Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-20T07:16:57.783Z Has data issue: false hasContentIssue false

The multiproduct monopolist under vertical differentiation: An inductive approach

Published online by Cambridge University Press:  17 August 2016

Luca Lambertini*
Affiliation:
Dipartimento di Scienze Economiche, Università degli Studi di Bologna
Get access

Summary

An inductive procedure is adopted to evaluate the behaviour of a multiproduct profit seeking monopolist vis à vis that of a social planner, in a model where there is a continuum of consumers characterized by different marginal willingness to pay for quality. When the market is completely covered, the monopolist undersupplies all qualities as long as their number is finite. When quality becomes continuous, the richest consumer is provided with the socially optimal quality. Under the alternative assumption of partial market coverage, the monopolist supplies the same qualities as the social planner, restricting though total output. Finally, it turns out that, for a given number of varieties, under partial market coverage the monopolist can make at least as good as under full market coverage, so that she prefers to distort quantity rather than quality.

Résumé

Résumé

Dans un modèle avec un continuum de consommateurs caractérisé par leu dispositions a payer pour la qualité, une procédure inductive est adoptée afin de comparer le comportement d'un monopoleur multiproduit qui cherche a maximiser sont profit et celui d'un planificareur social. Quand le marché est complètement couvert, et tant que leur nombre de qualités est fini, le monopoleur offre toutes les qualités mais en quatité inférieur à celles requises par l'optimum social. Dans le cas où il y a un continu de qualités, le consommateur le plus riche achète la qualité socialement optimale. Si le marché n'est que partiellement couvert, bien que l'output soit sous-optimal, le monopoleur vend les mêmes qualités que celles du planificateur social. Finalement, si le marché ne sont que partiellement couvet, pour un nombre donné de variétés le monopoleur peut faire au moins aussi bien que si le marché est totalement couvert; ce dernier, afin de maximiser son profit, préférera jouer sur les quantités plutôt que sur les qualités.

Keywords

Type
Research Article
Copyright
Copyright © Université catholique de Louvain, Institut de recherches économiques et sociales 1997 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

(*)

This paper draws on the first chapter of my DPhil dissertation at Linacre College, Oxford. I would like to thank Guido Candela, Norman Ireland, Paul Klemperer, Martin Slater and an anonymous referee for helpful comments and suggestions on a previous draft. The usual disclaimer obviously applies.

References

REFERENCES

Bonanno, G. [1987], Location choice, product proliferation and entry deterrence, Review of Economic Studies, 54(1), pp. 3746.Google Scholar
Besanko, D., Donnenfeld, S. and White, L. [1987], Monopoly and quality distortion: Effects and remedies, Quarterly Journal of Economics, 102(4), pp. 743768.Google Scholar
Champsaur, P. and Rochet, J.-C. [1989], Multiproduct duopolists, Econometrica, 57(3), pp. 533557.Google Scholar
Cremer, H. and Thisse, J.-F. [1994], Commodity taxation in a differentiated oligopoly, International Economic Review, 35(3), pp. 613–33.Google Scholar
Gabszewicz, J.J., Shared, A., Sutton, J. and Thisse, J.-F. [1986], Segmenting the market: The monopolist optimal product mix, Journal of Economic Theory, 39(2), pp. 273289.Google Scholar
Itoh, M. [1983], Monopoly, product differentiation and economic welfare, Journal of Economic Theory, 31(1), pp. 88104.Google Scholar
Lambertini, L. [1995], A note on spatial monopoly, Rivista Internazionale di Scienze Economiche e Commerciali, 42(6), pp. 517522.Google Scholar
Maskin, E. and Riley, J. [1984], Monopoly with incomplete information, Rand Journal of Economies, 15(2), pp. 171196.Google Scholar
Moorthy, K.S. [1988], Product and price competition in a duopoly, Marketing Science, 7, pp. 141–68.Google Scholar
Mussa, M. and Rosen, S. [1978], Monopoly and product quality, Journal of Economic Theory, 18(2), pp. 301317.Google Scholar
Shared, A. and Sutton, J. [1983], Natural oligopolies, Econometrica, 51(6), pp. 14691484.Google Scholar
Sheshinsri, E. [1976], Price, quality and quantity regulation in monopoly, Econometrica, 43(1), pp. 127137.Google Scholar
Spence, M. [1975], Monopoly, quality and regulation, Bell Journal of Economics, 6,(4), pp. 417429.Google Scholar
Spence, M. [1976], Product differentiation and welfare, American Economic Review, 66(2), pp. 407414.Google Scholar
Tirole, J. [1988], The Theory of Industrial Organization, Cambridge (Mass.), MIT Press.Google Scholar