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In this paper, the authors investigate dynamic price competition when firms strategically interact in two distinct but interrelated markets: a primary market and an aftermarket, where indirect network effects arise. They set up a differential game of two-dimensional price competition and they conclude that the absence of price competition in the aftermarket (competition in the market) fosters dynamic price competition in the primary market (competition for the market). They also investigate the impact of network sizes on firms' prices in the primary market concluding that, in equilibrium, larger firms have incentives to compete more fiercely for new "Uncolonized" consumers.
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