Power allocation between radar and jammer using conflict game theory

Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm are introduced for determining the Nash Equilibrium (NE) solution of the game. The util...

Full description

Saved in:
Bibliographic Details
Published inElectronics letters Vol. 60; no. 16
Main Authors He, Bin, Yang, Ning
Format Journal Article
LanguageEnglish
Published Wiley 01.08.2024
Subjects
Online AccessGet full text

Cover

Loading…
Abstract Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm are introduced for determining the Nash Equilibrium (NE) solution of the game. The utility function enables the calculation of optimal power response functions for both the radar system and the jammer, with the NE solution of the CPAG algorithm obtained through numerical computation. Simulation results demonstrate the convergence of the proposed CPAG algorithm to the NE solution, validating its efficacy. Finally, an analysis of the relationship between the utility function and pricing factors is conducted based on the proposed CPAG algorithm and simulation outcomes. This article introduces a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm to analyze the countermeasure game dynamics between radar and jammer systems. By deriving optimal response functions using the utility function, the Nash Equilibrium (NE) solution of the game is calculated, demonstrating convergence of the CPAG algorithm. Simulation results validate the efficacy of the proposed approach, highlighting the relationship between the utility function and pricing factors.
AbstractList Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm are introduced for determining the Nash Equilibrium (NE) solution of the game. The utility function enables the calculation of optimal power response functions for both the radar system and the jammer, with the NE solution of the CPAG algorithm obtained through numerical computation. Simulation results demonstrate the convergence of the proposed CPAG algorithm to the NE solution, validating its efficacy. Finally, an analysis of the relationship between the utility function and pricing factors is conducted based on the proposed CPAG algorithm and simulation outcomes.
Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm are introduced for determining the Nash Equilibrium (NE) solution of the game. The utility function enables the calculation of optimal power response functions for both the radar system and the jammer, with the NE solution of the CPAG algorithm obtained through numerical computation. Simulation results demonstrate the convergence of the proposed CPAG algorithm to the NE solution, validating its efficacy. Finally, an analysis of the relationship between the utility function and pricing factors is conducted based on the proposed CPAG algorithm and simulation outcomes. This article introduces a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm to analyze the countermeasure game dynamics between radar and jammer systems. By deriving optimal response functions using the utility function, the Nash Equilibrium (NE) solution of the game is calculated, demonstrating convergence of the CPAG algorithm. Simulation results validate the efficacy of the proposed approach, highlighting the relationship between the utility function and pricing factors.
Abstract Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function and a Conflict Power Allocation Game (CPAG) algorithm are introduced for determining the Nash Equilibrium (NE) solution of the game. The utility function enables the calculation of optimal power response functions for both the radar system and the jammer, with the NE solution of the CPAG algorithm obtained through numerical computation. Simulation results demonstrate the convergence of the proposed CPAG algorithm to the NE solution, validating its efficacy. Finally, an analysis of the relationship between the utility function and pricing factors is conducted based on the proposed CPAG algorithm and simulation outcomes.
Author He, Bin
Yang, Ning
Author_xml – sequence: 1
  givenname: Bin
  orcidid: 0009-0008-2262-788X
  surname: He
  fullname: He, Bin
  email: hr_heber@163.com
  organization: Shanxi Datong University
– sequence: 2
  givenname: Ning
  surname: Yang
  fullname: Yang, Ning
  organization: Shanxi Datong University
BookMark eNp9kE1PwzAMhiM0JLbBhV_QM1JH3LRNc0RjfEiV4AASt8hNndGpbVBaNO3fk62IIxdbth8_h3fBZr3ribFr4Cvgqbqltk1WIATAGZuDyHisAD5mbM45iDgDlV6wxTDswpgoJefs_tXtyUfYts7g2Lg-qmjcE_WRxxrDoa-jHXZdYL6Hpt9GxvW2bcwYbbGjaPwk5w-X7NxiO9DVb1-y94fN2_opLl8en9d3ZWyEFBAnMjdY5ZVVwCGUmhMhccogpaqQRZEKlCpPZJVTDULKmkxW52gzo4zNM7Fkz5O3drjTX77p0B-0w0afFs5vNfqxMS3pwgguCiE5pkmqrFXBHCxYJ7ywpkqC62ZyGe-GwZP98wHXxyz1MUt9yjLAMMH7pqXDP6TelGUy_fwAtuF4NQ
Cites_doi 10.1049/el:20063608
10.1109/JSYST.2023.3334759
10.1109/TSP.2011.2169251
10.1631/FITEE.2000652
10.1109/ACCESS.2022.3200761
10.1109/ICC45041.2023.10279737
10.1109/25.752580
10.1002/2017RS006332
10.1109/TAES.2011.5751244
10.1109/TAES.2016.150699
ContentType Journal Article
Copyright 2024 The Author(s). published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology.
Copyright_xml – notice: 2024 The Author(s). published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology.
DBID 24P
AAYXX
CITATION
DOA
DOI 10.1049/ell2.13311
DatabaseName Wiley-Blackwell Open Access Titles
CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList CrossRef


Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 24P
  name: Wiley Online Library Open Access
  url: https://authorservices.wiley.com/open-science/open-access/browse-journals.html
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1350-911X
EndPage n/a
ExternalDocumentID oai_doaj_org_article_8c3038370a4249ff9a79c9cad208fcb2
10_1049_ell2_13311
ELL213311
Genre shortCommunication
GrantInformation_xml – fundername: Supported by Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi Province
  funderid: 2023L287
– fundername: Research start‐up funding for Shanxi Datong University
  funderid: 2023‐B‐02
GroupedDBID -4A
-~X
.DC
0R~
0ZK
1OC
24P
29G
2QL
3EH
4.4
4IJ
5GY
6IK
8FE
8FG
8VB
96U
AAHJG
AAJGR
AAMMB
ABJCF
ABQXS
ACCMX
ACESK
ACGFO
ACGFS
ACIWK
ACXQS
ADEYR
ADIYS
AEFGJ
AEGXH
AENEX
AFAZI
AFKRA
AGXDD
AI.
AIAGR
AIDQK
AIDYY
ALMA_UNASSIGNED_HOLDINGS
ALUQN
ARAPS
AVUZU
BBWZM
BENPR
BGLVJ
CCPQU
CS3
DU5
EBS
EJD
ELQJU
F5P
F8P
GOZPB
GROUPED_DOAJ
GRPMH
HCIFZ
HZ~
IAO
IDLOA
IFBGX
IPLJI
ITC
K1G
K7-
L6V
LAI
LXO
M43
M7S
MCNEO
MS~
O9-
OK1
P0-
P2P
P62
PHGZM
PHGZT
PTHSS
QWB
R4Z
RIG
RNS
RUI
TN5
U5U
UNMZH
VH1
WH7
ZL0
~ZZ
AAYXX
CITATION
PQGLB
PUEGO
WIN
ID FETCH-LOGICAL-c3731-276cab6bf9101f91d0eeae0e514eb878843a79627b6ed1377dec5d6af5c9cf653
IEDL.DBID DOA
ISSN 0013-5194
IngestDate Wed Aug 27 01:17:49 EDT 2025
Sun Jul 06 05:06:26 EDT 2025
Sun Jul 06 04:45:09 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 16
Language English
License Attribution
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c3731-276cab6bf9101f91d0eeae0e514eb878843a79627b6ed1377dec5d6af5c9cf653
ORCID 0009-0008-2262-788X
OpenAccessLink https://doaj.org/article/8c3038370a4249ff9a79c9cad208fcb2
PageCount 3
ParticipantIDs doaj_primary_oai_doaj_org_article_8c3038370a4249ff9a79c9cad208fcb2
crossref_primary_10_1049_ell2_13311
wiley_primary_10_1049_ell2_13311_ELL213311
PublicationCentury 2000
PublicationDate August 2024
2024-08-00
2024-08-01
PublicationDateYYYYMMDD 2024-08-01
PublicationDate_xml – month: 08
  year: 2024
  text: August 2024
PublicationDecade 2020
PublicationTitle Electronics letters
PublicationYear 2024
Publisher Wiley
Publisher_xml – name: Wiley
References 2012; 60
2017; 52
2016; 1
2006; 42
2023
2021; 115
1999; 48
2022; 23
2016; 52
2007
2022; 10
2011; 47
2024; 18
e_1_2_10_12_1
Vöcking B. (e_1_2_10_10_1) 2007
e_1_2_10_13_1
e_1_2_10_11_1
He B. (e_1_2_10_6_1) 2021; 115
e_1_2_10_2_1
e_1_2_10_4_1
e_1_2_10_3_1
Ni J. (e_1_2_10_9_1) 2016; 1
e_1_2_10_5_1
e_1_2_10_8_1
e_1_2_10_14_1
e_1_2_10_7_1
References_xml – volume: 60
  start-page: 687
  issue: 2
  year: 2012
  end-page: 699
  article-title: The MIMO radar and jammer games
  publication-title: IEEE Trans. Signal Process
– volume: 23
  start-page: 617
  issue: 1
  year: 2022
  end-page: 629
  article-title: Supermodular interference suppression game for multistatic MIMO radar networks and multiple jammers with multiple targets
  publication-title: Front. Inform. Technol. Electron. Eng.
– volume: 42
  start-page: 162
  issue: 3
  year: 2006
  end-page: 163
  article-title: Game‐theoretic power control in DS‐CDMA wireless networks with successive interference cancellation
  publication-title: Electron. Lett.
– volume: 10
  start-page: 97429
  issue: 10
  year: 2022
  end-page: 97438
  article-title: A radar anti‐jamming strategy based on game theory with temporal constraints
  publication-title: IEEE Access
– volume: 115
  start-page: 1
  issue: 1
  year: 2021
  end-page: 13
  article-title: Joint beamforming and power allocation between a multistatic MIMO radar network and multiple targets using game theoretic analysis
  publication-title: Digit. Signal Process.
– year: 2007
– volume: 47
  start-page: 1081
  issue: 2
  year: 2011
  end-page: 1100
  article-title: Game theoretic analysis of adaptive radar jamming
  publication-title: IEEE Trans. Aerosp. Electron. Syst.
– start-page: 5910
  year: 2023
  end-page: 5915
  article-title: Efficient power control for integrated sensing and communication networks with dual connectivity
– volume: 52
  start-page: 1030
  issue: 8
  year: 2017
  end-page: 1045
  article-title: Power allocation for target detection in radar networks based on low probability of intercept: A cooperative game theoretical strategy
  publication-title: Radio Sci
– volume: 52
  start-page: 2760
  issue: 6
  year: 2016
  end-page: 2774
  article-title: Game theoretic analysis for MIMO radars with multiple targets
  publication-title: IEEE Trans. Aerosp. Electron. Syst.
– volume: 48
  start-page: 553
  issue: 2
  year: 1999
  end-page: 562
  article-title: A distributed fixed‐step power control algorithm with quantization and active link quality protection
  publication-title: IEEE Trans. Veh. Technol.
– volume: 18
  start-page: 61
  issue: 1
  year: 2024
  end-page: 72
  article-title: Power control game between a distributed radar network and a smart jammer
  publication-title: IEEE Syst. J
– volume: 1
  start-page: 1
  year: 2016
  end-page: 13
  article-title: Game theoretic approach for joint transmit beamforming and power control in cognitive radio MIMO broadcast channels
  publication-title: EURASIP J. Wirel. Commun. Netw.
– ident: e_1_2_10_11_1
  doi: 10.1049/el:20063608
– ident: e_1_2_10_7_1
  doi: 10.1109/JSYST.2023.3334759
– ident: e_1_2_10_3_1
  doi: 10.1109/TSP.2011.2169251
– volume: 115
  start-page: 1
  issue: 1
  year: 2021
  ident: e_1_2_10_6_1
  article-title: Joint beamforming and power allocation between a multistatic MIMO radar network and multiple targets using game theoretic analysis
  publication-title: Digit. Signal Process.
– ident: e_1_2_10_8_1
  doi: 10.1631/FITEE.2000652
– ident: e_1_2_10_12_1
  doi: 10.1109/ACCESS.2022.3200761
– ident: e_1_2_10_13_1
  doi: 10.1109/ICC45041.2023.10279737
– ident: e_1_2_10_14_1
  doi: 10.1109/25.752580
– ident: e_1_2_10_5_1
  doi: 10.1002/2017RS006332
– volume: 1
  start-page: 1
  year: 2016
  ident: e_1_2_10_9_1
  article-title: Game theoretic approach for joint transmit beamforming and power control in cognitive radio MIMO broadcast channels
  publication-title: EURASIP J. Wirel. Commun. Netw.
– volume-title: Algorithmic Game Theory
  year: 2007
  ident: e_1_2_10_10_1
– ident: e_1_2_10_2_1
  doi: 10.1109/TAES.2011.5751244
– ident: e_1_2_10_4_1
  doi: 10.1109/TAES.2016.150699
SSID ssj0012997
Score 2.437233
Snippet Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility function...
Abstract Conflict game theory is employed to analyze the countermeasure relationship between radar systems and jammers. To address this issue, a novel utility...
SourceID doaj
crossref
wiley
SourceType Open Website
Index Database
Publisher
SubjectTerms game theory
power control
radar
sonar and navigation
SummonAdditionalLinks – databaseName: Wiley-Blackwell Open Access Titles
  dbid: 24P
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF5KvehBfGJ9saAnIdpkNy_w4qOlSJUeLPQWZl8FqamUevDfO7NJqr0IXkJINmSZfcw3MzvfMHYZCmUEQBZAqmwgDU5jCFUWSGcA9a0WmaIE5-eXZDCWT5N40mK3TS5MxQ-xcrjRyvD7NS1wUFUVEgS1NIizWXSNFhYl9m5Qbi0x50dytIoh4EabNvULEKfIhpxU5jc_366pI8_av45SvZrp77DtGh_yu2pAd1nLlnts6xdr4D57HFFlM04R88rfxuvDVnwBBvBFafibd0hzOtU-5bpO_eBTeLfcpy5-HbBxv_f6MAjqYgiBFqkIgyhNNKhEOdTvIV5M11qwXYuAx6oMDVkpIKVKOiqxhmgEjdWxScDFOtcuicUha5fz0h4xbgRiPBIYUNF4JSGOE4RxoTASwgxkh100Mik-Ks6LwseqZV6Q5AovuQ67J3GtWhBPtX8wX0yLetoXmUYVSfw6INHOcy7HPmJ_wETdzGkVddiVF_Yf_yl6w2Hk747_0_iEbUaIP6qzeqesvVx82jPED0t17qfJN2YlvrE
  priority: 102
  providerName: Wiley-Blackwell
Title Power allocation between radar and jammer using conflict game theory
URI https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fell2.13311
https://doaj.org/article/8c3038370a4249ff9a79c9cad208fcb2
Volume 60
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF60XvQgPrE-yoKehNhudrNJjlVbilTpwUjxEmYfEaRGKfXgv3d2k0h70YuXEJLAhm-XmW92Zr8h5IJxZThAEkCsbCAMLmNgKglEYQD9reaJcgec7x_kKBN302i61OrL1YRV8sAVcN1Eo5F1Ci0gMFIoihTiVKcaTNhLCq289UWf1wRTdf4AjWzc9C5AjiIaYVKRdu1sFl5hZMbYiivyiv2rDNW7mOEO2a65Ie1X_7RL1my5R7aWFAP3ye3EdTWjLlte7bXRutCKzsEAvigNffWb0dRVtL9QXR_7oC_wZqk_tvh1QLLh4PFmFNSNEALNY86CMJYalFQF-naGF9OzFmzPItmxKsEgVnBERYaxktY4CUFjdWQkFBEiVciIH5JW-V7aI0INR36H1lGAaxivBESRRArHuBHAEhBtct5gkn9Uehe5z1OLNHfI5R65Nrl2cP184TSq_QOcubyeufyvmWuTSw_2L-Pkg_E49HfH_zHiCdkMkZNU9XunpLWYf9oz5BQL1SHroZh0yEb_KXvOOn4xfQPJHclS
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF6kHtSD-MT6XNCTEG2ym9fRR0vVtPTQQm9h9pGC1FRKPfjvndmkVS-ClxCyG7JMdne-mZ35hrErXygjABIPYmU9aXAag68STxYGUN9qkShKcO71o-5IPo_DcR2bQ7kwFT_EyuFGK8Pt17TAySFdGZySSDLtdBrcoIlFmb3rMgpiWpeBHKwOEXCnjZcFDBCoyCU7qUxvv9_9pY8cbf9vmOr0TGeHbdcAkd9Vf3SXrdlyj239oA3cZ48DKm3G6ci8crjxOtqKz8EANpSGvzqPNKew9gnXde4Hn8Cb5S538fOAjTrt4UPXq6sheFrEwveCONKgIlWggvfxYlrWgm1ZRDxWJWjJSgExldJRkTXEI2isDk0ERahTXUShOGSNclbaI8aNQJCHW6QEqhqvJIRhhDjOF0aCn4BsssulTPL3ivQid4fVMs1JcrmTXJPdk7hWPYio2j2YzSd5Pe_zRKOOJIIdkGjoFUWKY8TxgAlaSaFV0GTXTth_fCdvZ1ng7o7_0_mCbXSHvSzPnvovJ2wzQDBSBe6dssZi_mHPEEws1LmbMl_GA8Id
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF5KC6IH8Yn1uaAnIdpkNy_wUm1L1Vp6MFK8hNlHClLTUurBf-_sJql6EbyEkN2QZTK7883szjeEXLhMKAYQORAK7XCFagyuiByeKUB7K1kkTILz0zDoJ_xh7I9r5KbKhSn4IVYBNzMz7HptJvhcZYW_yQ1Hpp5OvSv0sExib8PQ5KFON9ovyWuy2kXApTasKhggUuEVPSmPr7_f_mWQLG__b5xqDU1vi2yWCJG2i1-6TWo63yEbP3gDd0lnZGqbUbNnXkTcaHncii5AATbkir7ZkDQ159onVJbJH3QC75ra5MXPPZL0us93facsh-BIFjLX8cJAgghEhhbexYtqaQ26pRHyaBGhK8sZhKaWjgi0MkSCSktfBZD5MpZZ4LN9Us9nuT4gVDFEebhGcjBl4wUH3w8QyLlMcXAj4E1yXskknResF6ndreZxaiSXWsk1ya0R16qHYaq2D2aLSVoqfhpJNJKGYQc4enpZFuMYcTygvFaUSeE1yaUV9h_fSbuDgWfvDv_T-YysjTq9dHA_fDwi6x6CkeLg3jGpLxcf-gTBxFKcljrzBY3rwxU
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=Power+allocation+between+radar+and+jammer+using+conflict+game+theory&rft.jtitle=Electronics+letters&rft.au=Bin+He&rft.au=Ning+Yang&rft.date=2024-08-01&rft.pub=Wiley&rft.issn=0013-5194&rft.eissn=1350-911X&rft.volume=60&rft.issue=16&rft.epage=n%2Fa&rft_id=info:doi/10.1049%2Fell2.13311&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_8c3038370a4249ff9a79c9cad208fcb2
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0013-5194&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0013-5194&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0013-5194&client=summon