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Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games

In this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a coevolution model that couples the changes in agents’ actions with the...

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Autores principales: González Casado, Miguel A., Sánchez, Angel, San Miguel, Maxi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9938167/
https://www.ncbi.nlm.nih.gov/pubmed/36806791
http://dx.doi.org/10.1038/s41598-023-30011-5
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author González Casado, Miguel A.
Sánchez, Angel
San Miguel, Maxi
author_facet González Casado, Miguel A.
Sánchez, Angel
San Miguel, Maxi
author_sort González Casado, Miguel A.
collection PubMed
description In this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a coevolution model that couples the changes in agents’ actions with the network dynamics, so that while agents play the game, they are able to sever some of their current connections and connect with others. We focus on two action update rules: Replicator Dynamics (RD) and Unconditional Imitation (UI), and we define a coevolution rule in which, apart from action updates, with a certain rewiring probability p, agents unsatisfied with their current connections are able to eliminate a link and connect with a randomly chosen neighbor. We call this probability to rewire links the ‘network plasticity’. We investigate a Pure Coordination Game (PCG), in which choices are equivalent, and on a General Coordination Game (GCG), for which there is a risk-dominant action and a payoff-dominant one. Changing the plasticity parameter, there is a transition from a regime in which the system fully coordinates on a single connected component to a regime in which the system fragments in two connected components, each one coordinated on a different action (either if both actions are equivalent or not). The nature of this fragmentation transition is different for different update rules. Second, we find that both for RD and UI in a GCG, there is a regime of intermediate values of plasticity, before the fragmentation transition, for which the system is able to fully coordinate on a single component network on the payoff-dominant action, i.e., coevolution enhances payoff-dominant equilibrium selection for both update rules.
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spelling pubmed-99381672023-02-19 Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games González Casado, Miguel A. Sánchez, Angel San Miguel, Maxi Sci Rep Article In this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a coevolution model that couples the changes in agents’ actions with the network dynamics, so that while agents play the game, they are able to sever some of their current connections and connect with others. We focus on two action update rules: Replicator Dynamics (RD) and Unconditional Imitation (UI), and we define a coevolution rule in which, apart from action updates, with a certain rewiring probability p, agents unsatisfied with their current connections are able to eliminate a link and connect with a randomly chosen neighbor. We call this probability to rewire links the ‘network plasticity’. We investigate a Pure Coordination Game (PCG), in which choices are equivalent, and on a General Coordination Game (GCG), for which there is a risk-dominant action and a payoff-dominant one. Changing the plasticity parameter, there is a transition from a regime in which the system fully coordinates on a single connected component to a regime in which the system fragments in two connected components, each one coordinated on a different action (either if both actions are equivalent or not). The nature of this fragmentation transition is different for different update rules. Second, we find that both for RD and UI in a GCG, there is a regime of intermediate values of plasticity, before the fragmentation transition, for which the system is able to fully coordinate on a single component network on the payoff-dominant action, i.e., coevolution enhances payoff-dominant equilibrium selection for both update rules. Nature Publishing Group UK 2023-02-17 /pmc/articles/PMC9938167/ /pubmed/36806791 http://dx.doi.org/10.1038/s41598-023-30011-5 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
González Casado, Miguel A.
Sánchez, Angel
San Miguel, Maxi
Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title_full Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title_fullStr Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title_full_unstemmed Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title_short Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
title_sort network coevolution drives segregation and enhances pareto optimal equilibrium selection in coordination games
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9938167/
https://www.ncbi.nlm.nih.gov/pubmed/36806791
http://dx.doi.org/10.1038/s41598-023-30011-5
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