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The amazing geometry of price competition with quality dependent production costs

dc.contributor.authorPires, Cesaltina Pacheco
dc.contributor.authorPinho, Joana
dc.contributor.authorJorge, Sílvia Ferreira
dc.contributor.authorCatalão-Lopes, Margarida
dc.date.accessioned2025-11-07T16:09:57Z
dc.date.available2025-11-07T16:09:57Z
dc.date.issued2022-11-01
dc.description.abstractThis paper provides a full characterization of price competition in a vertical differentiation model with quality dependent marginal production costs. For each vector of qualities, we determine the Nash equilibrium and show graphically the different market regions for different values of the lowest quality valuation parameter, which reveals an amazing geometry. Besides the classical cases of high-quality monopoly or duopoly with partial or full coverage, we show that, when the high-quality firm has a too high quality, the equilibrium is a low-quality monopoly. Moreover, for positive lowest quality valuation, there always exist interior and corner full coverage duopoly equilibria. On the contrary, partial coverage duopoly do not exist when the lowest consumers’ valuation of quality is high whereas high-quality monopoly are not possible for low values of lowest quality valuation. Our findings are the backbone of future analysis of quality choices and may be relevant for firms and policy makers.eng
dc.identifier.citationPires, C. P., Pinho, J., Jorge, S. F., & Catalão-Lopes, M. (2022). The amazing geometry of price competition with quality dependent production costs. SSRN. https://doi.org/10.2139/ssrn.4232585
dc.identifier.doi10.2139/ssrn.4232585
dc.identifier.other5e828bb8-5212-4602-9ef1-1073b83374ba
dc.identifier.urihttp://hdl.handle.net/10400.14/55557
dc.language.isoeng
dc.peerreviewedno
dc.publisherSSRN
dc.rights.uriN/A
dc.subjectMarket coverage configurations
dc.subjectQuality dependent marginal costs
dc.subjectQuality valuation dispersion
dc.subjectVertical differentiation
dc.titleThe amazing geometry of price competition with quality dependent production costseng
dc.typepreprint
dspace.entity.typePublication
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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