比较支付为零的其他纳什均衡,更优的 纳什均衡称为帕累托均衡(Pareto equilibrium)而且 特点是参与人不降低其他参与人支付就不能增加其支 付,这与经济学关于帕累托最优(Pareto optimality) 的定义一致。
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从博弈理论的角度来看,“激励相容”达到的是一个“纳什均衡”状态,这是达到帕累托最优的必要条件。
Seen from the perspective of game theory, "incentive compatibility" has reached the state of "Nash balance", the necessary condition to reach Pareto Optimality.
虽然这是有目共睹的今天每个瓦尔拉斯均衡是帕累托有效的,这是不知道到更复杂的证明在1936年制定了亚伯拉罕沃尔德和约翰冯诺依曼在1938年。
While it is known today that every Walras equilibrium is Pareto efficient, this was not known until more complex proofs were devised in 1936 by Abraham Waldand John von Neumannin 1938.
而种种均衡利益博弈的结果究竟是不是达到了帕累托最优状态,这也是我们在对产权拍卖机制进行设计时所要慎重考虑的重要前提之一。
But whether the results of all these equilibriums can come to Pareto Optimality or not are still one of the most important premises when we are designing the transaction system of property rights.
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