<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00447006</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-17T04:16:27+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Power allocation games in wireless networks of multi-antenna terminals</title>
            <author role="aut">
              <persName>
                <forename type="first">Elena Veronica</forename>
                <surname>Belmega</surname>
              </persName>
              <email type="md5">de6789d44bba53df7ff5908c4d8cd260</email>
              <email type="domain">ensea.fr</email>
              <idno type="idhal" notation="string">elena-veronica-belmega</idno>
              <idno type="idhal" notation="numeric">11721</idno>
              <idno type="halauthorid" notation="string">7510-11721</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4336-4704</idno>
              <idno type="IDREF">https://www.idref.fr/157598101</idno>
              <affiliation ref="#struct-1289"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Samson</forename>
                <surname>Lasaulce</surname>
              </persName>
              <email type="md5">557f349bdea0d6fb4f0045872034bcab</email>
              <email type="domain">lss.supelec.fr</email>
              <idno type="idhal" notation="string">samson-lasaulce</idno>
              <idno type="idhal" notation="numeric">1068236</idno>
              <idno type="halauthorid" notation="string">235801-1068236</idno>
              <idno type="IDREF">https://www.idref.fr/124699111</idno>
              <idno type="VIAF">https://viaf.org/viaf/176519438</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-9837-9538</idno>
              <affiliation ref="#struct-1289"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Merouane</forename>
                <surname>Debbah</surname>
              </persName>
              <email type="md5">649608266b12fd1fc55888b0bedee1c9</email>
              <email type="domain">supelec.fr</email>
              <idno type="idhal" notation="numeric">863308</idno>
              <idno type="halauthorid" notation="string">222004-863308</idno>
              <affiliation ref="#struct-58436"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Marc</forename>
                <surname>Jungers</surname>
              </persName>
              <email type="md5">ccfd4f6c42d5f93f93f6a1a3d56363db</email>
              <email type="domain">univ-lorraine.fr</email>
              <idno type="idhal" notation="string">mjungers</idno>
              <idno type="idhal" notation="numeric">4876</idno>
              <idno type="halauthorid" notation="string">2621-4876</idno>
              <idno type="IDREF">https://www.idref.fr/116047305</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-6670-3249</idno>
              <affiliation ref="#struct-1001"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Julien</forename>
                <surname>Dumont</surname>
              </persName>
              <idno type="idhal" notation="numeric">758827</idno>
              <idno type="halauthorid" notation="string">235800-758827</idno>
              <idno type="IDREF">https://www.idref.fr/170616630</idno>
              <affiliation ref="#struct-300518"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>E. Veronica</forename>
                <surname>Belmega</surname>
              </persName>
              <email type="md5">1682b3f9cfc2e9787a041c159dd66bcf</email>
              <email type="domain">esiee.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2010-01-14 08:20:52</date>
              <date type="whenWritten">2009-09-14</date>
              <date type="whenModified">2025-11-04 12:01:00</date>
              <date type="whenReleased">2010-01-18 21:20:04</date>
              <date type="whenProduced">2011-05-05</date>
              <date type="whenEndEmbargoed">2010-01-14</date>
              <ref type="file" target="https://hal.science/hal-00447006v1/document">
                <date notBefore="2010-01-14"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00447006v1/file/2009-10-14-mimo-springer-vero.pdf" id="file-447006-361771">
                <date notBefore="2010-01-14"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/1011.4598.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="137692">
                <persName>
                  <forename>E. Veronica</forename>
                  <surname>Belmega</surname>
                </persName>
                <email type="md5">1682b3f9cfc2e9787a041c159dd66bcf</email>
                <email type="domain">esiee.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00447006</idno>
            <idno type="halUri">https://hal.science/hal-00447006</idno>
            <idno type="halBibtex">belmega:hal-00447006</idno>
            <idno type="halRefHtml">&lt;i&gt;Telecommunication Systems&lt;/i&gt;, 2011, 47 (1), pp.109-122. &lt;a target="_blank" href="https://dx.doi.org/10.1007/s11235-010-9305-3"&gt;&amp;#x27E8;10.1007/s11235-010-9305-3&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Telecommunication Systems, 2011, 47 (1), pp.109-122. &amp;#x27E8;10.1007/s11235-010-9305-3&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-447006-361771"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SUPELEC">SUPELEC</idno>
            <idno type="stamp" n="EC-PARIS">Ecole Centrale Paris</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PSUD">Université Paris Sud - Paris XI</idno>
            <idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno>
            <idno type="stamp" n="CRAN">Centre de Recherche en Automatique de Nancy</idno>
            <idno type="stamp" n="SUP_LSS">Laboratoire des Signaux et Systèmes</idno>
            <idno type="stamp" n="SUP_CHAIRE-ALU" corresp="SUPELEC">Chaire Radio Flexible Alcatel-Lucent/Supélec</idno>
            <idno type="stamp" n="SUP_E3S">E3S - Supélec Sciences des Systèmes</idno>
            <idno type="stamp" n="SUP_TELECOMS" corresp="SUP_LSS">Pôle Télécoms et Réseaux</idno>
            <idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-PSUD-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris Sud pour Paris Saclay</idno>
            <idno type="stamp" n="AM2I-UL">Pôle scientifique Automatique, Mathématiques, Informatique et leurs Intéractions de l'Université de Lorraine</idno>
          </seriesStmt>
          <notesStmt>
            <note type="description">Springer Telecommunications Systems Journal, 2009</note>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Power allocation games in wireless networks of multi-antenna terminals</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Elena Veronica</forename>
                    <surname>Belmega</surname>
                  </persName>
                  <email type="md5">de6789d44bba53df7ff5908c4d8cd260</email>
                  <email type="domain">ensea.fr</email>
                  <idno type="idhal" notation="string">elena-veronica-belmega</idno>
                  <idno type="idhal" notation="numeric">11721</idno>
                  <idno type="halauthorid" notation="string">7510-11721</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4336-4704</idno>
                  <idno type="IDREF">https://www.idref.fr/157598101</idno>
                  <affiliation ref="#struct-1289"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Samson</forename>
                    <surname>Lasaulce</surname>
                  </persName>
                  <email type="md5">557f349bdea0d6fb4f0045872034bcab</email>
                  <email type="domain">lss.supelec.fr</email>
                  <idno type="idhal" notation="string">samson-lasaulce</idno>
                  <idno type="idhal" notation="numeric">1068236</idno>
                  <idno type="halauthorid" notation="string">235801-1068236</idno>
                  <idno type="IDREF">https://www.idref.fr/124699111</idno>
                  <idno type="VIAF">https://viaf.org/viaf/176519438</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-9837-9538</idno>
                  <affiliation ref="#struct-1289"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Merouane</forename>
                    <surname>Debbah</surname>
                  </persName>
                  <email type="md5">649608266b12fd1fc55888b0bedee1c9</email>
                  <email type="domain">supelec.fr</email>
                  <idno type="idhal" notation="numeric">863308</idno>
                  <idno type="halauthorid" notation="string">222004-863308</idno>
                  <affiliation ref="#struct-58436"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Marc</forename>
                    <surname>Jungers</surname>
                  </persName>
                  <email type="md5">ccfd4f6c42d5f93f93f6a1a3d56363db</email>
                  <email type="domain">univ-lorraine.fr</email>
                  <idno type="idhal" notation="string">mjungers</idno>
                  <idno type="idhal" notation="numeric">4876</idno>
                  <idno type="halauthorid" notation="string">2621-4876</idno>
                  <idno type="IDREF">https://www.idref.fr/116047305</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-6670-3249</idno>
                  <affiliation ref="#struct-1001"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Julien</forename>
                    <surname>Dumont</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">758827</idno>
                  <idno type="halauthorid" notation="string">235800-758827</idno>
                  <idno type="IDREF">https://www.idref.fr/170616630</idno>
                  <affiliation ref="#struct-300518"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">19369</idno>
                <idno type="issn">1018-4864</idno>
                <idno type="eissn">1572-9451</idno>
                <title level="j">Telecommunication Systems</title>
                <imprint>
                  <publisher>Springer Verlag (Germany)</publisher>
                  <biblScope unit="volume">47</biblScope>
                  <biblScope unit="issue">1</biblScope>
                  <biblScope unit="pp">109-122</biblScope>
                  <date type="datePub">2011-05-05</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/s11235-010-9305-3</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">MIMO</term>
                <term xml:lang="en">MAC</term>
                <term xml:lang="en">non-cooperative games</term>
                <term xml:lang="en">Nash equilibrium</term>
                <term xml:lang="en">power allocation</term>
                <term xml:lang="en">price of anarchy</term>
                <term xml:lang="en">random matrix theory</term>
              </keywords>
              <classCode scheme="halDomain" n="info.info-it">Computer Science [cs]/Information Theory [cs.IT]</classCode>
              <classCode scheme="halDomain" n="math.math-it">Mathematics [math]/Information Theory [math.IT]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We consider wireless networks that can be modeled by multiple access channels in which all the terminals are equipped with multiple antennas. The propagation model used to account for the effects of transmit and receive antenna correlations is the unitary-invariant-unitary model, which is one of the most general models available in the literature. In this context, we introduce and analyze two resource allocation games. In both games, the mobile stations selfishly choose their power allocation policies in order to maximize their individual uplink transmission rates; in particular they can ignore some specified centralized policies. In the first game considered, the base station implements successive interference cancellation (SIC) and each mobile station chooses his best space-time power allocation scheme; here, a coordination mechanism is used to indicate to the users the order in which the receiver applies SIC. In the second framework, the base station is assumed to implement single-user decoding. For these two games a thorough analysis of the Nash equilibrium is provided: the existence and uniqueness issues are addressed; the corresponding power allocation policies are determined by exploiting random matrix theory; the sum-rate efficiency of the equilibrium is studied analytically in the low and high signal-to-noise ratio regimes and by simulations in more typical scenarios. Simulations show that, in particular, the sum-rate efficiency is high for the type of systems investigated and the performance loss due to the use of the proposed suboptimum coordination mechanism is very small.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1289" status="OLD">
          <idno type="IdRef">133818799</idno>
          <idno type="RNSR">199812842X</idno>
          <orgName>Laboratoire des signaux et systèmes</orgName>
          <orgName type="acronym">L2S</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.l2s.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92966" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR8506" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-58436" status="OLD">
          <orgName>Chaire Radio Flexible Alcatel-Lucent/Supélec</orgName>
          <orgName type="acronym">Chaire Radio Flexible</orgName>
          <desc>
            <address>
              <addrLine>Plateau du Moulon 3, rue Joliot-Curie 91192 Gif-sur-Yvette Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supelec.fr/d2ri/flexibleradio/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-303397" type="direct"/>
            <relation active="#struct-368391" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1001" status="OLD">
          <orgName>Centre de Recherche en Automatique de Nancy</orgName>
          <orgName type="acronym">CRAN</orgName>
          <date type="start">2001-01-01</date>
          <date type="end">2011-12-31</date>
          <desc>
            <address>
              <addrLine>Université Henri Poincaré, 2 avenue de la forêt de Haye, 54516 Vandoeuvre les Nancy</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cran.uhp-nancy.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300291" type="direct"/>
            <relation active="#struct-300293" type="direct"/>
            <relation name="UMR7039" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300518" status="VALID">
          <orgName>France Télécom</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-92966" status="OLD">
          <idno type="ROR">https://ror.org/028rypz17</idno>
          <orgName>Université Paris-Sud - Paris 11</orgName>
          <orgName type="acronym">UP11</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment 300 - 91405 Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-psud.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-303397" status="VALID">
          <orgName>Ecole Supérieure d'Electricité - SUPELEC (FRANCE)</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-368391" status="INCOMING">
          <orgName>Alcatel-Lucent</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300291" status="OLD">
          <orgName>Université Henri Poincaré - Nancy 1</orgName>
          <orgName type="acronym">UHP</orgName>
          <date type="end">2011-12-31</date>
          <desc>
            <address>
              <addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300293" status="OLD">
          <orgName>Institut National Polytechnique de Lorraine</orgName>
          <orgName type="acronym">INPL</orgName>
          <date type="end">2011-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>