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Global bifurcation mechanism and local stability of identical and equidistant regions: application to three regions and more

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dc.contributor.authorGaspar, José M.
dc.contributor.authorIkeda, Kiyohiro
dc.contributor.authorOnda, Mikihasa
dc.date.accessioned2021-01-15T09:38:02Z
dc.date.available2021-01-15T09:38:02Z
dc.date.issued2020
dc.description.abstractWe provide an analytical description of possible spatial patterns in economic geography models with three identical and equidistant regions by adapting results from General Bifurcation mechanism. We then use Pflüger's (2004, Reg Sci Urb Econ) model to show analytically how such spatial patterns can be uncovered. As the freeness of trade increases, a uniform distribution undergoes a direct bifurcation that leads to either (1) a state with two identical small regions and one large region or (2) a state with two identical large regions and one small region. The former state leads to the agglomeration in a single region. The latter leads to a state with two evenly populated regions and one region with no industry, which further undergoes a secondary bifurcation, en route to a partial agglomeration with one small region and one large region. The stability of these states is investigated. We show that an asymmetric equilibrium such that all regions have different positive industry sizes cannot be connected with other types of equilibria. Therefore, an initially asymmetric state will remain so and preserve the ordering between region sizes. For the n-region model, we show that an equilibrium with more than three groups of identical regions cannot be reached from an interior state, thus precluding any completely asymmetric state with industry in all regions. We also provide insights on other economic geography models with three regions.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationGaspar, J. M., Ikeda, K., Onda, M. (2020). Global bifurcation mechanism and local stability of identical and equidistant regions: application to three regions and more. Regional Science and Urban Economics, 86, 103597pt_PT
dc.identifier.doi10.1016/j.regsciurbeco.2020.103597pt_PT
dc.identifier.issn0166-0462
dc.identifier.urihttp://hdl.handle.net/10400.14/31668
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCEECIND/02741/2017pt_PT
dc.relationCenter for Economics and Finance at the University of Porto
dc.relationResearch Center in Management and Economics
dc.subjectBifurcationpt_PT
dc.subjectEconomic geographypt_PT
dc.subjectMulti-regional economypt_PT
dc.subjectFootloose entrepreneurpt_PT
dc.titleGlobal bifurcation mechanism and local stability of identical and equidistant regions: application to three regions and morept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Economics and Finance at the University of Porto
oaire.awardTitleResearch Center in Management and Economics
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04105%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00731%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FEGE-ECO%2F30080%2F2017/PT
oaire.citation.titleRegional Science and Urban Economicspt_PT
oaire.citation.volume86pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream3599-PPCDT
person.familyNameGaspar
person.familyNameIkeda
person.givenNameJosé
person.givenNameKiyohiro
person.identifierF-7196-2015
person.identifier.ciencia-idDB16-ACFE-6CD5
person.identifier.orcid0000-0002-5443-3683
person.identifier.orcid0000-0002-0291-4346
person.identifier.ridF-7196-2015
person.identifier.scopus-author-id55886616500
person.identifier.scopus-author-id7404891398
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.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscovery7210e97b-cb81-42f2-b04e-5a16052e568c
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