Publication
Bertrand model under incomplete information
dc.contributor.author | Ferreira, Fernanda A. | |
dc.contributor.author | Pinto, Alberto A. | |
dc.date.accessioned | 2014-05-13T14:15:00Z | |
dc.date.available | 2014-05-13T14:15:00Z | |
dc.date.issued | 2008 | |
dc.description.abstract | We 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.sponsorship | Programs POCTl and POSl by FCT and Ministério da Ciência, Tecnologia e do Ensino Superior. ESEIG/IPP, Centro de Matemática da Universidade do Porto | por |
dc.description.sponsorship | This 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.doi | 10.1063/1.2990893 | |
dc.identifier.isbn | 978-0-7354-0576-9 | |
dc.identifier.uri | http://hdl.handle.net/10400.22/4359 | |
dc.language.iso | eng | por |
dc.peerreviewed | yes | por |
dc.publisher | AIP Publishing | por |
dc.relation.publisherversion | http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.2990893 | por |
dc.subject | Industrial organization | por |
dc.subject | Bertrand duopoly | por |
dc.subject | Uncertainty | por |
dc.subject | Bayesian-Nash equilibrium | por |
dc.title | Bertrand model under incomplete information | por |
dc.type | conference object | |
dspace.entity.type | Publication | |
oaire.citation.conferencePlace | Psalidi, Greece | por |
oaire.citation.startPage | 209 | por |
oaire.citation.title | Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2008 | por |
oaire.citation.volume | AIP Conference Proceedings, vol. 1048 | por |
person.familyName | Ferreira | |
person.givenName | Fernanda A. | |
person.identifier | R-000-4TV | |
person.identifier.ciencia-id | D116-9419-5778 | |
person.identifier.orcid | 0000-0002-1335-7821 | |
person.identifier.rid | N-4563-2013 | |
person.identifier.scopus-author-id | 24723992800 | |
rcaap.rights | openAccess | por |
rcaap.type | conferenceObject | por |
relation.isAuthorOfPublication | aaa18584-508e-46b1-9b50-4e174c0e142c | |
relation.isAuthorOfPublication.latestForDiscovery | aaa18584-508e-46b1-9b50-4e174c0e142c |