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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

Human lives are increasingly being affected by the outcomes of automated decision-making systems and it is essential for the latter to be, not only accurate, but also fair. The literature of algorithmic fairness has grown considerably over…

Machine Learning · Computer Science 2022-11-15 Ainhize Barrainkua , Paula Gordaliza , Jose A. Lozano , Novi Quadrianto

In Part I of this series, we established a rigorous mathematical isomorphism between ant colony decision-making and random forest learning, demonstrating that variance reduction through decorrelation is a universal principle shared by…

Machine Learning · Statistics 2026-04-02 Ernest Fokoué , Gregory Babbitt , Yuval Levental

We introduce the study of the ant colony house-hunting problem from a distributed computing perspective. When an ant colony's nest becomes unsuitable due to size constraints or damage, the colony must relocate to a new nest. The task of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-15 Mohsen Ghaffari , Cameron Musco , Tsvetomira Radeva , Nancy Lynch

This paper revisits a fundamental distributed computing problem in the population protocol model. Provided $n$ agents each starting with an input color in $[k]$, the relative majority problem asks to find the predominant color. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

Population diversity is crucial in evolutionary algorithms as it helps with global exploration and facilitates the use of crossover. Despite many runtime analyses showing advantages of population diversity, we have no clear picture of how…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Johannes Lengler , Andre Opris , Dirk Sudholt

In the standard model of fair allocation of resources to agents, every agent has some utility for every resource, and the goal is to assign resources to agents so that the agents' welfare is maximized. Motivated by job scheduling, interest…

Computer Science and Game Theory · Computer Science 2024-03-08 Susobhan Bandopadhyay , Aritra Banik , Sushmita Gupta , Pallavi Jain , Abhishek Sahu , Saket Saurabh , Prafullkumar Tale

Whether a population of decision-making individuals will reach a state of satisfactory decisions is a fundamental problem in studying collective behaviors. In the framework of evolutionary game theory and by means of potential functions,…

Multiagent Systems · Computer Science 2022-01-13 Negar Sakhaei , Zeinab Maleki , Pouria Ramazi

Discovering all useful solutions for a given task is crucial for transferable RL agents, to account for changes in the task or transition dynamics. This is not considered by classical RL algorithms that are only concerned with finding the…

Artificial Intelligence · Computer Science 2023-10-12 Finn Rietz , Johannes Andreas Stork

Societies often rely on human experts to take a wide variety of decisions affecting their members, from jail-or-release decisions taken by judges and stop-and-frisk decisions taken by police officers to accept-or-reject decisions taken by…

Machine Learning · Statistics 2018-05-29 Isabel Valera , Adish Singla , Manuel Gomez Rodriguez

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

Strategic diversity is often essential in games: in multi-player games, for example, evaluating a player against a diverse set of strategies will yield a more accurate estimate of its performance. Furthermore, in games with…

Artificial Intelligence · Computer Science 2021-10-11 Marta Garnelo , Wojciech Marian Czarnecki , Siqi Liu , Dhruva Tirumala , Junhyuk Oh , Gauthier Gidel , Hado van Hasselt , David Balduzzi

Collective behavior of active elements inspired by mass of biological organisms is addressed. Especially, two topics are focused on among amazing behaviors performed by colony of ants. First, task allocation phenomena are treated from the…

Populations and Evolution · Quantitative Biology 2007-05-23 T. Mizuguchi , K. Sugawara , H. Nishimori , T. Tao , T. Kazama , H. Nakagawa , Y. Hayakawa , M. Sano

The \emph{rational fair consensus problem} can be informally defined as follows. Consider a network of $n$ (selfish) \emph{rational agents}, each of them initially supporting a \emph{color} chosen from a finite set $ \Sigma$. The goal is to…

Computer Science and Game Theory · Computer Science 2017-05-29 Andrea Clementi , Luciano Gualà , Guido Proietti , Giacomo Scornavacca

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

We consider the problem of fairly allocating the vertices of a graph among $n$ agents, where the value of a bundle is determined by its cut value -- the number of edges with exactly one endpoint in the bundle. This model naturally captures…

Computer Science and Game Theory · Computer Science 2025-11-06 Hadi Hosseini , Shraddha Pathak , Yu Zhou

Efficient transportation, a hot topic in nonlinear science, is essential for modern societies and the survival of biological species. Biological evolution has generated a rich variety of successful solutions, which have inspired engineers…

Statistical Mechanics · Physics 2009-11-10 Audrey Dussutour , Vincent Fourcassie , Dirk Helbing , Jean-Louis Deneubourg

Social insect colonies and ensemble machine learning methods represent two of the most successful examples of decentralized information processing in nature and computation respectively. Here we develop a rigorous mathematical framework…

Machine Learning · Statistics 2026-03-25 Ernest Fokoué , Gregory Babbitt , Yuval Levental

Developing learning methods which do not discriminate subgroups in the population is a central goal of algorithmic fairness. One way to reach this goal is by modifying the data representation in order to meet certain fairness constraints.…

Machine Learning · Statistics 2020-02-03 Luca Oneto , Michele Donini , Andreas Maurer , Massimiliano Pontil

We study population protocols, a model of distributed computing appropriate for modeling well-mixed chemical reaction networks and other physical systems where agents exchange information in pairwise interactions, but have no control over…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 David Doty , Mahsa Eftekhari , Eric Severson