对偶理论在国家干预与市场调节相结合分析中的应用

An Application of Duality Theory in the Analysis of Combination of Nation Intervention and Market Regulation

本文首先建立了开放的国民经济系统的宏观产出模型和宏观资源消耗模型 ,然后运用对偶理论证明了宏观产出最大化与资源消耗最小化能够同时实现 ,并揭示出对应于产品市场、资金市场、劳动力市场和国际市场 ,政府的调控变量分别为产品税率、资金利率、劳动工资率和汇率与关税税率 ,最后通过K-T 条件将微观优化模型与宏观优化模型的解连接起来 ,给出了国家干预与市场调节的最佳结合形式。

In this paper, first set up the opened macro-output model and macro-resources consumption model, then apply the duality theory to prove the realization of macro-output maximum and resources consumption minimum at the same time, and promulgate that the government regulation variables are respectively the rate of product tax, the rate of capital interest, the rate of labor wage, exchange rate and tariff rate responding with the product market, capital market, labor-force market and international market, at last combine the micro model with the macro models through the K-T condition and give the optimum form of the combination of nation intervention and market regulation.