有关“霍尔姆斯特罗姆定理”的问题

The Issue about the "Holmstrom Theorem"

霍尔姆斯特罗姆定理断言,在团队生产中不存在分享规则能够使团队生产同时达到帕累托效率和纳什均衡,并且使团队成员所获收入之和恰好等于该团队的产出。但是霍尔姆斯特罗姆对该定理的证明犯了数学运算上的错误。这样,一般性的霍尔姆斯特罗姆定理是不成立的。实际莱格罗斯和马修斯已证明了,附加了某些限制条件后,霍尔姆斯特罗姆定理才能够成立,在什么样的情况下霍尔姆斯特罗姆定理肯定不成立。

Holmstrom theorem asserts that,if there is no rule of sharing in team production,it can achieve Pareto efficiency and Nash equilibrium at the same time and make the total income of team members be precisely equivalent to the output of the team.However,Holmstrom made a mathematical error on the proof of the theorem.In this way,the general Holmstrom theorem does not apply.Legros and Mathews have proved with which limiting conditions can Holmstrom theorem apply and in what circumstances can Holmstrom theorem definitely not apply.