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本文秉承瓦尔拉斯的“普遍的相互依赖性”研究原则,运用思想实验的理论研究方法,拟订一个探索性研究纲领,研究一种比亚当.斯密那只“看不见的手”更为普遍的经济秩序:看不见的手(市场力量)+看得见的左手(道德力量)+看得见的右手(政治力量),试图构造一种引力场方程,表述经济世界中市场力量、精神世界中道德力量、社会结构中政治力量构成的三极统一体的相互作用。首先,通过引入Smale的均衡流形概念统一处理市场均衡、人性均衡、社会均衡同时达成的整体的、统一的均衡状态;然后,建立一种正义空间概念范畴,而正义空间恰为一种引力空间,且是商品空间(拓扑空间)的推广;再运用Debreu的超额需求函数法,建构了一种市场.道德.政治三极世界四维空间的经济均衡规范场方程;最后,提出广义一般经济均衡机制统一处理“看不见的手”与“看得见的双手”之间的耦合问题,通过定义“看不见的手”为基本相互作用力,“看得见的右手”为强相互作用力,“看得见的左手”为弱相互作用力,这就形成了一种新的秩序。对这种秩序下的资源配置机制的数学表达式我们称其为四维流形的几何与拓扑,本文给出了这一猜想的一种数学证明。
This article upholds Walras’s “universal interdependence ” principle of research, the use of theoretical research methods of thought experiment, to develop an exploratory research program to study a kind of Adam Smith “invisible hand ”The more general economic order: the invisible hand (market power) + the visible left hand (moral force) + the visible right hand (political force), trying to construct a gravitational field equation that expresses the market in the economic world Strength, the moral force in the spiritual world, and the triumvirate of political forces in social structures. Firstly, by introducing Smale’s concept of equilibrium manifold, we can unify the equilibrium state of human nature and the equilibrium of human nature and social equilibrium, and then establish a concept category of just space, just as the space of gravity , And is generalization of commodity space (topological space). Then we use Debreu’s excess demand function method to construct an economic equilibrium gauge field equation in the market, ethical and political tri-polar world. Finally, we propose a generalized general economic equilibrium mechanism Uniform handling of coupling problems between Invisible Hands and Visible Hands defines the underlying interaction force by defining Invisible Hands as the visible right hand, “For strong interaction, ” visible left hand "weak interaction, which formed a new order. We call it the geometry and topology of a four-dimensional manifold for the mathematical expression of resource allocation mechanism under this kind of order. This article gives a mathematical proof of this conjecture.