Hotelling’s Duopoly in a Two-Sided Platform Market on the Plane

Vladimir Mazalov and Elena Konovalchikova
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Vladimir Mazalov: Institute of Applied Mathematical Research, Karelian Research Center of the Russian Academy of Sciences, 11, Pushkinskaya str., 185910 Petrozavodsk, Russia
Elena Konovalchikova: Laboratory of Digital Technologies in Regional Development, Karelian Research Center of the Russian Academy of Sciences, 11, Pushkinskaya str., 185910 Petrozavodsk, Russia

Mathematics, 2020, vol. 8, issue 6, 1-16

Abstract: Equilibrium in a two-sided market represented by network platforms on the plane and heterogeneous agents is investigated. The advocated approach is based on the duopoly model which implies a continuum of agents of limited size on each side of the market and examines the agents’ heterogeneous utility with the Hotelling specification. The exact values were found for the equilibrium in the case of duopoly in a two-sided market with two platforms on the plane. The dependence of the platforms’ benefits on network externalities was investigated. The problem of the optimal location of platforms in the market was considered.

Keywords: two-sided platform market; pricing; Hotelling’s duopoly on the plane; Nash equilibrium; optimal location of platforms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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