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We introduce a novel algorithm for solving network utility maximization (NUM) problems that arise in resource allocation schemes over networks with known safety-critical constraints, where the constraints form an arbitrary convex and…

最优化与控制 · 数学 2024-05-21 Berkay Turan , Spencer Hutchinson , Mahnoosh Alizadeh

We consider a periodical equilibrium pricing problem for multiple firms over a planning horizon of T periods. At each period, firms set their selling prices and receive stochastic demand from consumers. Firms do not know their underlying…

计算机科学与博弈论 · 计算机科学 2024-06-07 Yongge Yang , Yu-Ching Lee , Po-An Chen

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.…

计量经济学 · 经济学 2026-04-13 Victor Aguirregabiria , Alessandro Iaria , Senay Sokullu

Evidence-based decision-making entails collecting (costly) observations about an underlying phenomenon of interest, and subsequently committing to an (informed) decision on the basis of accumulated evidence. In this setting, active sensing…

机器学习 · 统计学 2020-06-26 Daniel Jarrett , Mihaela van der Schaar

In this paper, we study the price responsiveness of electricity consumption from empirical commercial and industrial load data obtained from Texas. Employing a dynamical system perspective, we show that price responsive demand can be…

应用统计 · 统计学 2016-12-16 Jaeyong An , P. R. Kumar , Le Xie

This paper introduces a framework for modeling the cost of information acquisition based on the principle of cost-minimization. We study the reduced-form \emph{indirect cost} of information generated by the sequential minimization of a…

理论经济学 · 经济学 2025-11-10 Alexander W. Bloedel , Weijie Zhong

Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient…

机器学习 · 统计学 2026-02-02 Wenbin Zhou , Shixiang Zhu

We develop a nonparametric approach to identify and estimate consumer preferences and unobserved heterogeneity under nonlinear price schedules. Leveraging variation across multiple price schedules, we show that both the utility function and…

计量经济学 · 经济学 2026-04-29 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

Inventory control with unknown demand distribution is considered, with emphasis placed on the case involving discrete nonperishable items. We focus on an adaptive policy which in every period uses, as much as possible, the optimal…

机器学习 · 统计学 2015-10-23 Michael N. Katehakis , Jian Yang , Tingting Zhou

Safety assurance is critical in the planning and control of robotic systems. For robots operating in the real world, the safety-critical design often needs to explicitly address uncertainties and the pre-computed guarantees often rely on…

机器人学 · 计算机科学 2024-07-09 Hao Zhou , Yanze Zhang , Wenhao Luo

When modeling the demand in revenue management systems, a natural approach is to focus on a canonical interval of time, such as a week, so that we forecast the demand over each week in the selling horizon. Ideally, we would like to use…

最优化与控制 · 数学 2024-09-09 Weiyuan Li , Paat Rusmevichientong , Huseyin Topaloglu

This paper introduces a new type of risk measures, namely regime switching entropic risk measures, and study their applicability through simulations. The state of the economy is incorporated into the entropic risk formulation by using a…

风险管理 · 定量金融 2021-12-28 Babacar Seck , Robert J. Elliott

Bayesian models of behavior have provided computational level explanations in a range of psychophysical tasks. One fundamental experimental paradigm is the production or reproduction task, in which subjects are instructed to generate an…

机器学习 · 计算机科学 2022-01-03 Nils Neupärtl , Constantin A. Rothkopf

We revisit the classical Merton consumption--investment problem when risky-asset returns are modeled by stochastic differential equations interpreted through a general $\alpha$-integral, interpolating between It\^{o}, Stratonovich, and…

数理金融 · 定量金融 2026-02-10 Mario Ayala , Benjamin Vallejo Jiménez

In this paper, we consider Markov Decision Processes (MDPs) with error states. Error states are those states entering which is undesirable or dangerous. We define the risk with respect to a policy as the probability of entering such a state…

机器学习 · 计算机科学 2011-09-13 P. Geibel , F. Wysotzki

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations…

系统与控制 · 电气工程与系统科学 2022-11-23 Margaret P. Chapman , Dionysios S. Kalogerias

Inflation exhibits state-dependent, skewed, and fat-tailed dynamics that make risk a central concern for monetary policy. Accordingly, inflation risks are distributional and cannot be fully captured by mean-based models. We propose a…

计量经济学 · 经济学 2026-01-29 Yunyun Wang , Tatsushi Oka , Dan Zhu

A combination of a priority queueing model and mean field theory shows the emergence of traders' swarm behavior, even when each has a subjective prediction of the market driven by a limit order book. Using a nonlinear Markov model, we…

交易与市场微观结构 · 定量金融 2017-03-07 Hiroshi Toyoizumi

We consider a retailer running a switchback experiment for the price of a single product, with infinite supply. In each period, the seller chooses a price $p$ from a set of predefined prices that consist of a reference price and a few…

计算机科学与博弈论 · 计算机科学 2024-10-22 Yifan Wu , Ramesh Johari , Vasilis Syrgkanis , Gabriel Y. Weintraub

Building interpretable parameterizations of real-world decision-making on the basis of demonstrated behavior -- i.e. trajectories of observations and actions made by an expert maximizing some unknown reward function -- is essential for…

机器学习 · 计算机科学 2021-03-31 Ioana Bica , Daniel Jarrett , Alihan Hüyük , Mihaela van der Schaar
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