English
Related papers

Related papers: A Prudent Framework for Understanding Risk-Awarene…

200 papers

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We…

Mathematical Finance · Quantitative Finance 2018-06-22 Michail Anthropelos , Constantinos Kardaras , Georgios Vichos

We study a demand response problem from utility (also referred to as operator)'s perspective with realistic settings, in which the utility faces uncertainty and limited communication. Specifically, the utility does not know the cost…

Optimization and Control · Mathematics 2017-08-11 Pan Li , Hao Wang , Baosen Zhang

A fundamental question in data-driven decision making is how to quantify the uncertainty of predictions in ways that can usefully inform downstream action. This interface between prediction uncertainty and decision-making is especially…

Machine Learning · Computer Science 2025-02-05 Shayan Kiyani , George Pappas , Aaron Roth , Hamed Hassani

Uncertainty reduction is vital for improving system reliability and reducing risks. To identify the best target for uncertainty reduction, uncertainty importance measure is commonly used to prioritize the significance of input variable…

Applications · Statistics 2025-06-12 Shi-Shun Chen , Xiao-Yang Li

This paper formalizes a demand response task as an optimization problem featuring a known time-varying engineering cost and an unknown (dis)comfort function. Based on this model, this paper develops a feedback-based projected gradient…

Optimization and Control · Mathematics 2020-06-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

This work proposes a novel risk-perception-aware (RPA) control design using non-rational perception of risks associated with uncertain dynamic spatial costs. We use Cumulative Prospect Theory (CPT) to model the risk perception of a decision…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Aamodh Suresh , Sonia Martinez

While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion…

Physics and Society · Physics 2008-12-02 Baosheng Yuan , Kan Chen

In this paper we study a rational inattention model in environments where the decision maker faces uncertainty about the true prior distribution over states. The decision maker seeks to select a stochastic choice rule over a finite set of…

Theoretical Economics · Economics 2023-05-08 Emerson Melo

In Demand Response programs, price incentives might not be sufficient to modify residential consumers load profile. Here, we consider that each consumer has a preferred profile and a discomfort cost when deviating from it. Consumers can…

Optimization and Control · Mathematics 2017-12-01 Paulin Jacquot , Olivier Beaude , Nadia Oudjane , Stephane Gaubert

We consider a financial model where the prices of risky assets are quoted by a representative market maker who takes into account an exogenous demand. We characterize these prices in terms of a system of BSDEs with quadratic growth. We show…

Mathematical Finance · Quantitative Finance 2016-05-05 Dmitry Kramkov , Sergio Pulido

Gilboa and Schmeidler's (1989) uncertainty aversion plays a central role in decision theory and economics, yet many inconsistent behaviors have been observed in experiments. Motivated by this, we study an axiom postulating a minimal degree…

Theoretical Economics · Economics 2025-08-22 Kensei Nakamura , Shohei Yanagita

In this paper, we consider the revealed preferences problem from a learning perspective. Every day, a price vector and a budget is drawn from an unknown distribution, and a rational agent buys his most preferred bundle according to some…

Computer Science and Game Theory · Computer Science 2012-11-20 Morteza Zadimoghaddam , Aaron Roth

We propose a risk-aware framework for multi-robot, multi-demand assignment and planning in unknown environments. Our motivation is disaster response and search-and-rescue scenarios where ground vehicles must reach demand locations as soon…

Robotics · Computer Science 2020-09-04 Vishnu D. Sharma , Maymoonah Toubeh , Lifeng Zhou , Pratap Tokekar

Reinforcement learning (RL) systems typically optimize scalar reward functions that assume precise and reliable evaluation of outcomes. However, real-world objectives--especially those derived from human preferences--are often uncertain,…

Machine Learning · Computer Science 2026-04-30 Disha Singha

Demand-side management presents significant benefits in reducing the energy load in smart grids by balancing consumption demands or including energy generation and/or storage devices in the user's side. These techniques coordinate the…

Optimization and Control · Mathematics 2016-05-06 Javier Zazo , Santiago Zazo , Sergio Valcarcel Macua

We present a new uncertainty principle for risk-aware statistical estimation, effectively quantifying the inherent trade-off between mean squared error ($\mse$) and risk, the latter measured by the associated average predictive squared…

Information Theory · Computer Science 2021-12-13 Nikolas P. Koumpis , Dionysios S. Kalogerias

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate.…

Probability · Mathematics 2008-12-02 Erhan Bayraktar , Ulrich Horst , Ronnie Sircar

Planning under uncertainty is a crucial capability for autonomous systems to operate reliably in uncertain and dynamic environments. The concern of safety becomes even more critical in healthcare settings where robots interact with human…

Robotics · Computer Science 2021-03-29 Roya Sabbagh Novin , Amir Yazdani , Andrew Merryweather , Tucker Hermans

We present an open-source solution for the operational control of drinking water distribution networks which accounts for the inherent uncertainty in water demand and electricity prices in the day-ahead market of a volatile deregulated…

Optimization and Control · Mathematics 2019-04-25 Pantelis Sopasakis , Ajay K. Sampathirao , Alberto Bemporad , Panagiotis Patrinos

As autonomous vehicles move from a simplified research setting to practical use, there exists a large gap between the dynamic behavior of a human driving and an autonomous system. Risk-aware behavior needs to naturally develop in order to…

Robotics · Computer Science 2026-05-14 Jason Gibson , Bogdan Vlahov , Patrick Spieler , Evangelos A. Theodorou