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Population protocols (Angluin et al., PODC, 2004) 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…

Logic in Computer Science · Computer Science 2018-08-15 Javier Esparza , Pierre Ganty , Rupak Majumdar , Chana Weil-Kennedy

Population protocols are a well-studied model of distributed computation in which a group of anonymous finite-state agents communicates via pairwise interactions. Together they decide whether their initial configuration, that is, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Steffen van Bergerem , Roland Guttenberg , Sandra Kiefer , Corto Mascle , Nicolas Waldburger , Chana Weil-Kennedy

Extending well-structured transition systems to incorporate a probabilistic scheduling rule, we define a new class of stochastic well-structured transition systems that includes population protocols, chemical reaction networks, and many…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 James Aspnes

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

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

In their 2006 seminal paper in Distributed Computing, Angluin et al. present a construction that, given any Presburger predicate as input, outputs a leaderless population protocol that decides the predicate. The protocol for a predicate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-31 Philipp Czerner , Roland Guttenberg , Martin Helfrich , Javier Esparza

There has recently been a surge of interest in the computational and complexity properties of the population model, which assumes $n$ anonymous, computationally-bounded nodes, interacting at random, and attempting to jointly compute global…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Dan Alistarh , Martin Töpfer , Przemysław Uznański

The standard population protocol model assumes that when two agents interact, each observes the entire state of the other agent. We initiate the study of $\textit{message complexity}$ for population protocols, where the state of an agent is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-16 Talley Amir , James Aspnes , David Doty , Mahsa Eftekhari , Eric Severson

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Mikhail Raskin

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-28 Mikhail Raskin

Population protocols have been introduced by Angluin et al. as a model in which n passively mobile anonymous finite-state agents stably compute a predicate on the multiset of their inputs via interactions by pairs. The model has been…

Computational Complexity · Computer Science 2019-02-21 Olivier Bournez , Johanne Cohen , Mikaël Rabie

We consider a population of $n$ agents which communicate with each other in a decentralized manner, through random pairwise interactions. One or more agents in the population may act as authoritative sources of information, and the…

Data Structures and Algorithms · Computer Science 2017-11-30 Bartlomiej Dudek , Adrian Kosowski

We consider the model of population protocols, which can be viewed as a sequence of random pairwise interactions of $n$ agents (nodes). We show population protocols for two problems: the leader election and the exact majority voting. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-04 Andreas Bilke , Colin Cooper , Robert Elsaesser , Tomasz Radzik

The model of population protocols refers to a large collection of simple indistinguishable entities, frequently called {\em agents}. The agents communicate and perform computation through pairwise interactions. We study fast and space…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Leszek Gąsieniec , Grzegorz Stachowiak , Przemysław Uznański

Population protocols are a model of computation in which indistinguishable mobile agents interact in pairs to decide a property of their initial configuration. Originally introduced by Angluin et. al. in 2004 with a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-09 Philipp Czerner , Vincent Fischer , Roland Guttenberg

Population protocols [Angluin et al., PODC, 2004] are a model of distributed computation in which indistinguishable, finite-state agents interact in pairs to decide if their initial configuration, i.e., the initial number of agents in each…

Logic in Computer Science · Computer Science 2021-02-10 Javier Esparza , Stefan Jaax , Mikhail Raskin , Chana Weil-Kennedy

The population protocol model describes a network of anonymous agents that interact asynchronously in pairs chosen at random. Each agent starts in the same initial state $s$. We introduce the *dynamic size counting* problem: approximately…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-28 David Doty , Mahsa Eftekhari

A population protocol *stably elects a leader* if, for all $n$, starting from an initial configuration with $n$ agents each in an identical state, with probability 1 it reaches a configuration $\mathbf{y}$ that is correct (exactly one agent…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 David Doty , David Soloveichik

Population protocols are a model of distributed computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs to decide some property of their initial configuration. We investigate the behaviour of…

Formal Languages and Automata Theory · Computer Science 2024-12-17 Benno Lossin , Philipp Czerner , Javier Esparza , Roland Guttenberg , Tobias Prehn

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