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The question of what global information must distributed rational agents a-priori know about the network in order for equilibrium to be possible is researched here. Until now, distributed algorithms with rational agents have assumed that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-10 Yehuda Afek , Shaked Rafaeli , Moshe Sulamy

We consider the distributed optimization problem in which a network of agents aims to minimize the average of local functions. To solve this problem, several algorithms have recently been proposed where agents perform various combinations…

Optimization and Control · Mathematics 2019-07-16 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

We study distributed knowledge, which is what privately informed agents come to know by communicating freely with one another and sharing everything they know. Knowledge is not necessarily partitional: agents may be boundedly rational and…

Theoretical Economics · Economics 2025-05-13 Michele Crescenzi

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

Systems and Control · Computer Science 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

This paper is mainly devoted to the distributed second-order multi-agent optimization problem with unbalanced and directed networks. To deal with this problem, a new distributed algorithm is proposed based on the local neighbor information…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Lipo Mo , Haokun Hu , Yongguang Yu , Guojian Ren

In this paper we describe a parameterized family of first-order distributed optimization algorithms that enable a network of agents to collaboratively calculate a decision variable that minimizes the sum of cost functions at each agent.…

Optimization and Control · Mathematics 2023-08-15 Israel L. Donato Ridgley , Randy A. Freeman , Kevin M. Lynch

We present a first-order theorem proving framework for establishing the correctness of functional programs implementing sorting algorithms with recursive data structures. We formalize the semantics of recursive programs in many-sorted…

Logic in Computer Science · Computer Science 2024-03-07 Pamina Georgiou , Márton Hajdu , Laura Kovács

In this paper, we study the distributed optimization problem using approximate first-order information. We suppose the agent can repeatedly call an inexact first-order oracle of each individual objective function and exchange information…

Optimization and Control · Mathematics 2022-08-26 Kui Zhu , Yichen Zhang , Yutao Tang

Multi-agent interactions, such as communication, teaching, and bluffing, often rely on higher-order social inference, i.e., understanding how others infer oneself. Such intricate reasoning can be effectively modeled through nested…

Artificial Intelligence · Computer Science 2023-08-23 Kunal Jha , Tuan Anh Le , Chuanyang Jin , Yen-Ling Kuo , Joshua B. Tenenbaum , Tianmin Shu

This paper extends off-policy reinforcement learning to the multi-agent case in which a set of networked agents communicating with their neighbors according to a time-varying graph collaboratively evaluates and improves a target policy…

Machine Learning · Computer Science 2019-11-20 Wesley Suttle , Zhuoran Yang , Kaiqing Zhang , Zhaoran Wang , Tamer Basar , Ji Liu

In distributed processing, agents generally collect data generated by the same underlying unknown model (represented by a vector of parameters) and then solve an estimation or inference task cooperatively. In this paper, we consider the…

Information Theory · Computer Science 2015-06-16 Sheng-Yuan Tu , Ali H. Sayed

Modern artificial intelligence relies on networks of agents that collect data, process information, and exchange it with neighbors to collaboratively solve optimization and learning problems. This article introduces a novel distributed…

Optimization and Control · Mathematics 2026-01-15 Diego Deplano , Nicola Bastianello , Mauro Franceschelli , Karl H. Johansson

A novel strategy aimed at cooperatively differentiating a signal among multiple interacting agents is introduced, where none of the agents needs to know which agent is the leader, i.e. the one producing the signal to be differentiated.…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Rodrigo Aldana-Lopez , David Gomez-Gutierrez , Elio Usai , Hernan Haimovich

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

To support reasoning about properties of programs operating with boolean values one needs theorem provers to be able to natively deal with the boolean sort. This way, program properties can be translated to first-order logic and theorem…

Logic in Computer Science · Computer Science 2015-10-19 Evgenii Kotelnikov , Laura Kovács , Andrei Voronkov

In several smart city applications, multiple resources must be allocated among competing agents that are coupled through such shared resources and are constrained --- either through limitations of communication infrastructure or privacy…

Systems and Control · Computer Science 2023-10-19 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

In this paper, we consider learning dictionary models over a network of agents, where each agent is only in charge of a portion of the dictionary elements. This formulation is relevant in Big Data scenarios where large dictionary models may…

Machine Learning · Computer Science 2015-06-18 Jianshu Chen , Zaid J. Towfic , Ali H. Sayed

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Distributed learning is the problem of inferring a function in the case where training data is distributed among multiple geographically separated sources. Particularly, the focus is on designing learning strategies with low computational…

Machine Learning · Statistics 2016-07-22 Simone Scardapane

We present a first-order probabilistic epistemic logic, which allows combining operators of knowledge and probability within a group of possibly infinitely many agents. The proposed framework is the first order extension of the logic of…

Logic in Computer Science · Computer Science 2019-01-23 Siniša Tomović , Zoran Ognjanović , Dragan Doder