Heterogeneously Networked Evolutionary Games With Intergroup Conflicts
Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), whe...
Saved in:
| Published in | IEEE transactions on cybernetics Vol. 54; no. 10; pp. 5684 - 5695 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
IEEE
01.10.2024
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2168-2267 2168-2275 2168-2275 |
| DOI | 10.1109/TCYB.2024.3352928 |
Cover
| Abstract | Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), where attacking players possess area-monitoring capabilities with limited attacking power. To begin with, a mathematical model is introduced to capture intragroup strategy dynamics and intergroup conflicts of HNEGs-IC via the algebraic state space representation (ASSR). A necessary and sufficient condition for achieving global cooperation of HNEGs-IC is established. Then, a criterion for verifying the <inline-formula> <tex-math notation="LaTeX">\kappa </tex-math></inline-formula>-cooperation below a certain mortality is presented. Considering the HNEGs-IC with strategy feedback control, it is proven that the feedback control, subject to global cooperation, is robust to conflicts when the intersection of the strategy threshold set and the reachable set of the preset initial strategy profiles is empty. Finally, for verification and demonstration, the obtained results are applied to a simplified virtual game model of the NATO and the Warsaw Pact. |
|---|---|
| AbstractList | Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), where attacking players possess area-monitoring capabilities with limited attacking power. To begin with, a mathematical model is introduced to capture intragroup strategy dynamics and intergroup conflicts of HNEGs-IC via the algebraic state space representation (ASSR). A necessary and sufficient condition for achieving global cooperation of HNEGs-IC is established. Then, a criterion for verifying the κ -cooperation below a certain mortality is presented. Considering the HNEGs-IC with strategy feedback control, it is proven that the feedback control, subject to global cooperation, is robust to conflicts when the intersection of the strategy threshold set and the reachable set of the preset initial strategy profiles is empty. Finally, for verification and demonstration, the obtained results are applied to a simplified virtual game model of the NATO and the Warsaw Pact.Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), where attacking players possess area-monitoring capabilities with limited attacking power. To begin with, a mathematical model is introduced to capture intragroup strategy dynamics and intergroup conflicts of HNEGs-IC via the algebraic state space representation (ASSR). A necessary and sufficient condition for achieving global cooperation of HNEGs-IC is established. Then, a criterion for verifying the κ -cooperation below a certain mortality is presented. Considering the HNEGs-IC with strategy feedback control, it is proven that the feedback control, subject to global cooperation, is robust to conflicts when the intersection of the strategy threshold set and the reachable set of the preset initial strategy profiles is empty. Finally, for verification and demonstration, the obtained results are applied to a simplified virtual game model of the NATO and the Warsaw Pact. Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflicts heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), where attacking players possess area-monitoring capabilities with limited attacking power. To begin with, a mathematical model is introduced to capture intragroup strategy dynamics and intergroup conflicts of HNEGs-IC via the algebraic state space representationalgebraic state space representation (ASSR). A necessary and sufficient condition for achieving global cooperation of HNEGs-IC is established. Then, a criterion for verifying the κ -cooperation below a certain mortality is presented. Considering the HNEGs-IC with strategy feedback control, it is proven that the feedback control, subject to global cooperation, is robust to conflicts when the intersection of the strategy threshold set and the reachable set of the preset initial strategy profiles is empty. Finally, for verification and demonstration, the obtained results are applied to a simplified virtual game model of the NATO and the Warsaw Pact. Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present study delves into the modeling, analysis, and control of heterogeneously networked evolutionary games with intergroup conflict (HNEG-IC), where attacking players possess area-monitoring capabilities with limited attacking power. To begin with, a mathematical model is introduced to capture intragroup strategy dynamics and intergroup conflicts of HNEGs-IC via the algebraic state space representation (ASSR). A necessary and sufficient condition for achieving global cooperation of HNEGs-IC is established. Then, a criterion for verifying the <inline-formula> <tex-math notation="LaTeX">\kappa </tex-math></inline-formula>-cooperation below a certain mortality is presented. Considering the HNEGs-IC with strategy feedback control, it is proven that the feedback control, subject to global cooperation, is robust to conflicts when the intersection of the strategy threshold set and the reachable set of the preset initial strategy profiles is empty. Finally, for verification and demonstration, the obtained results are applied to a simplified virtual game model of the NATO and the Warsaw Pact. |
| Author | Liu, Aixin Wang, Lin Guan, Xinping Chen, Guanrong |
| Author_xml | – sequence: 1 givenname: Aixin orcidid: 0000-0002-5451-3528 surname: Liu fullname: Liu, Aixin email: aixinliu2020@163.com organization: Department of Automation and the Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai Jiao Tong University, Shanghai, China – sequence: 2 givenname: Lin orcidid: 0000-0002-8374-8473 surname: Wang fullname: Wang, Lin email: wanglin@sjtu.edu.cn organization: Department of Automation and the Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai Jiao Tong University, Shanghai, China – sequence: 3 givenname: Guanrong orcidid: 0000-0003-1381-7418 surname: Chen fullname: Chen, Guanrong email: eegchen@cityu.edu.hk organization: Department of Electrical Engineering, City University of Hong Kong, Hong Kong, SAR, China – sequence: 4 givenname: Xinping orcidid: 0000-0003-1858-8538 surname: Guan fullname: Guan, Xinping email: xpguan@sjtu.edu.cn organization: Department of Automation and the Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai Jiao Tong University, Shanghai, China |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/38289844$$D View this record in MEDLINE/PubMed |
| BookMark | eNp9kEtLAzEUhYNUbK39AYLILN205jnJLLX0BUU3FXEVMmlaR6eTmmSU_nsztoq4MJvce_nO5Z5zClqVrQwA5wgOEILZ9WL4dDvAENMBIQxnWByBDkap6GPMWeunTnkb9Lx_gfGJOMrECWgTgWNBaQeMpyYYZ9emMrb25S65M-HDulezTEbvtqxDYSvldslEbYxPHovwnMyqqFg7W2-Toa1WZaGDPwPHK1V60zv8XfAwHi2G0_78fjIb3sz7mmAc-jpbYphDzLRWGlKqOU1ZRjQTGeU5VoIzxihKNc1IysSK5JQTTtIMEZaq2HfB1X7v1tm32vggN4XXpizV1_0y5gAZR1jQiF4e0DrfmKXcumITnchv7xHge0A7670zK6mLoBrDwamilAjKJmjZBC2boOUh6KhEf5Tfy__TXOw1hTHmFx_dCsTIJ_s6hzI |
| CODEN | ITCEB8 |
| CitedBy_id | crossref_primary_10_1063_5_0223029 |
| Cites_doi | 10.1002/9781118718124 10.1109/TAC.2021.3122372 10.1109/TCNS.2018.2873166 10.1109/TAC.2022.3169178 10.1016/0022-5193(69)90015-0 10.1109/TPWRD.2021.3061358 10.1016/j.automatica.2015.08.006 10.1109/TCYB.2021.3052902 10.1109/TCYB.2021.3092374 10.2307/2539002 10.1016/j.nahs.2023.101396 10.1126/science.1177418 10.1016/j.nahs.2016.03.009 10.1016/j.arcontrol.2018.04.010 10.1016/j.automatica.2022.110243 10.1016/j.automatica.2011.08.043 10.1016/j.amc.2017.08.023 10.1109/TAC.2022.3168527 10.1038/2281218a0 10.1109/TAC.2013.2238092 10.1038/s41467-022-28432-3 10.1109/TCYB.2020.3013251 10.1371/journal.pone.0129542 10.1016/j.amc.2018.05.027 10.1109/TCYB.2019.2944659 10.1109/TAC.2016.2545106 10.1038/s41567-021-01474-y 10.1109/TNNLS.2013.2293149 10.1109/tac.2023.3290771 10.1207/S15327957PSPR0702_129-145 10.1038/s41467-022-28379-5 10.1109/JAS.2016.7510259 10.1109/TCYB.2021.3050192 10.1109/tase.2023.3249769 10.1109/JIOT.2018.2869847 10.1109/TCYB.2018.2863689 10.1109/TSMC.2023.3274135 10.1016/j.amc.2021.126380 10.1109/TAC.2015.2404471 10.1126/science.1133755 10.1109/tcyb.2022.3219826 10.1142/8323 10.1016/j.automatica.2022.110367 10.1109/JPROC.2023.3234687 10.1109/TCNS.2021.3084548 10.1109/TCYB.2017.2754919 10.1016/j.automatica.2017.06.043 10.1016/j.automatica.2018.05.020 10.1016/j.automatica.2013.08.008 10.1109/TCYB.2019.2912622 10.1109/TAC.2022.3161609 |
| ContentType | Journal Article |
| DBID | 97E RIA RIE AAYXX CITATION NPM 7X8 |
| DOI | 10.1109/TCYB.2024.3352928 |
| DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005–Present IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef PubMed MEDLINE - Academic |
| DatabaseTitle | CrossRef PubMed MEDLINE - Academic |
| DatabaseTitleList | MEDLINE - Academic PubMed |
| Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: RIE name: IEEE Electronic Library (IEL) url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) |
| EISSN | 2168-2275 |
| EndPage | 5695 |
| ExternalDocumentID | 38289844 10_1109_TCYB_2024_3352928 10416815 |
| Genre | orig-research Journal Article |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 62373245 funderid: 10.13039/501100001809 – fundername: “Dawn” Program of Shanghai Education Commission, China – fundername: National Key Research and Development Program of China grantid: 2023YFB4706800 |
| GroupedDBID | 0R~ 4.4 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACIWK AENEX AGQYO AGSQL AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ EBS EJD HZ~ IFIPE IPLJI JAVBF M43 O9- OCL PQQKQ RIA RIE RNS AAYXX CITATION RIG NPM 7X8 |
| ID | FETCH-LOGICAL-c322t-c9d20b025ccac044c746593c58947b2a87555416c493658f3b47373691356a8f3 |
| IEDL.DBID | RIE |
| ISSN | 2168-2267 2168-2275 |
| IngestDate | Fri Jul 11 09:41:00 EDT 2025 Mon Jul 21 06:07:19 EDT 2025 Tue Jul 01 00:54:05 EDT 2025 Thu Apr 24 23:11:21 EDT 2025 Wed Aug 27 02:19:09 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c322t-c9d20b025ccac044c746593c58947b2a87555416c493658f3b47373691356a8f3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0000-0002-5451-3528 0000-0002-8374-8473 0000-0003-1381-7418 0000-0003-1858-8538 |
| PMID | 38289844 |
| PQID | 2920571284 |
| PQPubID | 23479 |
| PageCount | 12 |
| ParticipantIDs | pubmed_primary_38289844 crossref_citationtrail_10_1109_TCYB_2024_3352928 crossref_primary_10_1109_TCYB_2024_3352928 proquest_miscellaneous_2920571284 ieee_primary_10416815 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2024-10-01 |
| PublicationDateYYYYMMDD | 2024-10-01 |
| PublicationDate_xml | – month: 10 year: 2024 text: 2024-10-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | IEEE transactions on cybernetics |
| PublicationTitleAbbrev | TCYB |
| PublicationTitleAlternate | IEEE Trans Cybern |
| PublicationYear | 2024 |
| Publisher | IEEE |
| Publisher_xml | – name: IEEE |
| References | ref13 ref12 ref15 ref14 ref52 ref11 ref10 ref17 ref16 ref19 ref18 ref51 ref50 ref46 ref45 ref48 ref42 ref41 ref44 ref43 ref49 ref8 ref7 ref9 ref4 ref3 ref6 ref5 ref40 ref35 ref34 ref37 ref36 ref31 ref30 ref33 ref32 ref2 ref1 ref39 ref38 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 Khatri (ref47) 1968; 30 ref29 |
| References_xml | – ident: ref1 doi: 10.1002/9781118718124 – ident: ref43 doi: 10.1109/TAC.2021.3122372 – ident: ref40 doi: 10.1109/TCNS.2018.2873166 – ident: ref49 doi: 10.1109/TAC.2022.3169178 – ident: ref41 doi: 10.1016/0022-5193(69)90015-0 – ident: ref21 doi: 10.1109/TPWRD.2021.3061358 – ident: ref48 doi: 10.1016/j.automatica.2015.08.006 – ident: ref50 doi: 10.1109/TCYB.2021.3052902 – ident: ref44 doi: 10.1109/TCYB.2021.3092374 – ident: ref52 doi: 10.2307/2539002 – ident: ref35 doi: 10.1016/j.nahs.2023.101396 – ident: ref6 doi: 10.1126/science.1177418 – ident: ref36 doi: 10.1016/j.nahs.2016.03.009 – ident: ref19 doi: 10.1016/j.arcontrol.2018.04.010 – ident: ref13 doi: 10.1016/j.automatica.2022.110243 – ident: ref27 doi: 10.1016/j.automatica.2011.08.043 – ident: ref42 doi: 10.1016/j.amc.2017.08.023 – ident: ref29 doi: 10.1109/TAC.2022.3168527 – ident: ref39 doi: 10.1038/2281218a0 – ident: ref51 doi: 10.1109/TAC.2013.2238092 – ident: ref20 doi: 10.1038/s41467-022-28432-3 – ident: ref14 doi: 10.1109/TCYB.2020.3013251 – ident: ref9 doi: 10.1371/journal.pone.0129542 – ident: ref31 doi: 10.1016/j.amc.2018.05.027 – ident: ref38 doi: 10.1109/TCYB.2019.2944659 – ident: ref4 doi: 10.1109/TAC.2016.2545106 – ident: ref15 doi: 10.1038/s41567-021-01474-y – ident: ref22 doi: 10.1109/TNNLS.2013.2293149 – ident: ref23 doi: 10.1109/tac.2023.3290771 – ident: ref12 doi: 10.1207/S15327957PSPR0702_129-145 – ident: ref7 doi: 10.1038/s41467-022-28379-5 – ident: ref33 doi: 10.1109/JAS.2016.7510259 – ident: ref25 doi: 10.1109/TCYB.2021.3050192 – ident: ref34 doi: 10.1109/tase.2023.3249769 – ident: ref16 doi: 10.1109/JIOT.2018.2869847 – ident: ref18 doi: 10.1109/TCYB.2018.2863689 – ident: ref24 doi: 10.1109/TSMC.2023.3274135 – volume: 30 start-page: 167 issue: 2 year: 1968 ident: ref47 article-title: Solutions to some functional equations and their applications to characterization of probability distributions publication-title: Sankhy¯a Indian J. Stat., Ser. A – ident: ref8 doi: 10.1016/j.amc.2021.126380 – ident: ref26 doi: 10.1109/TAC.2015.2404471 – ident: ref5 doi: 10.1126/science.1133755 – ident: ref28 doi: 10.1109/tcyb.2022.3219826 – ident: ref45 doi: 10.1142/8323 – ident: ref2 doi: 10.1016/j.automatica.2022.110367 – ident: ref11 doi: 10.1109/JPROC.2023.3234687 – ident: ref32 doi: 10.1109/TCNS.2021.3084548 – ident: ref3 doi: 10.1109/TCYB.2017.2754919 – ident: ref37 doi: 10.1016/j.automatica.2017.06.043 – ident: ref10 doi: 10.1016/j.automatica.2018.05.020 – ident: ref30 doi: 10.1016/j.automatica.2013.08.008 – ident: ref17 doi: 10.1109/TCYB.2019.2912622 – ident: ref46 doi: 10.1109/TAC.2022.3161609 |
| SSID | ssj0000816898 |
| Score | 2.4032452 |
| Snippet | Network games primarily explore the intricacies of individual interactions and adaptive strategies within a network. Building upon this framework, the present... |
| SourceID | proquest pubmed crossref ieee |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 5684 |
| SubjectTerms | Algebraic state space representation (ASSR) Analytical models cooperation Feedback control Games Heterogeneous networks heterogeneously networked evolutionary game Integrated circuit modeling intergroup conflict Mathematical models Monitoring |
| Title | Heterogeneously Networked Evolutionary Games With Intergroup Conflicts |
| URI | https://ieeexplore.ieee.org/document/10416815 https://www.ncbi.nlm.nih.gov/pubmed/38289844 https://www.proquest.com/docview/2920571284 |
| Volume | 54 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LSwMxEA7akxe1PuuLCB5U2LpNstnNUYu1CPZUsZ6WTTaLorRit0L99c5k06JCxVsWNvuYB_kmmW-GkJMoMmGocxZklscBRgyBYloG3CQyyYRgRYFs5Lue7N6L20E08GR1x4Wx1rrkM9vEoTvLz0dmgltl4OEAHxKklC-DnVVkrfmGiusg4XrfMhgEACtif4rZCtVFv_14BdEgE00kGSmGffo4RhuJED-WJNdjZTHcdMtOZ430Zh9cZZu8NCelbprPX7Uc__1H62TVA1B6WVlMnSzZ4Qapexcf01Nfh_psk3S6mCozAguzo8n4dUp7Vcq4zen1h7fY7H1KbzDRlj48l0_U7S86oghte77JeIvcd6777W7g2y4EBry7DIzKWagBC4FyTSiEiYWMFDdRokSsWQYRDmCQljRCccAvBdci5jGXqsUjmcH1NqkNR0O7S6iQIuO5CPNCF8JyqbHeXpIbpnlhASo2SDiTfGp8TXJsjfGautgkVCnqLUW9pV5vDXI-n_JWFeT46-YtlPm3GytxN8jxTL8puBOekWROlik274piXLQbZKdS_Hz2zF72Fjx1n6zgy6tUvwNSK98n9hAgS6mPnKl-Afar4jo |
| linkProvider | IEEE |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3db9MwED9N42G8AGMDyqeReACklNS-OPEjVOs6tvWpE-Mpih1Hm5hatKZI21-_O8etYNLQ3hLJjpz7kH9n3-8O4EOWuTS1tUwqr_KEI4bESKsT5QpdVIiyaZiNfDzR4xP8fpqdRrJ64MJ470Pyme_zY7jLr-duyUdl5OEEHwqmlD-gjR-zjq61PlIJPSRC91tJDwkBizzeYw5S82U6_PmN4kGJfaYZGcmd-hTHGwXiP5tS6LJyN-AMG8_oMUxWS-7yTX71l63tu-tb1Rzv_U9P4FGEoOJrZzPbsOFnT2E7OvlCfIyVqD_twGjMyTJzsjE_Xy4ursSkSxr3tdj7E222urwS-5xqK36ct2cinDAGqogYRsbJYhdORnvT4TiJjRcSR_7dJs7UMrWEhki9LkV0OerMKJcVBnMrK4pxCIUMtEOjCME0ymKucqXNQGW6ovdnsDmbz_wLEKixUjWmdWMb9EpbrrhX1E5a1XgCiz1IV5IvXaxKzs0xLsoQnaSmZL2VrLcy6q0Hn9dTfnclOf43eJdl_tfATtw9eL_Sb0kOxbckVZBlye27spy37R487xS_nr2yl5d3fPUdbI2nx0fl0cHk8BU85IV0iX-vYbO9XPo3BGBa-zaY7Q378-WH |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Heterogeneously+Networked+Evolutionary+Games+With+Intergroup+Conflicts&rft.jtitle=IEEE+transactions+on+cybernetics&rft.au=Liu%2C+Aixin&rft.au=Wang%2C+Lin&rft.au=Chen%2C+Guanrong&rft.au=Guan%2C+Xinping&rft.date=2024-10-01&rft.issn=2168-2275&rft.eissn=2168-2275&rft.volume=54&rft.issue=10&rft.spage=5684&rft_id=info:doi/10.1109%2FTCYB.2024.3352928&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2168-2267&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2168-2267&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2168-2267&client=summon |