URV's Author/s: | Arenas Moreno, Alejandro / Burgio, Giulio / Gómez Jiménez, Sergio / Matamalas Llodrà, Joan Tomàs |
Author, as appears in the article.: | Burgio, Giulio; Matamalas, Joan T; Gomez, Sergio; Arenas, Alex |
Author's mail: | joantomas.matamalas@urv.cat sergio.gomez@urv.cat alexandre.arenas@urv.cat |
Author identifier: | 0000-0002-7563-9269 0000-0003-1820-0062 0000-0003-0937-0334 |
Journal publication year: | 2020 |
Publication Type: | Journal Publications |
ISSN: | 1099-4300 |
APA: | Burgio, Giulio; Matamalas, Joan T; Gomez, Sergio; Arenas, Alex (2020). Evolution of cooperation in the presence of higher-order interactions: From networks to hypergraphs. Entropy, 22(7), 744-. DOI: 10.3390/e22070744 |
Papper original source: | Entropy. 22 (7): 744- |
Abstract: | © 2020 by the authors. Many real systems are strongly characterized by collective cooperative phenomena whose existence and properties still need a satisfactory explanation. Coherently with their collective nature, they call for new and more accurate descriptions going beyond pairwise models, such as graphs, in which all the interactions are considered as involving only two individuals at a time. Hypergraphs respond to this need, providing a mathematical representation of a system allowing from pairs to larger groups. In this work, through the use of different hypergraphs, we study how group interactions influence the evolution of cooperation in a structured population, by analyzing the evolutionary dynamics of the public goods game. Here we show that, likewise to network reciprocity, group interactions also promote cooperation. More importantly, by means of an invasion analysis in which the conditions for a strategy to survive are studied, we show how, in heterogeneously-structured populations, reciprocity among players is expected to grow with the increasing of the order of the interactions. This is due to the heterogeneity of connections and, particularly, to the presence of individuals standing out as hubs in the population. Our analysis represents a first step towards the study of evolutionary dynamics through higher-order interactions, and gives insights into why cooperation in heterogeneous higher-order structures is enhanced. Lastly, it also gives clues about the co-existence of cooperative and non-cooperative behaviors related to the structural properties of the interaction patterns. |
Article's DOI: | 10.3390/e22070744 |
Link to the original source: | https://www.mdpi.com/1099-4300/22/7/744 |
Papper version: | info:eu-repo/semantics/publishedVersion |
licence for use: | https://creativecommons.org/licenses/by/3.0/es/ |
Department: | Enginyeria Informàtica i Matemàtiques |
Licence document URL: | https://repositori.urv.cat/ca/proteccio-de-dades/ |
Thematic Areas: | Saúde coletiva Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicina ii Medicina i Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Information systems Geociências General physics and astronomy Filosofía Engenharias iv Engenharias iii Electrical and electronic engineering Educação física Ciências biológicas i Ciência da computação Astronomia / física |
Keywords: | Origin Hypergraphs Higher-order interactions Games Evolutionary dynamics Cooperation |
Entity: | Universitat Rovira i Virgili |
Record's date: | 2024-09-28 |
Journal volume: | 22 |
Description: | © 2020 by the authors. Many real systems are strongly characterized by collective cooperative phenomena whose existence and properties still need a satisfactory explanation. Coherently with their collective nature, they call for new and more accurate descriptions going beyond pairwise models, such as graphs, in which all the interactions are considered as involving only two individuals at a time. Hypergraphs respond to this need, providing a mathematical representation of a system allowing from pairs to larger groups. In this work, through the use of different hypergraphs, we study how group interactions influence the evolution of cooperation in a structured population, by analyzing the evolutionary dynamics of the public goods game. Here we show that, likewise to network reciprocity, group interactions also promote cooperation. More importantly, by means of an invasion analysis in which the conditions for a strategy to survive are studied, we show how, in heterogeneously-structured populations, reciprocity among players is expected to grow with the increasing of the order of the interactions. This is due to the heterogeneity of connections and, particularly, to the presence of individuals standing out as hubs in the population. Our analysis represents a first step towards the study of evolutionary dynamics through higher-order interactions, and gives insights into why cooperation in heterogeneous higher-order structures is enhanced. Lastly, it also gives clues about the co-existence of cooperative and non-cooperative behaviors related to the structural properties of the interaction patterns. |
Coverage: | Anglès |
Type: | Journal Publications |
Contributor: | Universitat Rovira i Virgili |
Títol: | Evolution of cooperation in the presence of higher-order interactions: From networks to hypergraphs |
Subject: | Electrical and Electronic Engineering,Information Systems,Mathematical Physics,Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary Origin Hypergraphs Higher-order interactions Games Evolutionary dynamics Cooperation Saúde coletiva Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicina ii Medicina i Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Information systems Geociências General physics and astronomy Filosofía Engenharias iv Engenharias iii Electrical and electronic engineering Educação física Ciências biológicas i Ciência da computação Astronomia / física |
Date: | 2020 |
Creator: | Burgio, Giulio Matamalas, Joan T Gomez, Sergio Arenas, Alex |
Rights: | info:eu-repo/semantics/openAccess |
Search your record at: |
File | Description | Format | |
---|---|---|---|
DocumentPrincipal | DocumentPrincipal | application/pdf |
© 2011 Universitat Rovira i Virgili