Optimal control of fractional punishment in optional public goods game
Punishment is probably the most frequently used mechanism to increase cooperation in Public Goods Games (PGG); however, it is expensive. To address this problem, this paper introduces an optimal control problem that uses fractional punishment to promote cooperation. We present a series of computatio...
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| Materyal Türü: | article |
| Dil: | İngilizce |
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2024
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| Online Erişim: | https://doi.org/10.5540/tcam.2024.025.e01737 http://hdl.handle.net/20.500.14066/4611 |
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| _version_ | 1870612071417118720 |
|---|---|
| author | Grau Figueredo, Josias |
| author2 | Botta Solano López, Magdalena del Rocío Schaerer Serra, Christian Emilio |
| author2_role | author author |
| author_browse | Botta Solano López, Magdalena del Rocío Grau Figueredo, Josias Schaerer Serra, Christian Emilio |
| author_facet | Grau Figueredo, Josias Botta Solano López, Magdalena del Rocío Schaerer Serra, Christian Emilio |
| author_role | author |
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| bitstream.url.fl_str_mv | http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/2/license_rdf http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/4/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.jpg http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/1/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.pdf http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/3/license.txt http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/5/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.pdf.txt |
| dc.contributor.other.es.fl_str_mv | Universidad Nacional de Asunción. Facultad Politécnica |
| dc.creator.none.fl_str_mv | Grau Figueredo, Josias Botta Solano López, Magdalena del Rocío Schaerer Serra, Christian Emilio |
| dc.date.accessioned.none.fl_str_mv | 2025-07-17T13:04:03Z |
| dc.date.available.none.fl_str_mv | 2025-07-17T13:04:03Z |
| dc.date.issued.none.fl_str_mv | 2024-11-28 |
| dc.format.extent.es.fl_str_mv | 19 páginas |
| dc.identifier.citation.en.fl_str_mv | Grau, J., Botta, R., & Schaerer, C. E. (2024). Optimal control of fractional punishment in optional public goods game. Trends in Computational and Applied Mathematics, 25(1), Article e01737. https://doi.org/10.5540/tcam.2024.025.e01737 |
| dc.identifier.doi.es.fl_str_mv | 10.5540/tcam.2024.025.e01737 |
| dc.identifier.essn.es.fl_str_mv | 2676-0029 |
| dc.identifier.other.es.fl_str_mv | https://doi.org/10.5540/tcam.2024.025.e01737 |
| dc.identifier.uri.none.fl_str_mv | http://hdl.handle.net/20.500.14066/4611 |
| dc.language.iso.es.fl_str_mv | eng |
| dc.publisher.es.fl_str_mv | Sociedade Brasileira de Matemática Aplicada e Computacional |
| dc.relation.projectCONACYT.es.fl_str_mv | PINV01-694 |
| dc.rights.*.fl_str_mv | Atribución 4.0 Internacional |
| dc.rights.accessRights.es.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.rights.copyright.es.fl_str_mv | © 2024 Trends in Computational and Applied Mathematics |
| dc.rights.uri.*.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.subject.classification.es.fl_str_mv | 11. Sistemas políticos y sociales, estructuras y procesos 11.4. Cambios, procesos y conflictos sociales |
| dc.subject.ocde.es.fl_str_mv | 1. Ciencias Naturales 1.7. Otras ciencias naturales |
| dc.subject.other.es.fl_str_mv | Fractional punishment Free-riders OPGG Optimal control |
| dc.title.es.fl_str_mv | Optimal control of fractional punishment in optional public goods game |
| dc.type.es.fl_str_mv | info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| description | Punishment is probably the most frequently used mechanism to increase cooperation in Public Goods Games (PGG); however, it is expensive. To address this problem, this paper introduces an optimal control problem that uses fractional punishment to promote cooperation. We present a series of computational experiments illustrating the effects of single and combined terms of the optimization cost function. In the findings, the optimal controller outperforms the use of constant fractional punishment and gives an insight into the period and size of the penalization to be implemented with respect to the defection in the game. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | CONACYT_bc60fc4d0fbf8cfd83656cd3e284c3ec |
| identifier_str_mv | Grau, J., Botta, R., & Schaerer, C. E. (2024). Optimal control of fractional punishment in optional public goods game. Trends in Computational and Applied Mathematics, 25(1), Article e01737. https://doi.org/10.5540/tcam.2024.025.e01737 10.5540/tcam.2024.025.e01737 2676-0029 |
| language | eng |
| network_acronym_str | CONACYT |
| network_name_str | Repositorio Institucional CONACYT |
| oai_identifier_str | oai:repositorio.conacyt.gov.py:20.500.14066/4611 |
| publishDate | 2024 |
| publishDateSort | 2024 |
| repository.mail.fl_str_mv | repositorio.institucional@conacyt.gov.py |
| repository.name.fl_str_mv | Repositorio Institucional CONACYT |
| repository_id_str | |
| rights_invalid_str_mv | Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ © 2024 Trends in Computational and Applied Mathematics |
| spelling | 0017b0aa-cd65-4401-9aa6-e79ab73e77c96001736001062600Universidad Nacional de Asunción. Facultad Politécnica2025-07-17T13:04:03Z2025-07-17T13:04:03Z2024-11-28Grau, J., Botta, R., & Schaerer, C. E. (2024). Optimal control of fractional punishment in optional public goods game. Trends in Computational and Applied Mathematics, 25(1), Article e01737. https://doi.org/10.5540/tcam.2024.025.e01737https://doi.org/10.5540/tcam.2024.025.e01737http://hdl.handle.net/20.500.14066/461110.5540/tcam.2024.025.e017372676-0029Punishment is probably the most frequently used mechanism to increase cooperation in Public Goods Games (PGG); however, it is expensive. To address this problem, this paper introduces an optimal control problem that uses fractional punishment to promote cooperation. We present a series of computational experiments illustrating the effects of single and combined terms of the optimization cost function. In the findings, the optimal controller outperforms the use of constant fractional punishment and gives an insight into the period and size of the penalization to be implemented with respect to the defection in the game.Consejo Nacional de Ciencia y TecnologíaPrograma Paraguayo para el Desarrollo de la Ciencia y Tecnología. Proyectos de investigación y desarrollo19 páginasengSociedade Brasileira de Matemática Aplicada e ComputacionalAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccess© 2024 Trends in Computational and Applied Mathematics11. Sistemas políticos y sociales, estructuras y procesos11.4. Cambios, procesos y conflictos socialesFractional punishmentFree-ridersOPGGOptimal control1. Ciencias Naturales1.7. Otras ciencias naturalesOptimal control of fractional punishment in optional public goods gameinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion1Trends in Computational and Applied MathematicsPINV01-69425Grau Figueredo, JosiasBotta Solano López, Magdalena del RocíoSchaerer Serra, Christian EmilioCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8908http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/2/license_rdf0175ea4a2d4caec4bbcc37e300941108MD52THUMBNAILOptimal control of fractional punishment in optional public goods game.jpgOptimal control of fractional punishment in optional public goods game.jpgVista de primera página de artículo científicoimage/jpeg284420http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/4/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.jpgb8a1278073699d7efd40f25e270046ddMD54ORIGINALOptimal control of fractional punishment in optional public goods game.pdfOptimal control of fractional punishment in optional public goods game.pdfArtículo científicoapplication/pdf705609http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/1/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.pdf6c97cbf1689f1d8035f5d1e4e732400dMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81698http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/3/license.txt858b22fda432bd774e469302988c1974MD53TEXTOptimal control of fractional punishment in optional public goods game.pdf.txtOptimal control of fractional punishment in optional public goods game.pdf.txtExtracted texttext/plain45512http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4611/5/Optimal%20control%20of%20fractional%20punishment%20in%20optional%20public%20goods%20game.pdf.txt833f1e739522bf8335f208edc5837065MD5520.500.14066/4611oai:repositorio.conacyt.gov.py:20.500.14066/46112026-02-12 19:30:43.52Repositorio Institucional CONACYTrepositorio.institucional@conacyt.gov.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 |
| spellingShingle | Optimal control of fractional punishment in optional public goods game Grau Figueredo, Josias 11. Sistemas políticos y sociales, estructuras y procesos 11.4. Cambios, procesos y conflictos sociales Fractional punishment Free-riders OPGG Optimal control 1. Ciencias Naturales 1.7. Otras ciencias naturales |
| status_str | publishedVersion |
| title | Optimal control of fractional punishment in optional public goods game |
| title_full | Optimal control of fractional punishment in optional public goods game |
| title_fullStr | Optimal control of fractional punishment in optional public goods game |
| title_full_unstemmed | Optimal control of fractional punishment in optional public goods game |
| title_short | Optimal control of fractional punishment in optional public goods game |
| title_sort | Optimal control of fractional punishment in optional public goods game |
| topic | 11. Sistemas políticos y sociales, estructuras y procesos 11.4. Cambios, procesos y conflictos sociales Fractional punishment Free-riders OPGG Optimal control 1. Ciencias Naturales 1.7. Otras ciencias naturales |
| url | https://doi.org/10.5540/tcam.2024.025.e01737 http://hdl.handle.net/20.500.14066/4611 |