Comparative statics in a simple class of strategic market games

• 成果类型: Article
• 署名作者: Amir, Rabah; Bloch, Francis
• 署名单位: Aix-Marseille Universite; University of Arizona; University of Warwick
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2007.09.002
• 发表日期: 2009
• 页码: 7-24
• 关键词: strategic market games; Two-sided markets; Bilateral oligopoly; Supermodularity and comparative statics; Market entry

摘要

This paper investigates the effects of entry in two-sided markets where buyers and sellers act strategically. Applying new tools from supermodular optimization/games, Sufficient conditions for different comparative statics results are obtained. While normality of one good is Sufficient for the equilibrium price to be increasing in the number of buyers, normality of both goods is required for equilibrium bids and sellers' equilibrium utilities to be increasing in the number of buyers. When the economy is replicated, normality of both goods and gross substitutes guarantee that the equilibrium of the strategic market game converges monotonically (in quantities) to the competitive equilibrium. Simple counter-examples are provided to settle other potential conjectures of interest. (C) 2007 Elsevier Inc. All rights reserved.