Algebraic formulation and strategy optimization for a class of evolutionary networked games via semi-tensor product method
Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy optimization for a class of evolutionary networked games with “myopic best response adjustment” rule, and presents a number of new results. First, the dynamics of the evolutionary networked game is c...
Gespeichert in:
| Veröffentlicht in: | Automatica (Oxford) Jg. 49; H. 11; S. 3384 - 3389 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Kidlington
Elsevier Ltd
01.11.2013
Elsevier |
| Schlagworte: | |
| ISSN: | 0005-1098, 1873-2836 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy optimization for a class of evolutionary networked games with “myopic best response adjustment” rule, and presents a number of new results. First, the dynamics of the evolutionary networked game is converted to an algebraic form via the semi-tensor product, and an algorithm is established to construct the algebraic formulation for the game. Second, based on the algebraic form, the dynamical behavior of evolutionary networked games is discussed, and some interesting results are presented. Finally, the strategy optimization problem is considered by adding a pseudo-player to the game, and a free-type control sequence is designed to maximize the average payoff of the pseudo-player. The study of an illustrative example shows that the new results obtained in this paper work very well. |
|---|---|
| AbstractList | Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy optimization for a class of evolutionary networked games with “myopic best response adjustment” rule, and presents a number of new results. First, the dynamics of the evolutionary networked game is converted to an algebraic form via the semi-tensor product, and an algorithm is established to construct the algebraic formulation for the game. Second, based on the algebraic form, the dynamical behavior of evolutionary networked games is discussed, and some interesting results are presented. Finally, the strategy optimization problem is considered by adding a pseudo-player to the game, and a free-type control sequence is designed to maximize the average payoff of the pseudo-player. The study of an illustrative example shows that the new results obtained in this paper work very well. |
| Author | Guo, Peilian Wang, Yuzhen Li, Haitao |
| Author_xml | – sequence: 1 givenname: Peilian surname: Guo fullname: Guo, Peilian email: guopeilian0127@163.com – sequence: 2 givenname: Yuzhen surname: Wang fullname: Wang, Yuzhen email: yzwang@sdu.edu.cn – sequence: 3 givenname: Haitao surname: Li fullname: Li, Haitao email: haitaoli09@gmail.com |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27843836$$DView record in Pascal Francis |
| BookMark | eNqNkc2KFDEUhYOMYM_oO2QjuKkyqfxUaiOMg6PCgJvZh3Ry06atStok1TLz9KbtQcGNri7hfudccs4luogpAkKYkp4SKt_ue7PWtJgarOkHQllPVE-IeoY2VI2sGxSTF2hDCBEdJZN6gS5L2bcnp2rYoMfreQfbbILFPuVlnZtRithEh0vNpsLuAadDDUt4PG8ahQ22sykFJ4_hmOb1tDD5AUeoP1L-Bg7vzAIFH4PBBZbQVYil6Q45udVWvED9mtxL9NybucCrp3mF7m8_3N986u6-fPx8c33XWc7H2lk5ymkr3DRwRr1yW2mkF0qw0Y9EeeGc5HySTtCtBy6odZMTnBAw4-ClZ1fozdm2Xf--Qql6CcXCPJsIaS2aCkbJwKZJNvT1E2qKNbPPJtpQ9CGHpX1PD6PirMXZOHXmbE6lZPC_EUr0qRW9139a0adWNFG6tdKk7_6S2lB_JdvSDvP_GLw_G0CL7Bgg62IDRAsuZLBVuxT-bfITsTK1Pg |
| CODEN | ATCAA9 |
| CitedBy_id | crossref_primary_10_1049_iet_cta_2017_0047 crossref_primary_10_1080_00207179_2019_1708973 crossref_primary_10_1109_TCNS_2023_3343148 crossref_primary_10_1016_j_jfranklin_2017_02_009 crossref_primary_10_1016_j_knosys_2021_107644 crossref_primary_10_1049_iet_cta_2019_0337 crossref_primary_10_1002_asjc_1837 crossref_primary_10_1016_j_ins_2021_02_033 crossref_primary_10_1002_asjc_2126 crossref_primary_10_1016_j_jfranklin_2016_12_007 crossref_primary_10_1049_iet_cta_2018_5612 crossref_primary_10_1109_TCNS_2021_3084548 crossref_primary_10_1109_TNSE_2025_3530508 crossref_primary_10_1007_s11424_021_1232_8 crossref_primary_10_1155_2018_5124343 crossref_primary_10_1007_s12190_024_02158_5 crossref_primary_10_1049_iet_cta_2016_1659 crossref_primary_10_1049_iet_cta_2016_1658 crossref_primary_10_1016_j_jfranklin_2018_09_004 crossref_primary_10_17221_311_2023_AGRICECON crossref_primary_10_1155_2023_1700651 crossref_primary_10_1016_j_ifacol_2015_12_114 crossref_primary_10_1109_TCYB_2024_3352928 crossref_primary_10_1109_ACCESS_2024_3419231 crossref_primary_10_1109_TCSII_2022_3162879 crossref_primary_10_1007_s11424_024_2376_0 crossref_primary_10_1016_S1005_8885_17_60190_0 crossref_primary_10_1007_s11424_025_4411_1 crossref_primary_10_1109_TSMC_2023_3274135 crossref_primary_10_1007_s11432_016_5532_x crossref_primary_10_1049_iet_cta_2017_0620 crossref_primary_10_1002_asjc_3274 crossref_primary_10_1007_s11768_025_00255_9 crossref_primary_10_1063_5_0223029 crossref_primary_10_1007_s11432_024_4300_0 crossref_primary_10_1016_j_nahs_2023_101396 crossref_primary_10_1016_j_arcontrol_2018_04_010 crossref_primary_10_1016_j_jfranklin_2018_05_036 crossref_primary_10_1002_asjc_1412 crossref_primary_10_1109_TCNS_2018_2873166 crossref_primary_10_1016_j_amc_2017_02_020 crossref_primary_10_1016_j_automatica_2014_05_005 crossref_primary_10_1049_iet_cta_2018_5230 crossref_primary_10_3390_math10193612 crossref_primary_10_1016_j_cnsns_2025_109293 crossref_primary_10_1109_ACCESS_2020_3008198 crossref_primary_10_1016_j_automatica_2016_01_074 crossref_primary_10_1007_s13235_022_00486_4 crossref_primary_10_1080_10236198_2016_1270275 crossref_primary_10_1016_j_amc_2025_129684 crossref_primary_10_1109_ACCESS_2022_3194331 crossref_primary_10_1016_j_chaos_2025_117002 crossref_primary_10_1109_TAC_2023_3291957 crossref_primary_10_1109_TCNS_2025_3526328 crossref_primary_10_3390_e20010015 crossref_primary_10_1007_s00034_017_0707_2 crossref_primary_10_1002_asjc_2738 crossref_primary_10_1109_TAC_2017_2737142 crossref_primary_10_1007_s13235_017_0228_4 crossref_primary_10_1016_j_amc_2016_05_012 crossref_primary_10_1109_TAC_2015_2404471 crossref_primary_10_1016_j_sysconle_2023_105485 crossref_primary_10_1016_j_jfranklin_2017_11_009 crossref_primary_10_1109_TAC_2014_2329235 crossref_primary_10_1007_s11424_023_2076_1 crossref_primary_10_1016_j_ins_2023_01_031 crossref_primary_10_1007_s11432_015_5376_9 crossref_primary_10_1109_TASE_2019_2899504 crossref_primary_10_1080_00207721_2018_1506063 crossref_primary_10_1049_iet_cta_2017_0014 crossref_primary_10_1002_asjc_2156 crossref_primary_10_1007_s11768_016_5101_2 crossref_primary_10_1007_s11424_016_5057_9 crossref_primary_10_1016_j_automatica_2022_110367 crossref_primary_10_1080_00207179_2017_1306113 crossref_primary_10_1080_00207721_2017_1384964 crossref_primary_10_1109_TNNLS_2019_2921020 crossref_primary_10_1186_s13662_016_0909_0 crossref_primary_10_1016_j_ins_2019_11_015 crossref_primary_10_1007_s11432_017_9265_2 crossref_primary_10_1007_s11768_019_8161_2 crossref_primary_10_1049_cth2_12643 crossref_primary_10_1016_j_amc_2021_126380 crossref_primary_10_1109_TNSE_2023_3321833 crossref_primary_10_1109_TNNLS_2019_2904978 crossref_primary_10_3390_math12142258 crossref_primary_10_1016_j_jfranklin_2023_04_016 crossref_primary_10_1109_JSEN_2024_3510033 crossref_primary_10_1080_23307706_2025_2525197 crossref_primary_10_1002_asjc_2303 crossref_primary_10_1007_s12555_014_0032_5 crossref_primary_10_1007_s11432_017_9238_1 crossref_primary_10_1016_j_fss_2018_12_012 crossref_primary_10_1016_j_nahs_2025_101603 crossref_primary_10_3390_math10193538 crossref_primary_10_1002_asjc_3582 crossref_primary_10_1016_j_automatica_2022_110303 crossref_primary_10_1080_00207721_2020_1831646 crossref_primary_10_1137_18M1170443 |
| Cites_doi | 10.1038/nature02360 10.1109/CDC.2010.5717060 10.1016/j.automatica.2011.01.040 10.1038/359826a0 10.1016/j.physa.2010.06.005 10.1109/TAC.2010.2092290 10.1016/j.automatica.2012.08.029 10.1016/j.chaos.2011.01.002 10.1109/CDC.2009.5400029 10.1103/PhysRevE.72.056118 10.1038/nature04605 10.1016/j.physa.2008.07.022 10.1109/TAC.2010.2043294 10.2307/2951493 10.1137/090758477 10.1016/j.cor.2004.06.006 10.1016/j.automatica.2012.05.053 10.1016/j.automatica.2012.03.024 10.1090/S0273-0979-03-00988-1 10.1016/j.automatica.2009.03.006 10.1016/j.automatica.2012.08.037 10.1109/TNN.2008.2011359 10.1016/j.automatica.2012.10.010 10.1126/science.1093411 |
| ContentType | Journal Article |
| Copyright | 2013 Elsevier Ltd 2014 INIST-CNRS |
| Copyright_xml | – notice: 2013 Elsevier Ltd – notice: 2014 INIST-CNRS |
| DBID | AAYXX CITATION IQODW 7SC 7SP 8FD JQ2 L7M L~C L~D |
| DOI | 10.1016/j.automatica.2013.08.008 |
| DatabaseName | CrossRef Pascal-Francis Computer and Information Systems Abstracts Electronics & Communications Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Applied Sciences Mathematics |
| EISSN | 1873-2836 |
| EndPage | 3389 |
| ExternalDocumentID | 27843836 10_1016_j_automatica_2013_08_008 S0005109813004093 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1~. 1~5 23N 3R3 4.4 457 4G. 5GY 5VS 6TJ 7-5 71M 8P~ 9JN 9JO AAAKF AAAKG AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARIN AAXUO ABDEX ABFNM ABFRF ABJNI ABMAC ABUCO ABXDB ABYKQ ACBEA ACDAQ ACGFO ACGFS ACNNM ACRLP ADBBV ADEZE ADIYS ADMUD ADTZH AEBSH AECPX AEFWE AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPGS AI. AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ APLSM ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HAMUX HLZ HVGLF HZ~ H~9 IHE J1W JJJVA K-O KOM LG9 LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ RXW SBC SDF SDG SDP SES SET SEW SPC SPCBC SSB SSD SST SSZ T5K T9H TAE TN5 VH1 WH7 WUQ X6Y XFK XPP ZMT ~G- 77I 9DU AATTM AAXKI AAYWO AAYXX ABUFD ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH 7SC 7SP 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c447t-c6769b5d92431f8db6a6f58537f708f5dd64496d51bfe451cd9d5400ea72f6f3 |
| ISICitedReferencesCount | 138 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000326553300025&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0005-1098 |
| IngestDate | Sun Nov 09 10:39:59 EST 2025 Mon Jul 21 09:16:50 EDT 2025 Sat Nov 29 07:00:25 EST 2025 Tue Nov 18 21:26:42 EST 2025 Fri Feb 23 02:23:48 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 11 |
| Keywords | Semi-tensor product Evolutionary networked game Algebraic formulation Strategy optimization Evolutionary algorithm Myopia Control synthesis Evolutionary game Dynamical system Game theory Optimization Algebraic method Game network Mathematical programming |
| Language | English |
| License | CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c447t-c6769b5d92431f8db6a6f58537f708f5dd64496d51bfe451cd9d5400ea72f6f3 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 1531023996 |
| PQPubID | 23500 |
| PageCount | 6 |
| ParticipantIDs | proquest_miscellaneous_1531023996 pascalfrancis_primary_27843836 crossref_primary_10_1016_j_automatica_2013_08_008 crossref_citationtrail_10_1016_j_automatica_2013_08_008 elsevier_sciencedirect_doi_10_1016_j_automatica_2013_08_008 |
| PublicationCentury | 2000 |
| PublicationDate | 2013-11-01 |
| PublicationDateYYYYMMDD | 2013-11-01 |
| PublicationDate_xml | – month: 11 year: 2013 text: 2013-11-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Kidlington |
| PublicationPlace_xml | – name: Kidlington |
| PublicationTitle | Automatica (Oxford) |
| PublicationYear | 2013 |
| Publisher | Elsevier Ltd Elsevier |
| Publisher_xml | – name: Elsevier Ltd – name: Elsevier |
| References | Zhao, Li, Cheng (br000130) 2011; 56 Cheng, Qi, Li (br000030) 2011 Zimmermann, Eguiluz (br000135) 2005; 72 Baron, Durieu, Haller, Solal (br000010) 2006; 33 Li, Wang (br000060) 2012; 48 Zhang, Zhang, Chu (br000125) 2011; 44 Wang, Zhang, Liu (br000105) 2012; 48 Cheng, Qi (br000020) 2009; 45 Yang, Li, Chu (br000110) 2013; 49 Hauert, Doebeli (br000045) 2004; 428 Achdou, Capuzzo-Dolcetta (br000005) 2010; 48 Li, Wang, Liu (br000065) 2013 Cheng (br000015) 2009; 20 Cheng, D., Zhao, Y., & Mu, Y. (2010). Strategy optimization with its application to dynamic games. In Li, Yu, Lin (br000070) 2013; 8 Ellison (br000040) 1993; 61 Liu, Wang (br000075) 2012; 48 Cheng, Qi (br000025) 2010; 55 (pp. 5750–5755). Nowak, May (br000090) 1992; 359 Yu, Ni (br000115) 2008; 387 (pp. 5822–5827). Li, Sun (br000055) 2011; 47 Ohtsuki, Hauert, Lieberman, Nowak (br000100) 2006; 441 Hofbauer, Sigmund (br000050) 2003; 40 Zhang, Chen, Zhang, Wang, Chu (br000120) 2010; 389 Marden (br000080) 2012; 48 Mu, Y., & Guo, L. (2009). Optimization and identification in a non-equilibrium dynamic game. In Nowak, Sigmund (br000095) 2004; 303 Zhao (10.1016/j.automatica.2013.08.008_br000130) 2011; 56 Ohtsuki (10.1016/j.automatica.2013.08.008_br000100) 2006; 441 Hofbauer (10.1016/j.automatica.2013.08.008_br000050) 2003; 40 10.1016/j.automatica.2013.08.008_br000085 Li (10.1016/j.automatica.2013.08.008_br000070) 2013; 8 Yang (10.1016/j.automatica.2013.08.008_br000110) 2013; 49 Nowak (10.1016/j.automatica.2013.08.008_br000090) 1992; 359 Zhang (10.1016/j.automatica.2013.08.008_br000125) 2011; 44 Hauert (10.1016/j.automatica.2013.08.008_br000045) 2004; 428 Li (10.1016/j.automatica.2013.08.008_br000060) 2012; 48 Li (10.1016/j.automatica.2013.08.008_br000065) 2013 Cheng (10.1016/j.automatica.2013.08.008_br000030) 2011 Cheng (10.1016/j.automatica.2013.08.008_br000015) 2009; 20 Cheng (10.1016/j.automatica.2013.08.008_br000025) 2010; 55 Wang (10.1016/j.automatica.2013.08.008_br000105) 2012; 48 Zimmermann (10.1016/j.automatica.2013.08.008_br000135) 2005; 72 10.1016/j.automatica.2013.08.008_br000035 Yu (10.1016/j.automatica.2013.08.008_br000115) 2008; 387 Ellison (10.1016/j.automatica.2013.08.008_br000040) 1993; 61 Nowak (10.1016/j.automatica.2013.08.008_br000095) 2004; 303 Zhang (10.1016/j.automatica.2013.08.008_br000120) 2010; 389 Liu (10.1016/j.automatica.2013.08.008_br000075) 2012; 48 Achdou (10.1016/j.automatica.2013.08.008_br000005) 2010; 48 Cheng (10.1016/j.automatica.2013.08.008_br000020) 2009; 45 Marden (10.1016/j.automatica.2013.08.008_br000080) 2012; 48 Li (10.1016/j.automatica.2013.08.008_br000055) 2011; 47 Baron (10.1016/j.automatica.2013.08.008_br000010) 2006; 33 |
| References_xml | – volume: 387 start-page: 6379 year: 2008 end-page: 6384 ident: br000115 article-title: Network effects of animal conflicts publication-title: Physica A: Statistical Mechanics and its Applications – reference: Mu, Y., & Guo, L. (2009). Optimization and identification in a non-equilibrium dynamic game. In – reference: (pp. 5822–5827). – volume: 441 start-page: 502 year: 2006 end-page: 505 ident: br000100 article-title: A simple rule for the evolution of cooperation on graphs and social networks publication-title: Nature – volume: 48 start-page: 1136 year: 2010 end-page: 1162 ident: br000005 article-title: Mean field games: numerical methods publication-title: SIAM Journal on Numerical Analysis – year: 2011 ident: br000030 article-title: Analysis and control of boolean networks: a semi-tensor product approach – volume: 33 start-page: 312 year: 2006 end-page: 327 ident: br000010 article-title: Complexity and stochastic evolution of dyadic networks publication-title: Computers and Operations Research – reference: Cheng, D., Zhao, Y., & Mu, Y. (2010). Strategy optimization with its application to dynamic games. In – volume: 48 start-page: 1839 year: 2012 end-page: 1844 ident: br000075 article-title: Disturbance decoupling of mix-valued logical networks via the semi-tensor product method publication-title: Automatica – reference: (pp. 5750–5755). – volume: 48 start-page: 1227 year: 2012 end-page: 1236 ident: br000105 article-title: A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems publication-title: Automatica – volume: 61 start-page: 1047 year: 1993 end-page: 1071 ident: br000040 article-title: Learning, local interaction, and coordination publication-title: Econometrica – volume: 303 start-page: 793 year: 2004 end-page: 799 ident: br000095 article-title: Evolutionary dynamics of biological games publication-title: Science – volume: 72 start-page: 1 year: 2005 end-page: 16 ident: br000135 article-title: Cooperation, social networks, and the emergence of leadership in a prisoner’s dilemma with adaptive local interactions publication-title: Physical Review E – volume: 49 start-page: 273 year: 2013 end-page: 277 ident: br000110 article-title: Controller design for disturbance decoupling of Boolean control networks publication-title: Automatica – volume: 389 start-page: 4081 year: 2010 end-page: 4086 ident: br000120 article-title: Elimination mechanism promotes cooperation in coevolutionary prisoner’s dilemma games publication-title: Physica A: Statistical Mechanics and its Applications – volume: 47 start-page: 603 year: 2011 end-page: 607 ident: br000055 article-title: Controllability of Boolean control networks with time delays in states publication-title: Automatica – volume: 359 start-page: 826 year: 1992 end-page: 829 ident: br000090 article-title: Evolutionary games and spatial chaos publication-title: Nature – volume: 56 start-page: 1766 year: 2011 end-page: 1776 ident: br000130 article-title: Optimal control of logical control network publication-title: IEEE Transactions on Automatic Control – volume: 428 start-page: 643 year: 2004 end-page: 646 ident: br000045 article-title: Spatial structure often inhibits the evolution of cooperation in the snowdrift game publication-title: Nature – year: 2013 ident: br000065 article-title: A semi-tensor product approach to pseudo-Boolean function with application to Boolean control networks publication-title: Asian Journal of Control – volume: 55 start-page: 2251 year: 2010 end-page: 2258 ident: br000025 article-title: A linear representation of dynamics of Boolean networks publication-title: IEEE Transactions on Automatic Control – volume: 20 start-page: 512 year: 2009 end-page: 521 ident: br000015 article-title: Input-state approach to Boolean networks publication-title: IEEE Transactions on Neural Networks – volume: 40 start-page: 479 year: 2003 end-page: 519 ident: br000050 article-title: Evolutionary game dynamics publication-title: Bulletin of the American Mathematical Society (New Series) – volume: 44 start-page: 131 year: 2011 end-page: 136 ident: br000125 article-title: The evolution of cooperation in spatial groups publication-title: Chaos, Solitons and Fractals – volume: 48 start-page: 2917 year: 2012 end-page: 2922 ident: br000060 article-title: On reachability and controllability of switched Boolean control networks publication-title: Automatica – volume: 45 start-page: 1659 year: 2009 end-page: 1667 ident: br000020 article-title: Controllability and observability of Boolean control networks publication-title: Automatica – volume: 8 start-page: 1 year: 2013 end-page: 11 ident: br000070 article-title: Evolution of cooperation in spatial traveler’s dilemma game publication-title: PloS One – volume: 48 start-page: 3075 year: 2012 end-page: 3088 ident: br000080 article-title: State based potential game publication-title: Automatica – volume: 428 start-page: 643 year: 2004 ident: 10.1016/j.automatica.2013.08.008_br000045 article-title: Spatial structure often inhibits the evolution of cooperation in the snowdrift game publication-title: Nature doi: 10.1038/nature02360 – ident: 10.1016/j.automatica.2013.08.008_br000035 doi: 10.1109/CDC.2010.5717060 – volume: 47 start-page: 603 issue: 3 year: 2011 ident: 10.1016/j.automatica.2013.08.008_br000055 article-title: Controllability of Boolean control networks with time delays in states publication-title: Automatica doi: 10.1016/j.automatica.2011.01.040 – volume: 359 start-page: 826 year: 1992 ident: 10.1016/j.automatica.2013.08.008_br000090 article-title: Evolutionary games and spatial chaos publication-title: Nature doi: 10.1038/359826a0 – volume: 389 start-page: 4081 issue: 19 year: 2010 ident: 10.1016/j.automatica.2013.08.008_br000120 article-title: Elimination mechanism promotes cooperation in coevolutionary prisoner’s dilemma games publication-title: Physica A: Statistical Mechanics and its Applications doi: 10.1016/j.physa.2010.06.005 – volume: 56 start-page: 1766 issue: 8 year: 2011 ident: 10.1016/j.automatica.2013.08.008_br000130 article-title: Optimal control of logical control network publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2010.2092290 – volume: 48 start-page: 2917 issue: 11 year: 2012 ident: 10.1016/j.automatica.2013.08.008_br000060 article-title: On reachability and controllability of switched Boolean control networks publication-title: Automatica doi: 10.1016/j.automatica.2012.08.029 – year: 2011 ident: 10.1016/j.automatica.2013.08.008_br000030 – volume: 44 start-page: 131 issue: 1–3 year: 2011 ident: 10.1016/j.automatica.2013.08.008_br000125 article-title: The evolution of cooperation in spatial groups publication-title: Chaos, Solitons and Fractals doi: 10.1016/j.chaos.2011.01.002 – volume: 8 start-page: 1 issue: 3 year: 2013 ident: 10.1016/j.automatica.2013.08.008_br000070 article-title: Evolution of cooperation in spatial traveler’s dilemma game publication-title: PloS One – ident: 10.1016/j.automatica.2013.08.008_br000085 doi: 10.1109/CDC.2009.5400029 – volume: 72 start-page: 1 issue: 5 year: 2005 ident: 10.1016/j.automatica.2013.08.008_br000135 article-title: Cooperation, social networks, and the emergence of leadership in a prisoner’s dilemma with adaptive local interactions publication-title: Physical Review E doi: 10.1103/PhysRevE.72.056118 – volume: 441 start-page: 502 year: 2006 ident: 10.1016/j.automatica.2013.08.008_br000100 article-title: A simple rule for the evolution of cooperation on graphs and social networks publication-title: Nature doi: 10.1038/nature04605 – volume: 387 start-page: 6379 issue: 25 year: 2008 ident: 10.1016/j.automatica.2013.08.008_br000115 article-title: Network effects of animal conflicts publication-title: Physica A: Statistical Mechanics and its Applications doi: 10.1016/j.physa.2008.07.022 – volume: 55 start-page: 2251 issue: 10 year: 2010 ident: 10.1016/j.automatica.2013.08.008_br000025 article-title: A linear representation of dynamics of Boolean networks publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2010.2043294 – volume: 61 start-page: 1047 issue: 5 year: 1993 ident: 10.1016/j.automatica.2013.08.008_br000040 article-title: Learning, local interaction, and coordination publication-title: Econometrica doi: 10.2307/2951493 – volume: 48 start-page: 1136 issue: 3 year: 2010 ident: 10.1016/j.automatica.2013.08.008_br000005 article-title: Mean field games: numerical methods publication-title: SIAM Journal on Numerical Analysis doi: 10.1137/090758477 – volume: 33 start-page: 312 issue: 2 year: 2006 ident: 10.1016/j.automatica.2013.08.008_br000010 article-title: Complexity and stochastic evolution of dyadic networks publication-title: Computers and Operations Research doi: 10.1016/j.cor.2004.06.006 – volume: 48 start-page: 1839 issue: 8 year: 2012 ident: 10.1016/j.automatica.2013.08.008_br000075 article-title: Disturbance decoupling of mix-valued logical networks via the semi-tensor product method publication-title: Automatica doi: 10.1016/j.automatica.2012.05.053 – volume: 48 start-page: 1227 issue: 7 year: 2012 ident: 10.1016/j.automatica.2013.08.008_br000105 article-title: A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems publication-title: Automatica doi: 10.1016/j.automatica.2012.03.024 – volume: 40 start-page: 479 issue: 4 year: 2003 ident: 10.1016/j.automatica.2013.08.008_br000050 article-title: Evolutionary game dynamics publication-title: Bulletin of the American Mathematical Society (New Series) doi: 10.1090/S0273-0979-03-00988-1 – volume: 45 start-page: 1659 issue: 7 year: 2009 ident: 10.1016/j.automatica.2013.08.008_br000020 article-title: Controllability and observability of Boolean control networks publication-title: Automatica doi: 10.1016/j.automatica.2009.03.006 – volume: 48 start-page: 3075 issue: 12 year: 2012 ident: 10.1016/j.automatica.2013.08.008_br000080 article-title: State based potential game publication-title: Automatica doi: 10.1016/j.automatica.2012.08.037 – volume: 20 start-page: 512 issue: 3 year: 2009 ident: 10.1016/j.automatica.2013.08.008_br000015 article-title: Input-state approach to Boolean networks publication-title: IEEE Transactions on Neural Networks doi: 10.1109/TNN.2008.2011359 – year: 2013 ident: 10.1016/j.automatica.2013.08.008_br000065 article-title: A semi-tensor product approach to pseudo-Boolean function with application to Boolean control networks publication-title: Asian Journal of Control – volume: 49 start-page: 273 issue: 1 year: 2013 ident: 10.1016/j.automatica.2013.08.008_br000110 article-title: Controller design for disturbance decoupling of Boolean control networks publication-title: Automatica doi: 10.1016/j.automatica.2012.10.010 – volume: 303 start-page: 793 year: 2004 ident: 10.1016/j.automatica.2013.08.008_br000095 article-title: Evolutionary dynamics of biological games publication-title: Science doi: 10.1126/science.1093411 |
| SSID | ssj0004182 |
| Score | 2.4803915 |
| Snippet | Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy optimization for a class of evolutionary networked games... |
| SourceID | proquest pascalfrancis crossref elsevier |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 3384 |
| SubjectTerms | Algebra Algebraic formulation Algorithms Applied sciences Computer science; control theory; systems Control system synthesis Control theory. Systems Dynamics Evolutionary Evolutionary networked game Exact sciences and technology Formulations Game theory Games Linear and multilinear algebra, matrix theory Mathematics Operational research and scientific management Operational research. Management science Optimization Sciences and techniques of general use Semi-tensor product Strategy Strategy optimization |
| Title | Algebraic formulation and strategy optimization for a class of evolutionary networked games via semi-tensor product method |
| URI | https://dx.doi.org/10.1016/j.automatica.2013.08.008 https://www.proquest.com/docview/1531023996 |
| Volume | 49 |
| WOSCitedRecordID | wos000326553300025&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: ScienceDirect Freedom Collection - Elsevier customDbUrl: eissn: 1873-2836 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004182 issn: 0005-1098 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lj9MwELZKlwMIIZ6iPFZGQlyqSHEejiNOFeryUFU4FCgny3GSJatuUjZNVfbO_2YcO6kRi1QOXKI2ipuk82Xy2fPNDEIvYsHCjPmJk3hu4ASUSnjm1LpVTDyP0CT0Wm3O51k0n7PlMv44GPzscmG2q6gs2W4Xr_-rqWEfGFulzv6DufsfhR3wGYwOWzA7bA8y_GR1qoLBhWwTE013rjZGUOtKtD_GFfiJc5OAqWWUY6lYtGKO2dZcnZLTlVokDqT0VKlpx9tCjOvsvHCU7h3GrXW9WNOH2ia6k2ZTtdVgRVvQdKc19P2qw5um0urgYmXh84tZvP7aXH7bp6jNdGNtUWxEZS9SEN9k69mOVxU81Q2nO8era5V2ACOWG4V5c2C9kuFrfKW71ysPZ0rsY-5JifX8tiiry_avuC6sP__ATz7NZnwxXS5err87qvmYCtKbTizX0JEXhTEboqPJu-ny_T7BljBddt7chZGEaaHg1Sf_G8-5tRY1PH25bpvyBwNoac3iDrpt5iN4onF0Fw2y8h66aVWpvI8ue0RhC1EYEIU7RGEbUeooLHCLKFzl2EYU7hGFW0RhQBS2EIUNorBG1AO0OJkuXr91TMsORwZBtHGkUkwnYQqzep_kLE2ooDnMSP0oj1yWh2kK_DumaUiSPAtCItM4hTmDm4nIy2nuP0TDsiqzRwgzKgPpAyFPCQsSyRgjrptQLxCUxlGWjFDU_b9cmnL2qqvKine6xTO-twxXluGq4arLRoj0I9e6pMsBY151JuSGmmrKyQGKB4w-_s3q_WlV1N9nPh2h5x0MOLh3FbMTZVY1NQdCQtr8c_r4gGOeoBv7p-8pGm4umuwZui63m6K-ODao_gWxWM49 |
| linkProvider | Elsevier |
| 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=Algebraic+formulation+and+strategy+optimization+for+a+class+of+evolutionary+networked+games+via+semi-tensor+product+method&rft.jtitle=Automatica+%28Oxford%29&rft.au=Guo%2C+Peilian&rft.au=Wang%2C+Yuzhen&rft.au=Li%2C+Haitao&rft.date=2013-11-01&rft.issn=0005-1098&rft.volume=49&rft.issue=11&rft.spage=3384&rft.epage=3389&rft_id=info:doi/10.1016%2Fj.automatica.2013.08.008&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0005-1098&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0005-1098&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0005-1098&client=summon |