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We study here the dynamics (and stability) of Probabilistic Population Protocols, via the differential equations approach. We provide a quite general model and we show that it includes the model of Angluin et. al. in the case of very large…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-02 Ioannis Chatzigiannakis , Paul G. Spirakis

We consider the problem of efficiently simulating population protocols. In the population model, we are given a distributed system of $n$ agents modeled as identical finite-state machines. In each time step, a pair of agents is selected…

Data Structures and Algorithms · Computer Science 2020-05-08 Petra Berenbrink , David Hammer , Dominik Kaaser , Ulrich Meyer , Manuel Penschuck , Hung Tran

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-10 Ariel Livshits , Yoram Moses

Population protocols are networks of finite-state agents, interacting randomly, and updating their states using simple rules. Despite their extreme simplicity, these systems have been shown to cooperatively perform complex computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Dan Alistarh , Rati Gelashvili

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

In the distributed localization problem (DLP), $n$ anonymous robots (agents) $a_0, a_1, ..., a_{n-1}$ begin at arbitrary positions $p_0, ..., p_{n-1}$ in $S$, where $S$ is an Euclidean space. The primary goal in DLP is for agents to reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-09 Leszek Gąsieniec , Łukasz Kuszner , Ehsan Latif , Ramviyas Parasuraman , Paul Spirakis , Grzegorz Stachowiak

In population protocols, the underlying distributed network consists of $n$ nodes (or agents), denoted by $V$, and a scheduler that continuously selects uniformly random pairs of nodes to interact. When two nodes interact, their states are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-26 Stav Ben-Nun , Tsvi Kopelowitz , Matan Kraus , Ely Porat

We consider the population protocol model where indistinguishable state machines, referred to as agents, communicate in pairs. The communication graph specifies potential interactions (\ie communication) between agent pairs. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Haruki Kanaya , Yuichi Sudo

We investigate space-time trade-offs for population protocols in sparse interaction graphs. In complete interaction graphs, optimal space-time trade-offs are known for the leader election and exact majority problems. However, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-19 Joel Rybicki , Jakob Solnerzik , Robin Vacus

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We consider the fundamental problem of assigning distinct labels to agents in the probabilistic model of population protocols. Our protocols operate under the assumption that the size $n$ of the population is embedded in the transition…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Leszek Gasieniec , Jesper Jansson , Christos Levcopoulos , Andrzej Lingas

Oscillations often take place in populations of decision makers that are either a coordinator, who takes action only if enough others do so, or an anticoordinator, who takes action only if few others do so. Populations consisting of…

Dynamical Systems · Mathematics 2022-02-11 Pouria Ramazi , Mohammad Hossein Roohi

Protocols satisfying Local Differential Privacy (LDP) enable parties to collect aggregate information about a population while protecting each user's privacy, without relying on a trusted third party. LDP protocols (such as Google's RAPPOR)…

Cryptography and Security · Computer Science 2017-05-16 Tianhao Wang , Jeremiah Blocki , Ninghui Li , Somesh Jha

We focus on a uniform partition problem in a population protocol model. The uniform partition problem aims to divide a population into k groups of the same size, where k is a given positive integer. In the case of k=2 (called uniform…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-13 Hiroto Yasumi , Fukuhito Ooshita , Michiko Inoue

Population protocols have been introduced by Angluin et {al.} as a model of networks consisting of very limited mobile agents that interact in pairs but with no control over their own movement. A collection of anonymous agents, modeled by…

Computer Science and Game Theory · Computer Science 2009-07-20 Olivier Bournez , Jeremie Chalopin , Johanne Cohen , Xavier Koegler

We address the self-stabilizing exact majority problem in the population protocol model, introduced by Angluin, Aspnes, Diamadi, Fischer, and Peralta (2004). In this model, there are $n$ state machines, called agents, which form a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-03 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Fukuhito Ooshita , Michiko Inoue

Distributed protocols are generally parametric and can be executed on a system with any number of nodes, and hence proving their correctness becomes an infinite state verification problem. The most popular approach for verifying distributed…

Programming Languages · Computer Science 2022-11-29 Shreesha G. Bhat , Kartik Nagar

Distributed Constraint Optimization Problems (DCOPs) are a widely studied class of optimization problems in which interaction between a set of cooperative agents are modeled as a set of constraints. DCOPs are NP-hard and significant effort…

Artificial Intelligence · Computer Science 2020-09-04 Saaduddin Mahmud , Md. Mosaddek Khan , Nicholas R. Jennings

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

Machine Learning · Computer Science 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

We study the implementability problem for an expressive class of symbolic communication protocols involving multiple participants. Our symbolic protocols describe infinite states and data values using dependent refinement predicates.…

Programming Languages · Computer Science 2025-02-20 Elaine Li , Felix Stutz , Thomas Wies , Damien Zufferey