On the nonemptiness of the α-core of discontinuous games: Transferable and nontransferable utilities

• 成果类型: Article
• 署名作者: Uyanik, Metin
• 署名单位: Johns Hopkins University
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2015.04.005
• 发表日期: 2015
• 页码: 213-231
• 关键词: NTU alpha-core; TU alpha-core; discontinuous games

摘要

The nonemptiness of the alpha-core of games with continuous payoff functions was proved by Scarf (1971) for nontransferable utilities and by Zhao (1999) for transferable utilities. In this paper we present generalizations of their results to games with possibly discontinuous payoff functions. Our handling of discontinuity is based on Reny's (1999) better-reply-security concept. We present examples to show that our generalizations are nonvacuous. (C) 2015 Elsevier Inc. All rights reserved.