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Cournot and Bertrand Competition in a Model of Spatial Price Discrimination with Differentiated Products

Sun Chia-Hung ()
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Sun Chia-Hung: Department of Economics, Soochow University, No. 56, Kueiyang Street, Section 1, Taipei 100, Taiwan

The B.E. Journal of Theoretical Economics, 2014, vol. 14, issue 1, 251-272

Abstract: This study investigates spatial price discrimination with two types of market competition – price competition and quantity competition – and two kinds of cross-relations between goods – substitutes and complements – with endogenous location choices in a barbell model. The results herein present that the maximum differentiation (end point agglomeration) is the unique location equilibrium with substitutes (complements), irrespective of what type of competition. We demonstrate that if the unit transportation rate is sufficiently high, then consumer surplus, profits, and social welfare are higher under price competition than under quantity competition for both substitutes and complements. This means that introducing a spatial barrier to competition generated through transportation costs may solve the problem of inconsistency from the conflict interests between consumers, firms, and a social planner.

Keywords: spatial discrimination; Cournot competition; Bertrand competition; substitutes; complements (search for similar items in EconPapers)
JEL-codes: D43 L22 R32 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1515/bejte-2013-0001

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