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Arthur's paradigm of the El Farol bar for modeling bounded rationality and inductive behavior is undertaken. The memory horizon available to the agents and the selection criteria they utilize for the prediction algorithm are the two…

Physics and Society · Physics 2007-05-23 Canan Atilgan , Ali Rana Atilgan

This paper deals with the controllability for a class of non-autonomous neutral differential equations of fractional order with infinite delay in an abstract space. The semi-group theory of bounded linear operators, fractional calculus, and…

Optimization and Control · Mathematics 2024-03-15 Areefa Khatoon , Abdur Raheem , Asma Afreen

We consider an optimal control problem that entails the minimization of a nondifferentiable cost functional, fractional diffusion as state equation and constraints on the control variable. We provide existence, uniqueness and regularity…

Numerical Analysis · Mathematics 2017-04-05 Enrique Otárola , Abner J. Salgado

The recent success of single-agent reinforcement learning (RL) in Internet of things (IoT) systems motivates the study of multi-agent reinforcement learning (MARL), which is more challenging but more useful in large-scale IoT. In this…

Machine Learning · Computer Science 2020-09-01 Yue Xu , Zengde Deng , Mengdi Wang , Wenjun Xu , Anthony Man-Cho So , Shuguang Cui

The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\alpha >0$) is obtained through the finite element method when its parameter $h\rightarrow 0$.…

Numerical Analysis · Mathematics 2016-01-05 Mariela C. Olguin , Domingo A. Tarzia

We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations…

Analysis of PDEs · Mathematics 2019-02-12 Umberto Biccari , Dongnam Ko , Enrique Zuazua

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i)…

Optimization and Control · Mathematics 2021-08-25 Yang Lu , Minghui Zhu

This paper presents some fundamental collective choice theory for information system designers, particularly those working in the field of computer-supported cooperative work. This paper is focused on a presentation of Arrow's Possibility…

Multiagent Systems · Computer Science 2007-05-23 Walter Eaves

In this paper we study the problem of information sharing among rational self-interested agents as a dynamic game of asymmetric information. We assume that the agents imperfectly observe a Markov chain and they are called to decide whether…

Computer Science and Game Theory · Computer Science 2021-03-30 Konstantinos Ntemos , George Pikramenos , Nicholas Kalouptsidis

We consider the problem of training a classification model with group annotated training data. Recent work has established that, if there is distribution shift across different groups, models trained using the standard empirical risk…

Machine Learning · Computer Science 2022-04-21 Vihari Piratla , Praneeth Netrapalli , Sunita Sarawagi

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

This paper surveys the emerging science of how to design a ``COllective INtelligence'' (COIN). A COIN is a large multi-agent system where: (i) There is little to no centralized communication or control; and (ii) There is a provided world…

Machine Learning · Computer Science 2007-05-23 David H. Wolpert , Kagan Tumer

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicative), using generating functional techniques \`{a} la De…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. C. C. Coolen , J. A. F. Heimel , D. Sherrington

Ensemble control offers rich and diverse opportunities in mathematical systems theory. In this paper, we present a new paradigm of ensemble control, referred to as distributional control, for ensemble systems. We shift the focus from…

Optimization and Control · Mathematics 2025-04-08 Jr-Shin Li , Wei Zhang

A key issue in the control of distributed discrete systems modeled as Markov decisions processes, is that often the state of the system is not directly observable at any single location in the system. The participants in the control scheme…

Information Theory · Computer Science 2017-05-01 Jie Ren , Solmaz Torabi , John MacLaren Walsh

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

An essential task of groups is to provide efficient solutions for the complex problems they face. Indeed, considerable efforts have been devoted to the question of collective decision-making related to problems involving a single dominant…

Physics and Society · Physics 2017-04-05 Anna Zafeiris , Zsombor Koman , Enys Mones , Tamás Vicsek

This paper investigates a distributed formation control problem for networked robots, with the global objective of achieving predefined time-varying formations in an environment with obstacles. A novel fixed-time behavioral approach is…

Optimization and Control · Mathematics 2020-08-19 Ning Zhou , Xiaodong Cheng , Yuanqing Xia , Yanjun Liu

The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial…

Optimization and Control · Mathematics 2010-03-31 Xu Zhang

Modern power systems integrate renewable distributed energy resources (DERs) as an environment-friendly enhancement to meet the ever-increasing demands. However, the inherent unreliability of renewable energy renders developing DER…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Xiaotong Cheng , Ioannis Tsetis , Setareh Maghsudi