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Price competition, free entry, and welfare in congested markets

Authors
Journal
Games and Economic Behavior
0899-8256
Publisher
Elsevier
Volume
83
Identifiers
DOI: 10.1016/j.geb.2013.10.006
Keywords
  • Price Competition
  • Networks
  • Discrete Choice
  • Dynamic Programming
  • Welfare
  • Entry Decisions

Abstract

Abstract In this paper we study the problem of price competition and free entry in congested markets. In particular, we consider a network with multiple origins and a common destination node, where each link is owned by a firm that sets prices in order to maximize profits, whereas users want to minimize the total cost they face, which is given by the congestion cost plus the prices set by firms. In this environment, we introduce the notion of Markovian Traffic Equilibrium to establish the existence and uniqueness of a pure strategy price equilibrium, without assuming that the demand functions are concave nor imposing particular functional forms for the latency functions. We derive explicit conditions to guarantee existence and uniqueness of equilibria. Given this existence and uniqueness result, we apply our framework to study entry decisions and welfare, and establish that in congested markets with free entry, the number of firms exceeds the social optimum.

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