Chimera and Anticoordination States in Learning Dynamics
In many real-life situations, individuals are dared to simultaneously achieve social objectives of acceptance or approval and strategic objectives of coordination. Since these two objectives may take place in different environments, a two-layer network is the simple and natural framework for the stu...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2019-04-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fams.2019.00016/full |
| _version_ | 1818842736239837184 |
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| author | Haydée Lugo Juan Carlos González-Avella Maxi San Miguel |
| author_facet | Haydée Lugo Juan Carlos González-Avella Maxi San Miguel |
| author_sort | Haydée Lugo |
| collection | DOAJ |
| description | In many real-life situations, individuals are dared to simultaneously achieve social objectives of acceptance or approval and strategic objectives of coordination. Since these two objectives may take place in different environments, a two-layer network is the simple and natural framework for the study of such kind of dynamical situations. In this paper we present a model in which the state of the agents corresponds to one of two possible strategies. They change their states by interaction with their neighbors in the network. Inside each layer the agents interact by a social pressure mechanism, while between the layers the agents interact via a coordination game. From an evolutionary approach, we focus on the asymptotic solutions for all-to-all interactions across and inside the layers and for any initial distribution of strategies. We find new asymptotic configurations which do not exist in a single isolated social network analysis. We report the emergence and existence of chimera states in which two different collective states coexist in the network. Namely, one layer reaches a state of full coordination while the other remains in a dynamical state of coexistence of strategies. In addition, the system may also reach a state of global anticoordination where a full coordination is reached inside each layer but with opposite strategies in each of the two network layers. We trace back the emergence of chimera states and global anticoordination states to the agents inertia against social pressure, referred here to as the level of skepticism, along with the degree of risk taken into account in a general coordination game. |
| first_indexed | 2024-12-19T04:46:43Z |
| format | Article |
| id | doaj.art-49a53a1cd87d4605a4f38e271f52e4ab |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-12-19T04:46:43Z |
| publishDate | 2019-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-49a53a1cd87d4605a4f38e271f52e4ab2022-12-21T20:35:27ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872019-04-01510.3389/fams.2019.00016442383Chimera and Anticoordination States in Learning DynamicsHaydée Lugo0Juan Carlos González-Avella1Maxi San Miguel2ICAE, Department of Economic Analysis, Complutense University of Madrid, Madrid, SpainAPSL S.L, Edifici Europa - Planta baja Galileo Galilei, Palma de Mallorca, SpainIFISC (CSIC-UIB), Campus Universitat Illes Balears, Palma de Mallorca, SpainIn many real-life situations, individuals are dared to simultaneously achieve social objectives of acceptance or approval and strategic objectives of coordination. Since these two objectives may take place in different environments, a two-layer network is the simple and natural framework for the study of such kind of dynamical situations. In this paper we present a model in which the state of the agents corresponds to one of two possible strategies. They change their states by interaction with their neighbors in the network. Inside each layer the agents interact by a social pressure mechanism, while between the layers the agents interact via a coordination game. From an evolutionary approach, we focus on the asymptotic solutions for all-to-all interactions across and inside the layers and for any initial distribution of strategies. We find new asymptotic configurations which do not exist in a single isolated social network analysis. We report the emergence and existence of chimera states in which two different collective states coexist in the network. Namely, one layer reaches a state of full coordination while the other remains in a dynamical state of coexistence of strategies. In addition, the system may also reach a state of global anticoordination where a full coordination is reached inside each layer but with opposite strategies in each of the two network layers. We trace back the emergence of chimera states and global anticoordination states to the agents inertia against social pressure, referred here to as the level of skepticism, along with the degree of risk taken into account in a general coordination game.https://www.frontiersin.org/article/10.3389/fams.2019.00016/fullmultilayer networkcoordination gameschimera statesanticoordination statesskepticism |
| spellingShingle | Haydée Lugo Juan Carlos González-Avella Maxi San Miguel Chimera and Anticoordination States in Learning Dynamics Frontiers in Applied Mathematics and Statistics multilayer network coordination games chimera states anticoordination states skepticism |
| title | Chimera and Anticoordination States in Learning Dynamics |
| title_full | Chimera and Anticoordination States in Learning Dynamics |
| title_fullStr | Chimera and Anticoordination States in Learning Dynamics |
| title_full_unstemmed | Chimera and Anticoordination States in Learning Dynamics |
| title_short | Chimera and Anticoordination States in Learning Dynamics |
| title_sort | chimera and anticoordination states in learning dynamics |
| topic | multilayer network coordination games chimera states anticoordination states skepticism |
| url | https://www.frontiersin.org/article/10.3389/fams.2019.00016/full |
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