Reduced game and converse consistency

• 成果类型: Article
• 署名作者: Chang, Chih; Hu, Chcng-Cheng
• 署名单位: Southern Taiwan University of Science & Technology; National Tsing Hua University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2006.08.002
• 发表日期: 2007
• 页码: 260-278
• 关键词: Shapley value; prenucleolus; EANSC value; Reduced game; Consistency; bilateral consistency; Converse consistency

摘要

The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions. (c) 2006 Elsevier Inc. All rights reserved.