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Deterministic Versus Random Utility: Implied Patterns of Vertical Product Differentiation in a Multi-Product Monopoly


Christiaan Behrens


VU University Amsterdam - Department of Economics

Mark Glenn Lijesen


VU University Amsterdam, Dept of Spatial Economics

Eric A. J. H. Pels


Vrije Universiteit - Department of Spatial Economic

Erik T. Verhoef


VU University Amsterdam - Department of Spatial Economics; VU University Amsterdam - Faculty of Economics and Business Administration; Tinbergen Institute - Tinbergen Institute Amsterdam (TIA)

March 12, 2012

Tinbergen Institute Discussion Paper No. 12-023/3

Abstract:     
In this article we study patterns of vertical product differentiation in a multi-product monopoly using a random utility model. Prior research shows that applying such a model in a multi-product setting implies symmetric patterns of product differentiation in which all product variants of a single firm have the same characteristics. Assuming that preferences differ across consumers and allowing for unobserved demand heterogeneity, we numerically show the existence of asymmetric, fully differentiated, patterns of vertical product differentiation in which the monopolist maximizes profits by setting prices and qualities. In particular, we show that the patterns of vertical product differentiation depend crucially on the level of unobserved demand heterogeneity and the observed dispersion of willingness to pay for quality. Only if unobserved demand heterogeneity is small relative to the observed dispersion, asymmetric, fully differentiated, equilibriums exist. Furthermore, we find in our model that the level of unobserved heterogeneity and the dispersion of willingness to pay for quality do not affect the relative welfare efficiency of the monopolist.

Number of Pages in PDF File: 40

Keywords: Vertical product differentiation, market segmentation, multi-product monopoly, random utility models

JEL Classification: D21, D42, L11, L12

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Date posted: March 14, 2012  

Suggested Citation

Behrens, Christiaan , Lijesen, Mark Glenn, Pels, Eric A. J. H. and Verhoef, Erik T., Deterministic Versus Random Utility: Implied Patterns of Vertical Product Differentiation in a Multi-Product Monopoly (March 12, 2012). Tinbergen Institute Discussion Paper No. 12-023/3. Available at SSRN: http://ssrn.com/abstract=2021081 or http://dx.doi.org/10.2139/ssrn.2021081

Contact Information

Christiaan Behrens (Contact Author)
VU University Amsterdam - Department of Economics ( email )
De Boelelaan 1105
1081 HV Amsterdam
Netherlands
Mark Glenn Lijesen
VU University Amsterdam, Dept of Spatial Economics ( email )
De Boelelaan 1105
1081HV Amsterdam
Netherlands
Eric A.J.H. Pels
Vrije Universiteit - Department of Spatial Economic ( email )
De Boelelaan 1105
1081HV Amsterdam
Netherlands
+31-20-4446049 (Phone)
+31-20-4446004 (Fax)
Erik T. Verhoef
VU University Amsterdam - Department of Spatial Economics ( email )
De Boelelaan 1105
1081HV Amsterdam
Netherlands
+31 020 4446094 (Phone)
+31 020 4446004 (Fax)
VU University Amsterdam - Faculty of Economics and Business Administration ( email )
De Boelelaan 1105
Amsterdam, 1081HV
Netherlands
Tinbergen Institute - Tinbergen Institute Amsterdam (TIA) ( email )
Gustav Mahlerplein 117
Amsterdam, 1082 MS
Netherlands
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