Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices

• 成果类型: Article
• 署名作者: Fujimoto, K; Kojadinovic, IK; Marichal, JL
• 署名单位: University of Luxembourg; Fukushima University; Nantes Universite
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2005.03.002
• 发表日期: 2006
• 页码: 72-99
• 关键词: Cooperative games; interaction among players; values and interaction indices

摘要

In the framework of cooperative game theory, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among players. Axiomatizations of two classes of interaction indices, namely probabilistic interaction indices and cardinal-probabilistic interaction indices, generalizing probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural generalizations of axioms involved in the axiomatizations of values. In the second half of the paper, existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized. (c) 2005 Elsevier Inc. All rights reserved.