Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
Abstract 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...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-30011-5 |
| _version_ | 1797864895007424512 |
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| author | Miguel A. González Casado Angel Sánchez Maxi San Miguel |
| author_facet | Miguel A. González Casado Angel Sánchez Maxi San Miguel |
| author_sort | Miguel A. González Casado |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-09T23:00:31Z |
| format | Article |
| id | doaj.art-423ca2b8b0f6410d96ae7e844486fdd3 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T23:00:31Z |
| publishDate | 2023-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-423ca2b8b0f6410d96ae7e844486fdd32023-03-22T11:01:16ZengNature PortfolioScientific Reports2045-23222023-02-0113111310.1038/s41598-023-30011-5Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination gamesMiguel A. González Casado0Angel Sánchez1Maxi San Miguel2Grupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Carlos III de MadridGrupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Carlos III de MadridInstitute for Cross-Disciplinary Physics and Complex Systems IFISC (CSIC-UIB), Campus Universitat Illes BalearsAbstract 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.https://doi.org/10.1038/s41598-023-30011-5 |
| spellingShingle | Miguel A. González Casado Angel Sánchez Maxi San Miguel Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games Scientific Reports |
| 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 |
| url | https://doi.org/10.1038/s41598-023-30011-5 |
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