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We study the problem of allocating homogeneous and indivisible objects among agents with money. In particular, we investigate the relationship between egalitarian-equivalence (Pazner and Schmeidler, 1978), as a fairness concept, and…

Theoretical Economics · Economics 2025-07-15 Hinata Kurashita , Ryosuke Sakai

Motivated by the needs of resiliency, scalability, and plug-and-play operation, distributed decision-making is becoming increasingly prevalent. The problem of achieving consensus in a multi-agent system is at the core of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Vivek Khatana , Murti V. Salapaka

We study the fair division of indivisible goods with conflicts between pairs of goods, represented by a graph $G = (V, E)$. We consider ``soft'' conflicts: assigning two adjacent goods to the same agent is allowed, but we seek allocations…

Computer Science and Game Theory · Computer Science 2026-02-25 Hirotaka Yoneda , Masataka Yoneda

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

Multiagent Systems · Computer Science 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

We study the problem of distributed consensus in networks where the local agents have high-order ($n\ge 3$) integrator dynamics, and where all feedback is localized in that each agent has a bounded number of neighbors. We prove that no…

Optimization and Control · Mathematics 2019-07-05 Emma Tegling , Bassam Bamieh , Henrik Sandberg

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

Optimization and Control · Mathematics 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

The paper proves convergence to global optima for a class of distributed algorithms for nonconvex optimization in network-based multi-agent settings. Agents are permitted to communicate over a time-varying undirected graph. Each agent is…

Optimization and Control · Mathematics 2019-03-19 Brian Swenson , Soummya Kar , H. Vincent Poor , Jose' M. F. Moura

The present paper considers distributed consensus algorithms that involve N agents evolving on a connected compact homogeneous manifold. The agents track no external reference and communicate their relative state according to a…

Optimization and Control · Mathematics 2008-11-27 Alain Sarlette , Rodolphe Sepulchre

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

Computer Science and Game Theory · Computer Science 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

This paper proposes the first distributed algorithm that solves the weight-balancing problem using only finite rate and simplex communications among nodes, compliant with the directed nature of the graph edges. It is proved that the…

Optimization and Control · Mathematics 2020-03-03 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

Equitability is a fundamental notion in fair division which requires that all agents derive equal value from their allocated bundles. We study, for general (possibly non-monotone) valuations, a popular relaxation of equitability known as…

Computer Science and Game Theory · Computer Science 2025-11-11 Hadi Hosseini , Vishwa Prakash HV , Aditi Sethia , Jatin Yadav

We address the problem of determining if a discrete time switched consensus system converges for any switching sequence and that of determining if it converges for at least one switching sequence. For these two problems, we provide…

Systems and Control · Computer Science 2015-05-22 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

This paper studies the problem of finding the median of N distinct numbers distributed across networked agents. Each agent updates its estimate for the median from noisy local observations of one of the N numbers and information from…

Optimization and Control · Mathematics 2021-10-12 Shuhua Yu , Yuan Chen , Soummya Kar

We study the allocation of indivisible goods under conflicting constraints, represented by a graph. In this framework, vertices correspond to goods and edges correspond to conflicts between a pair of goods. Each agent is allocated an…

Computer Science and Game Theory · Computer Science 2025-06-18 Ayumi Igarashi , Pasin Manurangsi , Hirotaka Yoneda

The existence of EFX allocations is a major open problem in fair division, even for additive valuations. The current state of the art is that no setting where EFX allocations are impossible is known, and EFX is known to exist for ($i$)…

Computer Science and Game Theory · Computer Science 2021-03-02 Ben Berger , Avi Cohen , Michal Feldman , Amos Fiat

Allocating $m$ indivisible goods among $n$ agents is a fundamental task in fair division. Recent work of Garg and Psomas [AAMAS 2025] initiated the study of parallel algorithms for envy-free up to one good (EF1) allocations, giving NC…

Data Structures and Algorithms · Computer Science 2026-05-19 Kishen N Gowda , D Ellis Hershkowitz , Richard Z Huang , Gregory Kehne

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

In this paper we address the consensus problem in the context of networked agents whose communication graph can be split into a certain number of clusters in such a way that interactions between agents in the same clusters are cooperative,…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Giulia De Pasquale , Maria Elena Valcher

We study the fair allocation of indivisible items subject to conflict constraints. In this framework, the items are represented as the vertices of a graph, with edges corresponding to conflicts between pairs of items. Each agent is assigned…

Computer Science and Game Theory · Computer Science 2026-05-12 Sarfaraz Equbal , Rohit Gurjar , Ayumi Igarashi , Yatharth Kumar , Pasin Manurangsi , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish , Hirotaka Yoneda