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Pairwise interact-and-imitate dynamics
This paper introduces and studies a class of evolutionary dynamics—pairwise interact-and-imitate dynamics (PIID)—in which agents are matched in pairs, engage in a symmetric game, and imitate the opponent with a probability that depends on the difference in their payoffs. We provide a condition on th...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8225851/ https://www.ncbi.nlm.nih.gov/pubmed/34168182 http://dx.doi.org/10.1038/s41598-021-92512-5 |
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author | Bilancini, Ennio Boncinelli, Leonardo Campigotto, Nicola |
author_facet | Bilancini, Ennio Boncinelli, Leonardo Campigotto, Nicola |
author_sort | Bilancini, Ennio |
collection | PubMed |
description | This paper introduces and studies a class of evolutionary dynamics—pairwise interact-and-imitate dynamics (PIID)—in which agents are matched in pairs, engage in a symmetric game, and imitate the opponent with a probability that depends on the difference in their payoffs. We provide a condition on the underlying game, named supremacy, and show that the population state in which all agents play the supreme strategy is globally asymptotically stable. We extend the framework to allow for payoff uncertainty, and check the robustness of our results to the introduction of some heterogeneity in the revision protocol followed by agents. Finally, we show that PIID can allow the survival of strictly dominated strategies, leads to the emergence of inefficient conventions in social dilemmas, and makes assortment ineffective in promoting cooperation. |
format | Online Article Text |
id | pubmed-8225851 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-82258512021-07-02 Pairwise interact-and-imitate dynamics Bilancini, Ennio Boncinelli, Leonardo Campigotto, Nicola Sci Rep Article This paper introduces and studies a class of evolutionary dynamics—pairwise interact-and-imitate dynamics (PIID)—in which agents are matched in pairs, engage in a symmetric game, and imitate the opponent with a probability that depends on the difference in their payoffs. We provide a condition on the underlying game, named supremacy, and show that the population state in which all agents play the supreme strategy is globally asymptotically stable. We extend the framework to allow for payoff uncertainty, and check the robustness of our results to the introduction of some heterogeneity in the revision protocol followed by agents. Finally, we show that PIID can allow the survival of strictly dominated strategies, leads to the emergence of inefficient conventions in social dilemmas, and makes assortment ineffective in promoting cooperation. Nature Publishing Group UK 2021-06-24 /pmc/articles/PMC8225851/ /pubmed/34168182 http://dx.doi.org/10.1038/s41598-021-92512-5 Text en © The Author(s) 2021 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 Bilancini, Ennio Boncinelli, Leonardo Campigotto, Nicola Pairwise interact-and-imitate dynamics |
title | Pairwise interact-and-imitate dynamics |
title_full | Pairwise interact-and-imitate dynamics |
title_fullStr | Pairwise interact-and-imitate dynamics |
title_full_unstemmed | Pairwise interact-and-imitate dynamics |
title_short | Pairwise interact-and-imitate dynamics |
title_sort | pairwise interact-and-imitate dynamics |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8225851/ https://www.ncbi.nlm.nih.gov/pubmed/34168182 http://dx.doi.org/10.1038/s41598-021-92512-5 |
work_keys_str_mv | AT bilanciniennio pairwiseinteractandimitatedynamics AT boncinellileonardo pairwiseinteractandimitatedynamics AT campigottonicola pairwiseinteractandimitatedynamics |