Repository logo
 
Publication

On lattices from combinatorial game theory: infinite case

2020-03-12Journal article Restricted access
Simple item page
dc.contributor.authorCarvalho, Alda
dc.contributor.authorSantos, Carlos
dc.contributor.authorDias, Cátia
dc.contributor.authorCoelho, Francisco
dc.contributor.authorNeto, João P.
dc.contributor.authorNowakowski, Richard
dc.contributor.authorVinagre, Sandra
dc.date.accessioned2022-07-13T11:17:56Z
dc.date.available2022-07-13T11:17:56Z
dc.date.issued2020-03-12
dc.description.abstractGiven a set of combinatorial games, the children are all those games that can be generated using as options the games of the original set. It is known that the partial order of the children of all games whose birthday is less than a fxed ordinal is a distributive lattice and also that the children of any set of games form a complete lat tice. We are interested in the converse. In a previous paper, we showed that for any fnite lattice there exists a fnite set of games such that the partial order of the chil dren, minus the top and bottom elements, is isomorphic to the original lattice. Here, the main part of the paper is to extend the result to infnite complete lattices. An original motivating question was to characterize those sets whose children generate distributive lattices. While we do not solve it, we show that if the process of taking children is iterated, eventually the corresponding lattice is distributive.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationCARVALHO, Alda; [et al] – On lattices from combinatorial game theory: infinite case. International Journal of Game Theory. ISSN 1432-1270. Vol. 50, N.º 3 (2021), pp. 655-670.pt_PT
dc.identifier.doi10.1007/s00182-020-00715-3pt_PT
dc.identifier.issn1432-1270
dc.identifier.urihttp://hdl.handle.net/10400.21/14830
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationResearch in Economics and Mathematics
dc.relationCenter for Functional Analysis, Linear Structures and Applications
dc.relationBiosystems & Integrative Sciences Institute
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007/s00182-020-00715-3.pdfpt_PT
dc.subjectCombinatorial game theorypt_PT
dc.subjectLatticespt_PT
dc.subjectRepresentation theoremspt_PT
dc.titleOn lattices from combinatorial game theory: infinite casept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleResearch in Economics and Mathematics
oaire.awardTitleCenter for Functional Analysis, Linear Structures and Applications
oaire.awardTitleBiosystems & Integrative Sciences Institute
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F05069%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04721%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04046%2F2019/PT
oaire.citation.endPage670pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage655pt_PT
oaire.citation.titleInternational Journal of Game Theorypt_PT
oaire.citation.volume50pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameCarvalho
person.familyNameSantos
person.familyNameGonçalves Coelho
person.familyNameNowakowski
person.familyNameVinagre
person.givenNameAlda
person.givenNameCarlos
person.givenNameFrancisco Manuel
person.givenNameRichard
person.givenNameSandra
person.identifierR-000-PGY
person.identifier.ciencia-idFD18-CBDD-B7C7
person.identifier.ciencia-idA210-4691-62EE
person.identifier.ciencia-idAF10-03F3-E074
person.identifier.ciencia-idC515-500E-A7A9
person.identifier.orcid0000-0003-2642-4947
person.identifier.orcid0000-0001-6609-6541
person.identifier.orcid0000-0002-3586-8745
person.identifier.orcid0000-0002-4434-672X
person.identifier.orcid0000-0002-0467-2256
person.identifier.ridP-1444-2015
person.identifier.scopus-author-id25027091800
person.identifier.scopus-author-id36961140800
person.identifier.scopus-author-id7005512531
person.identifier.scopus-author-id16641145400
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication214fa21c-bca0-4769-99b0-5f1239d2ea41
relation.isAuthorOfPublicationc9e068b1-f2c6-40fd-bc55-82d15b822822
relation.isAuthorOfPublicationa850a3bb-e2aa-47a0-bafb-875751468a45
relation.isAuthorOfPublication52e9a141-27bb-4460-ae37-caf8dba61b95
relation.isAuthorOfPublicatione5d97897-217d-4da0-8272-6ba7b7cf10dc
relation.isAuthorOfPublication.latestForDiscoverye5d97897-217d-4da0-8272-6ba7b7cf10dc
relation.isProjectOfPublication10a8eef4-c984-4cc5-a05f-1c5ceb266196
relation.isProjectOfPublicationfe862f22-888e-451b-aa72-e6c78b9f3a0e
relation.isProjectOfPublication34b32783-ca8b-46d6-b36c-0bd5d08123a4
relation.isProjectOfPublication.latestForDiscovery10a8eef4-c984-4cc5-a05f-1c5ceb266196

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
On lattices_ACarvalho.pdf
Size:
2.61 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ISEL - Matemática - Artigos