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In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

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

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network…

Econometrics · Economics 2026-03-11 Michael P. Leung , Hyungsik Roger Moon

We demonstrate that individual behaviors directed at the attainment of distinctiveness can in fact produce complete social conformity. We thus offer an unexpected generative mechanism for this central social phenomenon. Specifically, we…

Physics and Society · Physics 2015-03-05 Paul E. Smaldino , Joshua M. Epstein

Performing some task among a set of agents requires the use of some protocol that regulates the interactions between them. If those agents are rational, they may try to subvert the protocol for their own benefit, in an attempt to reach an…

Computer Science and Game Theory · Computer Science 2016-11-18 Josep Domingo-Ferrer , Jordi Soria-Comas , Oana Ciobotaru

Attitude change - the process by which individuals revise their evaluative stances - has been explained by a set of influential but competing verbal theories. These accounts often function as mechanism sketches: rich in conceptual detail,…

Artificial Intelligence · Computer Science 2026-04-24 Jayd Matyas , William A. Cunningham , Alexander Sasha Vezhnevets , Dean Mobbs , Edgar A. Duéñez-Guzmán , Joel Z. Leibo

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

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

A communication network is said to be "anonymous" if its agents are indistinguishable from each other; it is "dynamic" if its communication links may appear or disappear unpredictably over time. Assuming that each of the $n$ agents of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Giuseppe A. Di Luna , Giovanni Viglietta

Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement. A population protocol corresponds to a collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-20 Olivier Bournez , Philippe Chassaing , Johanne Cohen , Lucas Gerin , Xavier Koegler

Future communication networks are expected to feature autonomic (or self-organizing) mechanisms to ease deployment (self-configuration), tune parameters automatically (self-optimization) and repair the network (self-healing).…

Networking and Internet Architecture · Computer Science 2012-09-07 Richard Combes , Zwi Altman , Eitan Altman

This paper attempts to develop a graph-theoretic multi-agent perspective of population games to study the \quotes{truncation} behavior. The proposed method considers fitness of the population as a dynamical system to address the issue of…

Optimization and Control · Mathematics 2018-07-24 Prashant Bansode , Aniket Deshpande , Navdeep Singh

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

Logical models have been successfully used to describe regulatory and signaling networks without requiring quantitative data. However, existing data is insufficient to adequately define a unique model, rendering the parametrization of a…

Discrete Mathematics · Computer Science 2019-01-24 José E. R. Cury , Pedro T. Monteiro , Claudine Chaouiya

While automata theory often concerns itself with regular predicates, relations corresponding to acceptance by a finite state automaton, in this article we study the regular functions, such relations which are also functions in the…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Thomas Kern

A self-stabilizing algorithm for the minimal $\alpha$-dominating set is proposed in this paper. The $\alpha$-domination parameter has not used before in self-stabilization paradigm. Using an arbitrary graph with $n$ nodes and $m$ edges, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Badreddine Benreguia , Hamouma Moumen

In graph theory, an independent set is a subset of nodes where there are no two adjacent nodes. The independent set is maximal if no node outside the independent set can join it. In network applications, maximal independent sets can be used…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Badreddine Benreguia , Hamouma Moumen , Soheila Bouam , Chafik Arar

We study fairness in social choice settings under single-peaked preferences. Construction and characterization of social choice rules in the single-peaked domain has been extensively studied in prior works. In fact, in the single-peaked…

Computer Science and Game Theory · Computer Science 2022-07-19 Gogulapati Sreedurga , Soumyarup Sadhukhan , Souvik Roy , Yadati Narahari