A zero-sum differential game for two opponent masses
We investigate an infinite dimensional partial differential equation of Isaacs' type, which arises from a zero-sum differential game between two masses. The evolution of the two masses is described by a controlled transport/continuity equation, where the control is given by the vector velocity...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Bagagiolo, Fabio Capuani, Rossana Marzufero, Luciano |
| description | We investigate an infinite dimensional partial differential equation of
Isaacs' type, which arises from a zero-sum differential game between two
masses. The evolution of the two masses is described by a controlled
transport/continuity equation, where the control is given by the vector
velocity field. Our study is set in the framework of the viscosity solutions
theory in Hilbert spaces, and we prove the uniqueness of the value functions as
solutions of the Isaacs equation. |
| doi_str_mv | 10.48550/arxiv.2408.03860 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2408_03860</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2408_03860</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2408_038603</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw0DMwtjAz4GQwcVSoSi3K1y0uzVVIyUxLSy1KzSvJTMxRSE_MTVVIyy9SKCnPV8gvKMjPA0oo5CYWF6cW8zCwpiXmFKfyQmluBnk31xBnD12w-fEFRZm5iUWV8SB74sH2GBNWAQAm3DJP</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A zero-sum differential game for two opponent masses</title><source>arXiv.org</source><creator>Bagagiolo, Fabio ; Capuani, Rossana ; Marzufero, Luciano</creator><creatorcontrib>Bagagiolo, Fabio ; Capuani, Rossana ; Marzufero, Luciano</creatorcontrib><description>We investigate an infinite dimensional partial differential equation of
Isaacs' type, which arises from a zero-sum differential game between two
masses. The evolution of the two masses is described by a controlled
transport/continuity equation, where the control is given by the vector
velocity field. Our study is set in the framework of the viscosity solutions
theory in Hilbert spaces, and we prove the uniqueness of the value functions as
solutions of the Isaacs equation.</description><identifier>DOI: 10.48550/arxiv.2408.03860</identifier><language>eng</language><subject>Mathematics - Optimization and Control</subject><creationdate>2024-08</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2408.03860$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2408.03860$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bagagiolo, Fabio</creatorcontrib><creatorcontrib>Capuani, Rossana</creatorcontrib><creatorcontrib>Marzufero, Luciano</creatorcontrib><title>A zero-sum differential game for two opponent masses</title><description>We investigate an infinite dimensional partial differential equation of
Isaacs' type, which arises from a zero-sum differential game between two
masses. The evolution of the two masses is described by a controlled
transport/continuity equation, where the control is given by the vector
velocity field. Our study is set in the framework of the viscosity solutions
theory in Hilbert spaces, and we prove the uniqueness of the value functions as
solutions of the Isaacs equation.</description><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw0DMwtjAz4GQwcVSoSi3K1y0uzVVIyUxLSy1KzSvJTMxRSE_MTVVIyy9SKCnPV8gvKMjPA0oo5CYWF6cW8zCwpiXmFKfyQmluBnk31xBnD12w-fEFRZm5iUWV8SB74sH2GBNWAQAm3DJP</recordid><startdate>20240807</startdate><enddate>20240807</enddate><creator>Bagagiolo, Fabio</creator><creator>Capuani, Rossana</creator><creator>Marzufero, Luciano</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240807</creationdate><title>A zero-sum differential game for two opponent masses</title><author>Bagagiolo, Fabio ; Capuani, Rossana ; Marzufero, Luciano</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2408_038603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Bagagiolo, Fabio</creatorcontrib><creatorcontrib>Capuani, Rossana</creatorcontrib><creatorcontrib>Marzufero, Luciano</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bagagiolo, Fabio</au><au>Capuani, Rossana</au><au>Marzufero, Luciano</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A zero-sum differential game for two opponent masses</atitle><date>2024-08-07</date><risdate>2024</risdate><abstract>We investigate an infinite dimensional partial differential equation of
Isaacs' type, which arises from a zero-sum differential game between two
masses. The evolution of the two masses is described by a controlled
transport/continuity equation, where the control is given by the vector
velocity field. Our study is set in the framework of the viscosity solutions
theory in Hilbert spaces, and we prove the uniqueness of the value functions as
solutions of the Isaacs equation.</abstract><doi>10.48550/arxiv.2408.03860</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2408.03860 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2408_03860 |
| source | arXiv.org |
| subjects | Mathematics - Optimization and Control |
| title | A zero-sum differential game for two opponent masses |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T01%3A41%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20zero-sum%20differential%20game%20for%20two%20opponent%20masses&rft.au=Bagagiolo,%20Fabio&rft.date=2024-08-07&rft_id=info:doi/10.48550/arxiv.2408.03860&rft_dat=%3Carxiv_GOX%3E2408_03860%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |