Noncooperative oligopoly in markets with a continuum of traders and a strongly connected set of commodities

• 成果类型: Article
• 署名作者: Busetto, Francesca; Codognato, Giulio; Ghosal, Sayantan; Julien, Ludovic; Tonin, Simone
• 署名单位: University of Udine; University of Glasgow; Durham University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2017.01.013
• 发表日期: 2018
• 页码: 478-485
• 关键词: Shapley window model; atoms; Atomless part; Cournot Nash equilibrium

摘要

We show the existence of a Cournot Nash equilibrium for a mixed version of the Shapley window model, where large traders are represented as atoms and small traders are represented by an atomless part. Previous existence theorems for the Shapley window model, provided by Sahi and Yao (1989) in the case of economies with a finite number of traders and by Busetto et al. (2011) in the case of mixed exchange economies, are essentially based on the assumption that there are at least two atoms with strictly positive endowments and indifference curves contained in the strict interior of the commodity space. Our result does not require this restriction. It relies on the characteristics of the atomless part of the economy and exploits the fact that traders belonging to the atomless part have an endogenous Walrasian behavior. (C) 2017 Elsevier Inc. All rights reserved.