董事会集体决策优于主要经营者一人决策的数学论证

The Mathematical Proof of the Superiority of Collective Decision by Board of Directors to Individual Decision by Main Operator

公司董事会集体决策明显优于主要经营者一人决策,这不仅已被西方国家历时400年之久的公司制实践反复证明,而且也可用数学模型来分析论证。本文综合运用数学上的排列组合理论和古典概率理论,证明了公司经营决策的正确率,随着决策参加者人数的增加而相应提高。同时,考虑到董事人数增加导致公司代理成本增加,因而使公司绩效相应减少这一因素,再结合现代各国公司治理的经验,本文得出了董事会的合理规模应在10人左右的重要结论。本文还揭示了该问题的政治学意义。

The superiority of collective decision by board of directors to individual decision by main operator has been demonstrated repeatedly by the practice of corporate system in westem countries.In this article the writer will prove it by making use of the arranging-combinatorial theory and the classical probabilisitic theory.