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We consider a car-following model described by a delay difference equation and give its exact solutions that present propagation of a traffic jam. This model is a discrete-time version of the delayed optimal-velocity model; in the continuum…

Cellular Automata and Lattice Gases · Physics 2015-09-29 Keisuke Matsuya , Masahiro Kanai

Model alignment is currently applied in a vacuum, evaluated primarily through standardised benchmark performance. The purpose of this study is to examine the effects of alignment on populations of models through time. We focus on the…

Artificial Intelligence · Computer Science 2026-04-08 Jonathan Elsworth Eicher

By the theory of pseudoinverse matrices and orthoprojectors, we establish a criterion for the solvability and find the general form of solutions of an integrodifferential equation with with impulse action and control. The general form of…

Optimization and Control · Mathematics 2023-11-17 Ivanna Bondar

Indirect experiments provide a valuable framework for estimating treatment effects in situations where conducting randomized control trials (RCTs) is impractical or unethical. Unlike RCTs, indirect experiments estimate treatment effects by…

Machine Learning · Computer Science 2023-12-06 Yash Chandak , Shiv Shankar , Vasilis Syrgkanis , Emma Brunskill

The long-term impact of algorithmic decision making is shaped by the dynamics between the deployed decision rule and individuals' response. Focusing on settings where each individual desires a positive classification---including many…

Computer Science and Game Theory · Computer Science 2019-10-10 Lydia T. Liu , Ashia Wilson , Nika Haghtalab , Adam Tauman Kalai , Christian Borgs , Jennifer Chayes

This paper studies constrained optimal impulse control problems of a deterministic system described by a (semi)flow, where the performance measures are the discounted total costs including both the costs incurred with applying impulses as…

Optimization and Control · Mathematics 2025-04-28 Alexey Piunovskiy , Yi Zhang

Effective load balancing lies at the heart of many applications in operations. Frequently tackled via the balls-into-bins paradigm, seminal results established the power of two choices in load balancing: a limited amount of costly…

Optimization and Control · Mathematics 2025-06-12 Daniel Freund , Chamsi Hssaine , Jiayu Kamessi Zhao

This paper re-examines the use of response time to infer problem complexity. It revisits a canonical Wald model of optimal stopping, taking signal-to-noise ratio as a measure of problem complexity. While choice quality is monotone in…

Theoretical Economics · Economics 2024-06-19 Duarte Gonçalves

To regulate a social system comprised of self-interested agents, economic incentives are often required to induce a desirable outcome. This incentive design problem naturally possesses a bilevel structure, in which a designer modifies the…

Computer Science and Game Theory · Computer Science 2022-10-14 Boyi Liu , Jiayang Li , Zhuoran Yang , Hoi-To Wai , Mingyi Hong , Yu Marco Nie , Zhaoran Wang

Euclidean Markov decision processes are a powerful tool for modeling control problems under uncertainty over continuous domains. Finite state imprecise, Markov decision processes can be used to approximate the behavior of these infinite…

Artificial Intelligence · Computer Science 2020-06-29 Manfred Jaeger , Giorgio Bacci , Giovanni Bacci , Kim Guldstrand Larsen , Peter Gjøl Jensen

We propose a general framework for studying optimal impulse control problem in the presence of uncertainty on the parameters. Given a prior on the distribution of the unknown parameters, we explain how it should evolve according to the…

Probability · Mathematics 2017-12-06 N. Baradel , B. Bouchard , Ngoc Minh Dang

The aim of this work is to make a survey on recent sufficient optimality conditions for optimal control problems with time delays in both state and control variables. The results are obtained by transforming delayed optimal control problems…

Optimization and Control · Mathematics 2020-08-10 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

Economists modeled self-control problems in decisions of people with the time-inconsistence preferences model. They argued that the source of self-control problems could be uncertainty and temptation. This paper uses an experimental test…

General Economics · Economics 2024-02-20 Mohammad Mehdi Mousavi , Mahdi Kohan Sefidi , Shirin Allahyarkhani

This paper employs an intra-personal game-theoretic framework to investigate how decreasing impatience influences irreversible investment behaviors in a continuous-time setting. We consider a capacity expansion problem under weighted…

Mathematical Finance · Quantitative Finance 2024-09-04 Pengyu Wei , Wei Wei

We introduce a class of learning problems where the agent is presented with a series of tasks. Intuitively, if there is relation among those tasks, then the information gained during execution of one task has value for the execution of…

Machine Learning · Computer Science 2012-09-06 Christos Dimitrakakis

When the agent's observations or interactions are delayed, classic reinforcement learning tools usually fail. In this paper, we propose a simple yet new and efficient solution to this problem. We assume that, in the undelayed environment,…

Machine Learning · Computer Science 2022-05-12 Pierre Liotet , Davide Maran , Lorenzo Bisi , Marcello Restelli

Deterministic optimal impulse control problem with terminal state constraint is considered. Due to the appearance of the terminal state constraint, the value function might be discontinuous in general. The main contribution of this paper is…

Optimization and Control · Mathematics 2020-11-10 Yue Zhou , Xinwei Feng , Jiongmin Yong

We study a class of infinite horizon impulse control problems with execution delay when the dynamics of the system is described by a general adapted stochastic process. The problem is solved by means of probabilistic tools relying on the…

Probability · Mathematics 2019-05-21 Boualem Djehiche , Said Hamadene , Ibtissem Hdhiri , Helmi Zaatra

In this work, we propose a rigorous method for implementing predictor feedback controllers in nonlinear systems with unknown and arbitrarily long actuator delays. To address the analytically intractable nature of the predictor, we…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Difference-in-differences estimation is a widely used method of program evaluation. When treatment is implemented in different places at different times, researchers often use two-way fixed effects to control for location-specific and…

General Economics · Economics 2021-03-25 Pamela Jakiela