Star-shapedness of Richter-Aumann integral on a measure space with atoms: theory and economic applications

• 成果类型: Article
• 署名作者: D'Agata, A
• 署名单位: University of Catania
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2003.06.001
• 发表日期: 2005
• 页码: 108-128
• 关键词: existence of equilibrium; Non-cooperative games; imperfect competition; Richter Aumann integral

摘要

This paper provides sufficient (as well as necessary) conditions for the integral of a correspondence defined on a measure space with atoms to exhibit star-shaped values. This result is used to analyze the existence of a Nash equilibrium in games with a measure space of agents with atoms and of a competitive equilibrium in economies with mixed markets. In either case it is shown that an exact equilibrium exists whenever atoms are small enough. (C) 2003 Elsevier Inc. All rights reserved.