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In this work, we initiate the study of \emph{smoothed analysis} of population protocols. We consider a population protocol model where an adaptive adversary dictates the interactions between agents, but with probability $p$ every such…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Gregory Schwartzman , Yuichi Sudo

In this paper we consider a variant of population protocols in which agents are allowed to be connected by edges, known as the constructors model. During an interaction between two agents the relevant connecting edge can be formed,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-01 Leszek Gasieniec , Paul Spirakis , Grzegorz Stachowiak

Population protocols are a distributed computation model in which a collection of anonymous, finite-state agents interact in randomly chosen pairs and update their states according to a fixed transition function. The computation is defined…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Michael Blondin , Michaël Cadilhac , Benjamin Courchesne , Lucie Guillou , Corto Mascle , Isa Vialard

We study exact majority consensus in the population protocol model. In this model, the system is described by a graph $G = (V,E)$ with $n$ nodes, and in each time step, a scheduler samples uniformly at random a pair of adjacent nodes to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Joel Rybicki , Jakob Solnerzik , Olivier Stietel , Robin Vacus

Population protocols are a model of distributed computing where $n$ agents, each a simple finite-state machine, interact in pairs to solve a common task against a (adversarial) interaction scheduler. This model was intensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

We revisit the majority problem in the population protocol communication model, as first studied by Angluin et al. (Distributed Computing 2008). We consider a more general version of this problem known as plurality consensus, which has…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Antoine El-Hayek , Robert Elsässer , Stefan Schmid

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

We consider the problem of multi-choice majority voting in a network of $n$ agents where each agent initially selects a choice from a set of $K$ possible choices. The agents try to infer the choice in majority merely by performing local…

Multiagent Systems · Computer Science 2019-07-17 Hamidreza Bandealinaeini , Saber Salehkaleybar

Let $G$ be a graph on $n$ nodes. In the stochastic population protocol model, a collection of $n$ indistinguishable, resource-limited nodes collectively solve tasks via pairwise interactions. In each interaction, two randomly chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-13 Dan Alistarh , Rati Gelashvili , Joel Rybicki

The population protocol model describes collections of distributed agents that interact in pairs to solve a common task. We consider a dynamic variant of this prominent model, where we assume that an adversary may change the population size…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-09 Dominik Kaaser , Maximilian Lohmann

In the stochastic population protocol model, we are given a connected graph with $n$ nodes, and in every time step, a scheduler samples an edge of the graph uniformly at random and the nodes connected by this edge interact. A fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-22 Dan Alistarh , Joel Rybicki , Sasha Voitovych

In this paper, the leader election problem in the population protocol model is considered. A leader election protocol with logarithmic stabilization time is given. Given a rough knowledge m of the population size n such that m >= \log_2 n…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Yuichi Sudo , Fukuhito Ooshita , Taisuke Izumi , Hirotsugu Kakugawa , Toshimitsu Masuzawa

We consider the problem of counting the population size in the population model. In this model, we are given a distributed system of $n$ identical agents which interact in pairs with the goal to solve a common task. In each time step, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Petra Berenbrink , Dominik Kaaser , Tomasz Radzik

We consider the standard population protocol model, where (a priori) indistinguishable and anonymous agents interact in pairs according to uniformly random scheduling. The self-stabilizing leader election problem requires the protocol to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Janna Burman , Ho-Lin Chen , Hsueh-Ping Chen , David Doty , Thomas Nowak , Eric Severson , Chuan Xu

We study uniform population protocols: networks of anonymous agents whose pairwise interactions are chosen at random, where each agent uses an identical transition algorithm that does not depend on the population size $n$. Many existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-30 David Doty , Mahsa Eftekhari

The population protocol model describes a network of $n$ anonymous agents who cannot control with whom they interact. The agents collectively solve some computational problem through random pairwise interactions, each agent updating its own…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-25 David Doty , Mahsa Eftekhari

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

Population protocols are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions in which the interacting…

Logic in Computer Science · Computer Science 2018-07-03 Michael Blondin , Javier Esparza , Antonín Kučera

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

We present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser