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Core-stability over networks with widespread externalities
The Covid-19 epidemic highlighted the significance of externalities: contacts with other people affect the chances of getting infected for our entire network. We study endogenous network formation where not only players or pairs but larger coalitions can, cooperatively change the network. We introdu...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer US
2022
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8942166/ https://www.ncbi.nlm.nih.gov/pubmed/35345608 http://dx.doi.org/10.1007/s10479-022-04669-5 |
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author | Kóczy, László Á. |
author_facet | Kóczy, László Á. |
author_sort | Kóczy, László Á. |
collection | PubMed |
description | The Covid-19 epidemic highlighted the significance of externalities: contacts with other people affect the chances of getting infected for our entire network. We study endogenous network formation where not only players or pairs but larger coalitions can, cooperatively change the network. We introduce a model for coalitional network stability for networks with widespread externalities. The network function form generalises the partition function form of cooperative games in allowing the network to be taken into account. The recursive core for network function form games generalises the recursive core for such environments. We present two simple examples to illustrate positive and negative externalities. The first is of a favour network and show that the core is nonempty when players must pay transfers to intermediaries; this simple setting also models economic situations such as airline networks. The second models social contacts during an epidemic and finds social bubbles as the solution. |
format | Online Article Text |
id | pubmed-8942166 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-89421662022-03-24 Core-stability over networks with widespread externalities Kóczy, László Á. Ann Oper Res Original Research The Covid-19 epidemic highlighted the significance of externalities: contacts with other people affect the chances of getting infected for our entire network. We study endogenous network formation where not only players or pairs but larger coalitions can, cooperatively change the network. We introduce a model for coalitional network stability for networks with widespread externalities. The network function form generalises the partition function form of cooperative games in allowing the network to be taken into account. The recursive core for network function form games generalises the recursive core for such environments. We present two simple examples to illustrate positive and negative externalities. The first is of a favour network and show that the core is nonempty when players must pay transfers to intermediaries; this simple setting also models economic situations such as airline networks. The second models social contacts during an epidemic and finds social bubbles as the solution. Springer US 2022-03-23 2022 /pmc/articles/PMC8942166/ /pubmed/35345608 http://dx.doi.org/10.1007/s10479-022-04669-5 Text en © The Author(s) 2022 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 | Original Research Kóczy, László Á. Core-stability over networks with widespread externalities |
title | Core-stability over networks with widespread externalities |
title_full | Core-stability over networks with widespread externalities |
title_fullStr | Core-stability over networks with widespread externalities |
title_full_unstemmed | Core-stability over networks with widespread externalities |
title_short | Core-stability over networks with widespread externalities |
title_sort | core-stability over networks with widespread externalities |
topic | Original Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8942166/ https://www.ncbi.nlm.nih.gov/pubmed/35345608 http://dx.doi.org/10.1007/s10479-022-04669-5 |
work_keys_str_mv | AT koczylaszloa corestabilityovernetworkswithwidespreadexternalities |