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Hierarchy is one of the most conspicuous features of numerous natural, technological and social systems. The underlying structures are typically complex and their most relevant organizational principle is the ordering of the ties among the…

Physics and Society · Physics 2014-03-05 Tamás Nepusz , Tamás Vicsek

We develop a model to describe the development of dominance relations between social animals as they use past experiences to inform future interactions. Using the game-theoretic framework of a Hawk-Dove game with asymmetric resource-holding…

Populations and Evolution · Quantitative Biology 2013-08-27 Jasvir K. Grewal , Cameron L. Hall , Mason A. Porter , Marian S. Dawkins

Modern Reinforcement Learning (RL) algorithms are able to outperform humans in a wide variety of tasks. Multi-agent reinforcement learning (MARL) settings present additional challenges, and successful cooperation in mixed-motive groups of…

Multiagent Systems · Computer Science 2024-06-25 Ram Rachum , Yonatan Nakar , Bill Tomlinson , Nitay Alon , Reuth Mirsky

Specialization and hierarchical organization are important features of efficient collaboration in economical, artificial, and biological systems. Here, we investigate the hypothesis that both features can be explained by the fact that each…

Multiagent Systems · Computer Science 2018-09-19 Sebastian Gottwald , Daniel A. Braun

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for…

Physics and Society · Physics 2021-02-24 C. Tyler Diggans , Jeremie Fish , Erik Bollt

Hierarchical networks are prevalent in nature and society, corresponding to groups of actors - animals, humans or even robots - organised according to a pyramidal structure with decision makers at the top and followers at the bottom. While…

Physics and Society · Physics 2019-01-25 Bálint J. Tóth , Gergely Palla , Enys Mones , Gergő Havadi , Nóra Páll , Péter Pollner , Tamás Vicsek

This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This framework extends classical population games, where individuals…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Yu-Wen Chen , Nuno C. Martins , Murat Arcak

We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or…

Computer Science and Game Theory · Computer Science 2021-09-15 Pedro Cisneros-Velarde , Francesco Bullo

The outcome of many social and economic interactions, such as stock-market transactions, is strongly determined by the predictions that agents make about the behavior of other individuals. Cognitive Hierarchy Theory provides a framework to…

Physics and Society · Physics 2016-12-04 Carlos Gracia-Lázaro , Luis M. Floría , Yamir Moreno

Recent advances in deep learning have allowed artificial agents to rival human-level performance on a wide range of complex tasks; however, the ability of these networks to learn generalizable strategies remains a pressing challenge. This…

Artificial Intelligence · Computer Science 2018-01-23 Necati Alp Muyesser , Kyle Dunovan , Timothy Verstynen

Patterns of wins and losses in pairwise contests, such as occur in sports and games, consumer research and paired comparison studies, and human and animal social hierarchies, are commonly analyzed using probabilistic models that allow one…

Physics and Society · Physics 2025-11-03 Maximilian Jerdee , M. E. J. Newman

According to cognitive psychology and related disciplines, the development of complex problem-solving behaviour in biological agents depends on hierarchical cognitive mechanisms. Hierarchical reinforcement learning is a promising…

Artificial Intelligence · Computer Science 2022-08-19 Manfred Eppe , Christian Gumbsch , Matthias Kerzel , Phuong D. H. Nguyen , Martin V. Butz , Stefan Wermter

Hierarchical structures are ubiquitous in human and animal societies, but a fundamental understanding of their raison d'\^etre has been lacking. Here, we present a general theory in which hierarchies are obtained as the optimal design that…

Physics and Society · Physics 2019-06-19 Sandro Claudio Lera , Didier Sornette

Animals use a wide variety of strategies to reduce or avoid aggression in conflicts over resources. These strategies range from sharing resources without outward signs of conflict to the development of dominance hierarchies, in which…

Populations and Evolution · Quantitative Biology 2019-11-01 Cameron L. Hall , Mason A. Porter , Marian S. Dawkins

The structure of a society depends, to some extent, on the incentives of the individuals they are composed of. We study a stylized model of this interplay, that suggests that the more individuals aim at climbing the social hierarchy, the…

Physics and Society · Physics 2015-03-20 Marco Bardoscia , Giancarlo De Luca , Giacomo Livan , Matteo Marsili , Claudio J. Tessone

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

Economics · Quantitative Finance 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

We investigate a game-theoretic model of a social system where both the rules of the game and the interaction structure are shaped by the behavior of the agents. We call this type of model, with several types of feedback couplings from the…

Populations and Evolution · Quantitative Biology 2016-11-25 Sungmin Lee , Petter Holme , Zhi-Xi Wu

Cognitive Psychology and related disciplines have identified several critical mechanisms that enable intelligent biological agents to learn to solve complex problems. There exists pressing evidence that the cognitive mechanisms that enable…

Artificial Intelligence · Computer Science 2022-08-19 Manfred Eppe , Christian Gumbsch , Matthias Kerzel , Phuong D. H. Nguyen , Martin V. Butz , Stefan Wermter

This work studies the problem of ad hoc teamwork in teams composed of agents with differing computational capabilities. We consider cooperative multi-player games in which each agent's policy is constrained by a private capability…

Multiagent Systems · Computer Science 2023-04-28 Charles Jin , Zhang-Wei Hong , Farid Arthaud , Idan Orzech , Martin Rinard
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