A network formation game for the emergence of hierarchies.
We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or collaboration among themselves. We consider two settings: we first co...
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Public Library of Science (PLoS)
2021
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oai:doaj.org-article:7af7b533ca8f4cb3887d8832b29dc4702021-12-02T20:18:15ZA network formation game for the emergence of hierarchies.1932-620310.1371/journal.pone.0255990https://doaj.org/article/7af7b533ca8f4cb3887d8832b29dc4702021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0255990https://doaj.org/toc/1932-6203We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or collaboration among themselves. We consider two settings: we first consider individuals who do not seek the other party's consent when establishing a relationship and then individuals who do. For both settings, we formally relate the emerged hierarchical structures with the novel inclusion of well-motivated hierarchy promoting terms in the individuals' utility functions. We first analyze the game via a static analysis and characterize all the hierarchical structures that can be formed as its solutions. We then consider the game played dynamically under stochastic interactions among individuals implementing better-response dynamics and analyze the nature of the converged networks.Pedro Cisneros-VelardeFrancesco BulloPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 8, p e0255990 (2021) |
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Medicine R Science Q Pedro Cisneros-Velarde Francesco Bullo A network formation game for the emergence of hierarchies. |
description |
We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or collaboration among themselves. We consider two settings: we first consider individuals who do not seek the other party's consent when establishing a relationship and then individuals who do. For both settings, we formally relate the emerged hierarchical structures with the novel inclusion of well-motivated hierarchy promoting terms in the individuals' utility functions. We first analyze the game via a static analysis and characterize all the hierarchical structures that can be formed as its solutions. We then consider the game played dynamically under stochastic interactions among individuals implementing better-response dynamics and analyze the nature of the converged networks. |
format |
article |
author |
Pedro Cisneros-Velarde Francesco Bullo |
author_facet |
Pedro Cisneros-Velarde Francesco Bullo |
author_sort |
Pedro Cisneros-Velarde |
title |
A network formation game for the emergence of hierarchies. |
title_short |
A network formation game for the emergence of hierarchies. |
title_full |
A network formation game for the emergence of hierarchies. |
title_fullStr |
A network formation game for the emergence of hierarchies. |
title_full_unstemmed |
A network formation game for the emergence of hierarchies. |
title_sort |
network formation game for the emergence of hierarchies. |
publisher |
Public Library of Science (PLoS) |
publishDate |
2021 |
url |
https://doaj.org/article/7af7b533ca8f4cb3887d8832b29dc470 |
work_keys_str_mv |
AT pedrocisnerosvelarde anetworkformationgamefortheemergenceofhierarchies AT francescobullo anetworkformationgamefortheemergenceofhierarchies AT pedrocisnerosvelarde networkformationgamefortheemergenceofhierarchies AT francescobullo networkformationgamefortheemergenceofhierarchies |
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