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Binary Signaling under Subjective Priors and Costs as a Game

Saritas, Serkan; Gezici, Sinan; Yuksel, Serdar


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/33095</identifier>
  <creators>
    <creator>
      <creatorName>Saritas, Serkan</creatorName>
      <givenName>Serkan</givenName>
      <familyName>Saritas</familyName>
      <affiliation>KTH Royal Inst Technol, Dept Automat Control, SE-10044 Stockholm, Sweden</affiliation>
    </creator>
    <creator>
      <creatorName>Gezici, Sinan</creatorName>
      <givenName>Sinan</givenName>
      <familyName>Gezici</familyName>
      <affiliation>Bilkent Univ, Dept Elect &amp; Elect Engn, TR-06800 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Yuksel, Serdar</creatorName>
      <givenName>Serdar</givenName>
      <familyName>Yuksel</familyName>
      <affiliation>Queens Univ, Dept Math &amp; Stat, Kingston, ON K7L 3N6, Canada</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Binary Signaling Under Subjective Priors And Costs As A Game</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Conference paper</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/33095</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.33094</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.33095</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">Many decentralized and networked control problems involve decision makers which have either misaligned criteria or subjective priors. In the context of such a setup, in this paper we consider binary signaling problems in which the decision makers (the transmitter and the receiver) have subjective priors and/or misaligned objective functions. Depending on the commitment nature of the transmitter to his policies, we formulate the binary signaling problem as a Bayesian game under either Nash or Stackelberg equilibrium concepts and establish equilibrium solutions and their properties. In addition, the effects of subjective priors and costs on Nash and Stackelberg equilibria are analyzed. It is shown that there can be informative or non-informative equilibria in the binary signaling game under the Stackelberg assumption, but there always exists an equilibrium. However, apart from the informative and non-informative equilibria cases, under certain conditions, there does not exist a Nash equilibrium when the receiver is restricted to use deterministic policies. For the corresponding team setup, however, an equilibrium typically always exists and is always informative. Furthermore, we investigate the effects of small perturbations in priors and costs on equilibrium values around the team setup (with identical costs and priors), and show that the Stackelberg equilibrium behavior is not robust to small perturbations whereas the Nash equilibrium is.</description>
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