Nash and Walras equilibrium via brouwer
Nash and Walras equilibrium via brouwer
复制标题
DOI：
10.1007/s001990000076
复制
发表时间：
2003-03-01
期刊：
影响因子：
1.3
通讯作者：
Geanakoplos, J
中科院分区：
文献类型：
--
作者：
Geanakoplos, J
利用Brouwer不动点定理证明了Nash均衡和Walras均衡的存在性，而不依赖于Kakutani不动点定理。瓦尔拉斯不动点映射的域仅限于价格单形，即使有生产和弱拟凸偏好。关键思想是用“满意的改进”取代优化，即，用“满意原则”取代“最大原则”。
The existence of Nash and Walras equilibrium is proved via Brouwer's Fixed Point Theorem, without recourse to Kakutani's Fixed Point Theorem for correspondences. The domain of the Walras fixed point map is confined to the price simplex, even when there is production and weakly quasi-convex preferences. The key idea is to replace optimization with "satisficing improvement," i.e., to replace the Maximum Principle with the "Satisficing Principle".