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Y. Tanaka, “Equivalance of Cournot and Bertrand Equilibria in Differentiated Duopoly under Relative Profit Maximization with Linear Demand,” Economics Bulletin, Vol. 33, No. 2, 2013, pp. 1479-1486.

has been cited by the following article:

• TITLE: Irrelevance of Conjectural Variation in a Private Duopoly with Consistent Conjectures: The Relative Performance Approach and Network Effects

  AUTHORS: Yasuhiko Nakamura

  KEYWORDS: Relative Profit Maximization; Conjectural Variation; Consistent Conjecture; Network Effects

  JOURNAL NAME: Modern Economy, Vol.4 No.9A, August 20, 2013

  ABSTRACT: This paper explores the equilibrium market outcomes in the contexts of both quantity-setting and price-setting private duopolies with the consistent conjectures of two private firms, wherein they maximize the weighted sum of their own profits and their respective opponent firm’s profit. Similar to the private duopoly without network effects wherein the two private firms maximize their genuine relative profits, in the private duopoly with network effects such that both firms maximize the weighted sum of their own profits and their respective opponent firm’s profit, we show that the equilibrium outcomes in the quantity-setting competition with the consistent conjectures of both firms are equivalent to those in the price-setting competition with the consistent conjectures of both firms.