashbat Suzuki , Jeremy Vollen

Resource adequacy studies typically use standard metrics such as Loss of Load Expectation and Expected Energy Unserved to quantify the risk of supply shortfalls. This paper critiques present approaches to adequacy assessment and capacity…

Applications · Statistics 2023-09-13 Chris J. Dent , Nestor Sanchez , Aditi Shevni , Jim Q. Smith , Amy L. Wilson , Xuewen Yu

In many real-world applications of reinforcement learning (RL), deployed policies have varied impacts on different stakeholders, creating challenges in reaching consensus on how to effectively aggregate their preferences. Generalized…

Machine Learning · Computer Science 2025-07-17 Cheol Woo Kim , Jai Moondra , Shresth Verma , Madeleine Pollack , Lingkai Kong , Milind Tambe , Swati Gupta

The fair division of resources is an important age-old problem that has led to a rich body of literature. At the center of this literature lies the question of whether there exist fair mechanisms despite strategic behavior of the agents. A…

Computer Science and Game Theory · Computer Science 2017-05-16 Simina Brânzei , Vasilis Gkatzelis , Ruta Mehta

We study the modelling and valuation of surrender and other behavioural options in life insurance and pension. We place ourselves in between the two extremes of completely arbitrary intervention and optimal intervention by the policyholder.…

Mathematical Finance · Quantitative Finance 2014-12-08 Kamille Sofie Tågholt Gad , Jeppe Juhl , Mogens Steffensen

We study how tariffs affect industrial structure and welfare in an economy where sectors are complements and preferences are nonhomothetic -- two drivers of structural change. Import tariffs on a sector influence sectoral composition by…

General Economics · Economics 2025-11-18 Hayato Kato , Kensuke Suzuki , Motoaki Takahashi

The expansion of global production networks has raised many important questions about the interdependence among countries and how future changes in the world economy are likely to affect the countries' positioning in global value chains. We…

General Economics · Economics 2020-05-20 Olivera Kostoska , Viktor Stojkoski , Ljupco Kocarev

With non-controllable auto-regressive shocks, the welfare of Ramsey optimal policy is the solution of a single Riccati equation of a linear quadratic regulator. The existing theory by Hansen and Sargent (2007) refers to an additional…

Optimization and Control · Mathematics 2020-06-29 Jean-Bernard Chatelain , Kirsten Ralf

We study social welfare relations (SWRs) on an infinite population. Our main result is a new characterization of a utilitarian SWR as the \emph{largest} SWR (in terms of subset when the weak relation is viewed as a set of pairs) which…

General Economics · Economics 2024-11-08 Jeremy Goodman , Harvey Lederman

Firms are more likely to introduce products in markets where they anticipate stronger demand. They also possess information that is unobserved to researchers. This creates endogenous selection bias in the estimation of demand parameters.…

Econometrics · Economics 2026-04-13 Victor Aguirregabiria , Alessandro Iaria , Senay Sokullu

This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

Optimization and Control · Mathematics 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning