Combined effect of incentives and coupling in multigames in two-layer networks

The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and incomes, wherein a portion of the income from defectors is all...

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Main Authors: Luo-Luo Jiang, Yi-Ming Li, Wen-Jing Li, Attila Szolnoki
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:Journal of Physics: Complexity
Subjects:
Online Access:https://doi.org/10.1088/2632-072X/ada844
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author Luo-Luo Jiang
Yi-Ming Li
Wen-Jing Li
Attila Szolnoki
author_facet Luo-Luo Jiang
Yi-Ming Li
Wen-Jing Li
Attila Szolnoki
author_sort Luo-Luo Jiang
collection DOAJ
description The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and incomes, wherein a portion of the income from defectors is allocated to reward low-income cooperators, aiming to enhance cooperation by improving the equitable distribution of wealth across the entire population. Moreover, previous research has typically employed network structures or game mechanisms characterized by homogeneity. In this study, we present a network framework that more accurately reflects real-world conditions, where agents are engaged in multiple games, including prisoner’s dilemma games in the top-layer and public good games in the down-layer networks. Within this framework, we introduce the concept of ‘external coupling’ which connects agents across different networks as acquaintances, thereby facilitating access to shared datasets. Our results indicate that the combined positive effects of external coupling and incentive mechanism lead to optimal cooperation rates and lower Gini coefficients, demonstrating a negative correlation between cooperation and inequality. From a micro-level perspective, this phenomenon primarily arises from the regular network, whereas suboptimal outcomes are observed within the scale-free network. These observations help to give a deeper insight into the interplay between cooperation and wealth disparity in evolutionary games in large populations.
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publishDate 2025-01-01
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spelling doaj-art-0c103e3fee0449af8d0d0a6f27701b632025-01-23T12:28:55ZengIOP PublishingJournal of Physics: Complexity2632-072X2025-01-016101500310.1088/2632-072X/ada844Combined effect of incentives and coupling in multigames in two-layer networksLuo-Luo Jiang0https://orcid.org/0009-0003-6794-8517Yi-Ming Li1https://orcid.org/0009-0008-8140-8935Wen-Jing Li2https://orcid.org/0000-0002-6036-4442Attila Szolnoki3https://orcid.org/0000-0002-0907-0406School of Information Technology and Artificial Intelligence, Zhejiang University of Finance and Economics , Hangzhou 310018, People’s Republic of ChinaSchool of Information Technology and Artificial Intelligence, Zhejiang University of Finance and Economics , Hangzhou 310018, People’s Republic of ChinaCollege of Information Engineering, Zhejiang University of Water Resources and Electric Power , Hangzhou, Zhejiang 310018, People’s Republic of ChinaInstitute of Technical Physics and Materials Science, Centre for Energy Research , PO Box 49, H-1525 Budapest, HungaryThe lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and incomes, wherein a portion of the income from defectors is allocated to reward low-income cooperators, aiming to enhance cooperation by improving the equitable distribution of wealth across the entire population. Moreover, previous research has typically employed network structures or game mechanisms characterized by homogeneity. In this study, we present a network framework that more accurately reflects real-world conditions, where agents are engaged in multiple games, including prisoner’s dilemma games in the top-layer and public good games in the down-layer networks. Within this framework, we introduce the concept of ‘external coupling’ which connects agents across different networks as acquaintances, thereby facilitating access to shared datasets. Our results indicate that the combined positive effects of external coupling and incentive mechanism lead to optimal cooperation rates and lower Gini coefficients, demonstrating a negative correlation between cooperation and inequality. From a micro-level perspective, this phenomenon primarily arises from the regular network, whereas suboptimal outcomes are observed within the scale-free network. These observations help to give a deeper insight into the interplay between cooperation and wealth disparity in evolutionary games in large populations.https://doi.org/10.1088/2632-072X/ada844social dilemmascooperationmultigamesmulti-layer networks
spellingShingle Luo-Luo Jiang
Yi-Ming Li
Wen-Jing Li
Attila Szolnoki
Combined effect of incentives and coupling in multigames in two-layer networks
Journal of Physics: Complexity
social dilemmas
cooperation
multigames
multi-layer networks
title Combined effect of incentives and coupling in multigames in two-layer networks
title_full Combined effect of incentives and coupling in multigames in two-layer networks
title_fullStr Combined effect of incentives and coupling in multigames in two-layer networks
title_full_unstemmed Combined effect of incentives and coupling in multigames in two-layer networks
title_short Combined effect of incentives and coupling in multigames in two-layer networks
title_sort combined effect of incentives and coupling in multigames in two layer networks
topic social dilemmas
cooperation
multigames
multi-layer networks
url https://doi.org/10.1088/2632-072X/ada844
work_keys_str_mv AT luoluojiang combinedeffectofincentivesandcouplinginmultigamesintwolayernetworks
AT yimingli combinedeffectofincentivesandcouplinginmultigamesintwolayernetworks
AT wenjingli combinedeffectofincentivesandcouplinginmultigamesintwolayernetworks
AT attilaszolnoki combinedeffectofincentivesandcouplinginmultigamesintwolayernetworks