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Publication Date:
August 2011
ISSN:
1935-1704
DOI:
10.2202/1935-1704.1800

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Ed. by Cervellati, Matteo / Fong, Yuk-fai / Peeters, Ronald / Puzzello , Daniela / Rivas, Javier / Schipper, Burkhard

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Multiproduct Duopoly with Vertical Differentiation

Yi-Ling Cheng1 / Shin-Kun Peng2 / Takatoshi Tabuchi3

1Tunghai University and Academia Sinica, ylcheng@thu.edu.tw

2Academia Sinica and National Taiwan University, speng@econ.sinica.edu.tw

3University of Tokyo, ttabuchi@e.u-tokyo.ac.jp

Citation Information: The B.E. Journal of Theoretical Economics. Volume 11, Issue 1, Pages –, ISSN (Online) 1935-1704, DOI: 10.2202/1935-1704.1800, August 2011

Publication History:
Published Online:
2011-08-09

This paper investigates a two-stage competition in a vertically differentiated industry, where each firm produces an arbitrary number of similar qualities and sells them to heterogeneous consumers. The number of products, qualities, prices, and the extent of the market coverage are endogenously determined. We show that when unit costs of quality improvement are increasing and quadratic, each firm has an incentive to provide a disconnected set of similar qualities approximating a continuum. The finding contrasts sharply with the single-quality outcome when the market coverage is exogenously determined. We also show that allowing for multiple qualities intensifies the level of competition, lowers the profit of each firm, and raises the consumer surplus and the social welfare in comparison to the single-quality duopoly.

Keywords: multiproduct firms; market segmentation; quality competition; continuum of qualities; vertical product differentiation

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