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In this paper, we introduce a new variant of the $p$-median facility location problem in which it is assumed that the exact location of the potential facilities is unknown. Instead, each of the facilities must be located in a region around…

Optimization and Control · Mathematics 2017-10-24 Víctor Blanco

We consider a setting where goods are allocated to agents by way of an allocation platform (e.g., a matching platform). An ``allocation facilitator'' aims to increase the overall utility/social-good of the allocation by encouraging (some of…

Computer Science and Game Theory · Computer Science 2025-08-27 Yohai Trabelsi , Abhijin Adiga , Yonatan Aumann , Sarit Kraus , S. S. Ravi

In this paper, we analyze the convergence of a distributed Robbins-Monro algorithm for both constrained and unconstrained optimization in multi-agent systems. The algorithm searches for local minima of a (nonconvex) objective function which…

Information Theory · Computer Science 2011-04-20 Pascal Bianchi , Jérémie Jakubowicz

We consider the problem of estimation of a function by a system consisting of two agents and a fusion center. The two agents collect data comprising of samples of an independent variable and the corresponding value of a dependent variable.…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Aneesh Raghavan , Karl Henrik Johansson

This work focuses on the problem of distributed optimization in multi-agent cyberphysical systems, where a legitimate agent's iterates are influenced both by the values it receives from potentially malicious neighboring agents, and by its…

Robotics · Computer Science 2025-01-16 Michal Yemini , Angelia Nedić , Andrea J. Goldsmith , Stephanie Gil

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

In a facility game one or more facilities are placed in a metric space to serve a set of selfish agents whose addresses are their private information. In a classical facility game, each agent wants to be as close to a facility as possible,…

Computer Science and Game Theory · Computer Science 2015-03-26 Yukun Cheng , Sanming Zhou

We consider a voting problem in which a set of agents have metric preferences over a set of alternatives, and are also partitioned into disjoint groups. Given information about the preferences of the agents and their groups, our goal is to…

Computer Science and Game Theory · Computer Science 2024-04-23 Georgios Amanatidis , Elliot Anshelevich , Christopher Jerrett , Alexandros A. Voudouris

This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the…

Optimization and Control · Mathematics 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

We establish and analyze a service center location model with a simple but novel decision-dependent demand induced from a maximum attraction principle. The model formulations are investigated in the distributionally-robust optimization…

Optimization and Control · Mathematics 2021-07-09 Fengqiao Luo

In this paper, we propose a distributed algorithm to control a team of cooperating robots aiming to protect a target from a set of intruders. Specifically, we model the strategy of the defending team by means of an online optimization…

Robotics · Computer Science 2023-04-28 Lorenzo Pichierri , Guido Carnevale , Lorenzo Sforni , Andrea Testa , Giuseppe Notarstefano

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

Optimization and Control · Mathematics 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

In this paper, we study a distributed optimization problem for a class of high-order multi-agent systems with unknown dynamics. In comparison with existing results for integrators or linear agents, we need to overcome the difficulties…

Optimization and Control · Mathematics 2019-02-05 Yutao Tang

We consider the following problem - a group of mobile agents perform some task on a terrain modeled as a graph. In a given moment of time an adversary gets an access to the graph and positions of the agents. Shortly before adversary's…

Multiagent Systems · Computer Science 2016-11-15 Karol Gotfryd , Marek Klonowski , Dominik Pająk

We address the problem of distributed cooperative localization in wireless networks, i.e. nodes without prior position knowledge (agents) wish to determine their own positions. In non-cooperative approaches, positioning is only based on…

Signal Processing · Electrical Eng. & Systems 2018-02-09 Rico Mendrzik , Gerhard Bauch

In this work, we design distributed control laws for spatial self-organization of multi-agent swarms in 1D and 2D spatial domains. The objective is to achieve a desired density distribution over a simply-connected spatial domain. Since…

Optimization and Control · Mathematics 2018-08-15 Vishaal Krishnan , Sonia Martínez

We consider the strategyproof facility location problem on a circle. We focus on the case of 5 agents, and find a tight bound for the PCD strategyproof mechanism, which selects the reported location of an agent in proportion to the length…

Multiagent Systems · Computer Science 2025-10-21 Ido Farjoun , Reshef Meir

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

Optimization and Control · Mathematics 2016-07-19 Sina Khoshfetrat Pakazad , Emre Özkan , Carsten Fritsche , Anders Hansson , Fredrik Gustafsson

We study a non-cooperative two-sided facility location game in which facilities and clients behave strategically. This is in contrast to many other facility location games in which clients simply visit their closest facility. Facility…

Computer Science and Game Theory · Computer Science 2024-06-14 Simon Krogmann , Pascal Lenzner , Alexander Skopalik

This article discusses the algorithms for finding the optimal solution of problems related to the location of temporary storage of goods, warehouses, factories for processing raw materials and shops selling the final product in the…

Optimization and Control · Mathematics 2019-04-09 Oleg Malafeyev , Schenikova Snezhana