A characterization and some properties of the Banzhaf-Coleman-Dubey-Shapley sensitivity index

• 成果类型: Article
• 署名作者: Barua, R; Chakravarty, SR; Roy, S; Sarkar, P
• 署名单位: Indian Statistical Institute; Indian Statistical Institute Kolkata; Indian Statistical Institute; Indian Statistical Institute Kolkata; Indian Statistical Institute; Indian Statistical Institute Kolkata
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2003.12.003
• 发表日期: 2004
• 页码: 31-48
• 关键词: voting game; the Banzhaf-Coleman-Dubey-Shapley sensitivity index; characterization; bounds

摘要

A sensitivity index quantifies the degree of smoothness with which it responds to fluctuations in the wishes of the members of a voting body. This paper characterizes the Banzhaf-Coleman-Dubey-Shapley sensitivity index using a set of independent axioms. Bounds on the index for a very general class of games are also derived. (C) 2004 Elsevier Inc. All rights reserved.