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Banzhaf权力指标的特性 被引量:2

The Properties of the Banzhaf Power Index
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摘要 Banzhaf权力指标主要用来刻画政治选举中权力的分配问题.本文研究了Banzhaf权力指标的四条性质,它们分别为2人有效性,哑元性,等价性和边缘贡献性.并利用这四条性质刻画了Banzhaf权力指标的唯一性.最后通过一个实例说明了Banzhaf权力指标的应用. The Banzhaf power index measures the distribution of the power among the players in the voting system. In this paper we prove that the Banzhaf power index is a unique power index having the 2-efficiency, dummy player, equal treatment, and marginal contributions. Finally, we give an example to show the application of the Banzhaf power index.
作者 梁晓 孙浩
出处 《运筹与管理》 CSCD 北大核心 2009年第3期69-73,共5页 Operations Research and Management Science
基金 国家自然科学基金资助项目(70571065) 陕西省自然科学基金资助项目(2007A09)
关键词 简单对策 Banzhaf 权力指标 simple game banzhaf power index
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参考文献6

  • 1Andrzej Nowak S. On an axiomatization of the banzhaf value without the additivity axiom [ J]. International Journal of Game Theory, 1997, 26: 137-141.
  • 2Von Neumann. Morgenstern[ M]. Theory of Games and Economic Behavior, 1944.
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  • 4Banzhaf J F. Weighted voting doesn't work: a mathematical analysis[ J]. Rutgers Law Review, 1965, 19: 317-343.
  • 5Coleman J S. Control of collectivities and the power of a collectivity to act. In B. Liebermann( Ed. ) [ J]. Social choice( 1971 ) , 269-300. New York: Gordon and Breach.
  • 6Lehrer E. An axiomatization of the banzhaf value[ J]. Internat. J. Game Theory ( 1988), 17 : 89-99.

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