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Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations
In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level (or guaranteeing at least a certain level) of cooperative beh...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10603005/ https://www.ncbi.nlm.nih.gov/pubmed/37884760 http://dx.doi.org/10.1007/s00285-023-02011-6 |
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author | Duong, M. H. Durbac, C. M. Han, T. A. |
author_facet | Duong, M. H. Durbac, C. M. Han, T. A. |
author_sort | Duong, M. H. |
collection | PubMed |
description | In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level (or guaranteeing at least a certain level) of cooperative behaviour in a well-mixed, finite population of self-regarding individuals who interact via cooperation dilemmas (Donation Game or Public Goods Game). We show that a mixed incentive scheme can offer a more cost-efficient approach for providing incentives while ensuring the same level or standard of cooperation in the long-run. We establish the asymptotic behaviour (namely neutral drift, strong selection, and infinite-population limits). We prove the existence of a phase transition, obtaining the critical threshold of the strength of selection at which the monotonicity of the cost function changes and providing an algorithm for finding the optimal value of the individual incentive cost. Our analytical results are illustrated with numerical investigations. Overall, our analysis provides novel theoretical insights into the design of cost-efficient institutional incentive mechanisms for promoting the evolution of cooperation in stochastic systems. |
format | Online Article Text |
id | pubmed-10603005 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-106030052023-10-28 Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations Duong, M. H. Durbac, C. M. Han, T. A. J Math Biol Article In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level (or guaranteeing at least a certain level) of cooperative behaviour in a well-mixed, finite population of self-regarding individuals who interact via cooperation dilemmas (Donation Game or Public Goods Game). We show that a mixed incentive scheme can offer a more cost-efficient approach for providing incentives while ensuring the same level or standard of cooperation in the long-run. We establish the asymptotic behaviour (namely neutral drift, strong selection, and infinite-population limits). We prove the existence of a phase transition, obtaining the critical threshold of the strength of selection at which the monotonicity of the cost function changes and providing an algorithm for finding the optimal value of the individual incentive cost. Our analytical results are illustrated with numerical investigations. Overall, our analysis provides novel theoretical insights into the design of cost-efficient institutional incentive mechanisms for promoting the evolution of cooperation in stochastic systems. Springer Berlin Heidelberg 2023-10-26 2023 /pmc/articles/PMC10603005/ /pubmed/37884760 http://dx.doi.org/10.1007/s00285-023-02011-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This 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 Duong, M. H. Durbac, C. M. Han, T. A. Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title | Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title_full | Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title_fullStr | Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title_full_unstemmed | Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title_short | Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
title_sort | cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10603005/ https://www.ncbi.nlm.nih.gov/pubmed/37884760 http://dx.doi.org/10.1007/s00285-023-02011-6 |
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