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Bertrand model under incomplete information

dc.contributor.authorFerreira, Fernanda A.
dc.contributor.authorPinto, Alberto A.
dc.date.accessioned2014-05-13T14:15:00Z
dc.date.available2014-05-13T14:15:00Z
dc.date.issued2008
dc.description.abstractWe consider a Bertrand duopoly model with unknown costs. The firms' aim is to choose the price of its product according to the well-known concept of Bayesian Nash equilibrium. The chooses are made simultaneously by both firms. In this paper, we suppose that each firm has two different technologies, and uses one of them according to a certain probability distribution. The use of either one or the other technology affects the unitary production cost. We show that this game has exactly one Bayesian Nash equilibrium. We analyse the advantages, for firms and for consumers, of using the technology with highest production cost versus the one with cheapest production cost. We prove that the expected profit of each firm increases with the variance of its production costs. We also show that the expected price of each good increases with both expected production costs, being the effect of the expected production costs of the rival dominated by the effect of the own expected production costs.por
dc.description.sponsorshipPrograms POCTl and POSl by FCT and Ministério da Ciência, Tecnologia e do Ensino Superior. ESEIG/IPP, Centro de Matemática da Universidade do Portopor
dc.description.sponsorshipThis research was partially supported by the Programs POCTl and POSl by FCT and Ministério da Ciência, Tecnologia e do Ensino Superior. F. A. Ferreira also thanks financial support from ESEIG/IPP and from Centro de Matemática da Universidade do Porto. A. A. Pinto acknowledges financial support from Centro de Matemática da Universidade do Minho.
dc.identifier.doi10.1063/1.2990893
dc.identifier.isbn978-0-7354-0576-9
dc.identifier.urihttp://hdl.handle.net/10400.22/4359
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherAIP Publishingpor
dc.relation.publisherversionhttp://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.2990893por
dc.subjectIndustrial organizationpor
dc.subjectBertrand duopolypor
dc.subjectUncertaintypor
dc.subjectBayesian-Nash equilibriumpor
dc.titleBertrand model under incomplete informationpor
dc.typeconference object
dspace.entity.typePublication
oaire.citation.conferencePlacePsalidi, Greecepor
oaire.citation.startPage209por
oaire.citation.titleProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2008por
oaire.citation.volumeAIP Conference Proceedings, vol. 1048por
person.familyNameFerreira
person.givenNameFernanda A.
person.identifierR-000-4TV
person.identifier.ciencia-idD116-9419-5778
person.identifier.orcid0000-0002-1335-7821
person.identifier.ridN-4563-2013
person.identifier.scopus-author-id24723992800
rcaap.rightsopenAccesspor
rcaap.typeconferenceObjectpor
relation.isAuthorOfPublicationaaa18584-508e-46b1-9b50-4e174c0e142c
relation.isAuthorOfPublication.latestForDiscoveryaaa18584-508e-46b1-9b50-4e174c0e142c

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