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FOUR AND EIGHT COMMODITY ECONOMIC EQUILIBRIUM PROBLEMS WITH EXTENSIVE SUBSTITUTION POSSIBILITIES

机译：具有广泛替代可能性的四，八种商品经济平衡问题

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Economists generally agree that in the vast majority of cases as the price of a commodity increases, more of it will be produced or mined or made. Also, it follows that as the price of it decreases, less of the commodity will be supplied or manufactured. Some treatments of finding the equilibrium price for the commodity assume linear supply and demand equations with no substitutes available for them. However, in the real world of economics and big business there could be (and generally are) substitutes for almost all commodities and their supply and demand equations are nonlinear. This makes solving them with theoretical mathematics very difficult if all the commodity supply and demand equations are dealt with simultaneously in one large system. Therefore, here are presented two such examples of economic equilibrium equations (EEE) which are solved with multi stage Monte Carlo optimization (MSMCO).
机译：经济学家普遍认为，由于商品的价格增加，在绝大多数情况下，将制造或开采或制造更多的情况。此外，随着IT的价格降低，将提供或制造较少的商品。一些治疗商品的均衡价格的治疗假设线性供应和需求方程，没有替代品供应。然而，在经济学的现实世界和大型企业中，可能（通常是）几乎所有商品的替代品，他们的供需等方向是非线性的。这使得它们通过理论数学来解决它们，如果所有商品供应和需求方程都在一个大型系统中同时处理。因此，这里介绍了通过多级蒙特卡罗优化（MSMCO）解决的经济平衡方程（EEE）的两个这样的这样的示例。

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