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We consider a broad class of stochastic imitation dynamics over networks, encompassing several well known learning models such as the replicator dynamics. In the considered models, players have no global information about the game…

Systems and Control · Computer Science 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

We study the structure and evolution of the Internet's Autonomous System (AS) interconnection topology as a game with heterogeneous players. In this network formation game, the utility of a player depends on the network structure, e.g., the…

Computer Science and Game Theory · Computer Science 2014-04-23 Eli. A. Meirom , Shie Mannor , Ariel Orda

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

I study dynamic network formation games in which agents meet stochastically and form links based on their valuation of the network. I show that these games can be represented in terms of the values agents assign to network sub-structures.…

Theoretical Economics · Economics 2025-11-19 Jose M. Betancourt

Population structure affects the outcome of natural selection. Static population structures can be described by graphs, where individuals occupy the nodes, and interactions occur along the edges. General conditions for evolutionary success…

Populations and Evolution · Quantitative Biology 2020-01-08 Benjamin Allen , Gabor Lippner , Martin A. Nowak

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Populations and Evolution · Quantitative Biology 2023-01-03 Violeta Calleja-Solanas , Nagi Khalil , Jesús Gómez-Gardeñes , Emilio Hernández-García , Sandro Meloni

In a seminal paper, Chen, Roughgarden and Valiant studied cost sharing protocols for network design with the objective to implement a low-cost Steiner forest as a Nash equilibrium of an induced cost-sharing game. One of the most intriguing…

Computer Science and Game Theory · Computer Science 2017-10-05 Tobias Harks , Anja Huber , Manuel Surek

Social storage systems are a good alternative to existing data backup systems of local, centralized, and P2P backup. In this paper, we look at two untouched aspects of social storage systems. One aspect involves modelling social storage as…

Computer Science and Game Theory · Computer Science 2018-04-11 Pramod Mane , Kapil Ahuja , Nagarajan Krishnamurthy

This paper studies the Nash stability in hedonic coalition formation games. We address the following issue: for a general problem formulation, is there any utility allocation method ensuring a Nash-stable partition? We propose the…

Computer Science and Game Theory · Computer Science 2017-11-02 Cengis Hasan , Jean-Marie Gorce , Eitan Altman

In this Letter we present a new perspective for the study of the Public Goods games on complex networks. The idea of our approach is to consider a realistic structure for the groups in which Public goods games are played. Instead of…

Physics and Society · Physics 2015-05-30 Jesús Gómez-Gardeñes , Daniele Vilone , Angel Sánchez

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen

The stable matching problem is a prototype model in economics and social sciences where agents act selfishly to optimize their own satisfaction, subject to mutually conflicting constraints. A stable matching is a pairing of adjacent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stephan Mertens

We consider evolutionary games on a population whose underlying topology of interactions is determined by a binomial random graph $G(n,p)$. Our focus is on 2-player symmetric games with 2 strategies played between the incident members of…

Combinatorics · Mathematics 2020-11-30 Jordan Chellig , Calina Durbac , Nikolaos Fountoulakis

The structure of social relations is fundamental for the construction of plausible simulation scenarios. It shapes the way actors interact and create their identity within overlapping social contexts. Each actor interacts in multiple…

Multiagent Systems · Computer Science 2015-09-14 Davide Nunes , Luis Antunes

The `random intersection graph with communities' models networks with communities, assuming an underlying bipartite structure of groups and individuals. Each group has its own internal structure described by a (small) graph, while groups…

Probability · Mathematics 2019-10-23 Remco van der Hofstad , Júlia Komjáthy , Viktória Vadon

In this paper we study social exclusion in social (information) networks using a game-theoretic approach, and study the stability of a certain class community structures that are a Nash equilibrium. The main result of our analysis shows…

Optimization and Control · Mathematics 2020-07-30 Boxuan Li , Martin Carrington , Peter Marbach

A group of $n$ agents with numerical preferences for each other are to be assigned to the $n$ seats of a dining table. We study two natural topologies:~circular (cycle) tables and panel (path) tables. For a given seating arrangement, an…

Computer Science and Game Theory · Computer Science 2023-10-10 Damien Berriaud , Andrei Constantinescu , Roger Wattenhofer

This paper investigates the role persistent arcs play for a social network to reach a global belief agreement under discrete-time or continuous-time evolution. Each (directed) arc in the underlying communication graph is assumed to be…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

We introduce and study a group formation game in which individuals/agents, driven by self-interest, team up in disjoint groups so as to be in groups of high collective strength. This strength could be group identity, reputation, or…

Computer Science and Game Theory · Computer Science 2021-09-28 Chenlan Wang , Mehrdad Moharrami , Kun Jin , David Kempe , P. Jeffrey Brantingham , Mingyan Liu

We investigate the behavior of a simple majority dynamics on networks of agents whose interaction topology exhibits a community structure. By leveraging recent advancements in the analysis of dynamics, we prove that, when the states of the…

Social and Information Networks · Computer Science 2018-12-12 Emilio Cruciani , Emanuele Natale , Giacomo Scornavacca