Publikation:

Nash Equilibria and Bargaining Solutions of Differential Bilinear Games

Lade...
Vorschaubild

Dateien

CalàCampana_2-t02c5hzq551g3.pdf
CalàCampana_2-t02c5hzq551g3.pdfGröße: 715.88 KBDownloads: 61

Datum

2021

Autor:innen

Calà Campana, Francesca
Borzì, Alfio

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Hybrid
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Dynamic Games and Applications. Birkhäuser. 2021, 11(1), pp. 1-28. ISSN 2153-0785. eISSN 2153-0793. Available under: doi: 10.1007/s13235-020-00351-2

Zusammenfassung

This paper is devoted to a theoretical and numerical investigation of Nash equilibria and Nash bargaining problems governed by bilinear (input-affine) differential models. These systems with a bilinear state-control structure arise in many applications in, e.g., biology, economics, physics, where competition between different species, agents, and forces needs to be modelled. For this purpose, the concept of Nash equilibria (NE) appears appropriate, and the building blocks of the resulting differential Nash games are different control functions associated with different players that pursue different non-cooperative objectives. In this framework, existence of Nash equilibria is proved and computed with a semi-smooth Newton scheme combined with a relaxation method. Further, a related Nash bargaining (NB) problem is discussed. This aims at determining an improvement of all players’ objectives with respect to the Nash equilibria. Results of numerical experiments successfully demonstrate the effectiveness of the proposed NE and NB computational framework.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690CALÀ CAMPANA, Francesca, Gabriele CIARAMELLA, Alfio BORZÌ, 2021. Nash Equilibria and Bargaining Solutions of Differential Bilinear Games. In: Dynamic Games and Applications. Birkhäuser. 2021, 11(1), pp. 1-28. ISSN 2153-0785. eISSN 2153-0793. Available under: doi: 10.1007/s13235-020-00351-2
BibTex
@article{CalaCampana2021-03Equil-49235,
  year={2021},
  doi={10.1007/s13235-020-00351-2},
  title={Nash Equilibria and Bargaining Solutions of Differential Bilinear Games},
  number={1},
  volume={11},
  issn={2153-0785},
  journal={Dynamic Games and Applications},
  pages={1--28},
  author={Calà Campana, Francesca and Ciaramella, Gabriele and Borzì, Alfio},
  note={A Correction to this paper has been published: https://doi.org/10.1007/s13235-021-00394-z}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/49235">
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/49235/1/Cal%c3%a0Campana_2-t02c5hzq551g3.pdf"/>
    <dcterms:abstract xml:lang="eng">This paper is devoted to a theoretical and numerical investigation of Nash equilibria and Nash bargaining problems governed by bilinear (input-affine) differential models. These systems with a bilinear state-control structure arise in many applications in, e.g., biology, economics, physics, where competition between different species, agents, and forces needs to be modelled. For this purpose, the concept of Nash equilibria (NE) appears appropriate, and the building blocks of the resulting differential Nash games are different control functions associated with different players that pursue different non-cooperative objectives. In this framework, existence of Nash equilibria is proved and computed with a semi-smooth Newton scheme combined with a relaxation method. Further, a related Nash bargaining (NB) problem is discussed. This aims at determining an improvement of all players’ objectives with respect to the Nash equilibria. Results of numerical experiments successfully demonstrate the effectiveness of the proposed NE and NB computational framework.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Borzì, Alfio</dc:contributor>
    <dc:contributor>Calà Campana, Francesca</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-21T09:00:26Z</dc:date>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Ciaramella, Gabriele</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Borzì, Alfio</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/49235/1/Cal%c3%a0Campana_2-t02c5hzq551g3.pdf"/>
    <dc:creator>Ciaramella, Gabriele</dc:creator>
    <dc:creator>Calà Campana, Francesca</dc:creator>
    <dcterms:issued>2021-03</dcterms:issued>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-21T09:00:26Z</dcterms:available>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/49235"/>
    <dcterms:title>Nash Equilibria and Bargaining Solutions of Differential Bilinear Games</dcterms:title>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

A Correction to this paper has been published: https://doi.org/10.1007/s13235-021-00394-z
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Nein
Diese Publikation teilen