多连通拓扑和东方经济学的原理及其数学分析

摘要/Abstract

摘要：用类似偏爱关系和效用函数的公式，引入信任关系和影响函数以表示不同的家族、集团和组织系统的各种相互作用强度.由于它们可以影响系统中的产品、利润和价格等，并且常常独立于经济结果，因此这种系统可以制造出多连通拓扑经济学.当产量和这个影响是彼此独立时，它们能够形成结点或鞍点.当影响函数足够大，达到某个阈值时，它将形成一个导致资金流失的蛀洞.在回顾西方经济学的某些不足后，结合东方的思维体系，特别是老庄哲学，然后提出了东方经济学及其3个基本原理（阴阳五行生克原理，三才整体原理，多元循环原理），其主要特点是整体、平衡与和谐，其最高境界是天人合一原理，即自然-人-社会和谐原理.进而探讨了相应的数学理论及某些具体应用.东方经济学是一种非线性整体经济学，也是顾及各种因素的多连通拓扑经济学，这些考虑将有助于重构经济学.

关键词： 经济学, 拓扑学, 数学理论, 信任关系, 基本原理, 生克, 循环

Abstract: Using the similar formulas of the preference relation and the utility function,the author introduces the confidence relations and the corresponding influence functions that represent various interacting strengths of different families,cliques and systems of organization.Since they can affect products,profit,prices and so on in an economic system,and are usually independent of economic results,the system can produce a multiply connected topological economics.When the changes of the product and the influence are independent of one another,they may be a node or saddle point.When the influence function is large enough to achieve a certain threshold value,it will form a wormhole with loss of capital.Some shortages on the west economics are reviewed.Then combining with the east thinking-system,especially,Lao-Zhuang philosophy,the author proposes an east economics and its three principles:the common restraint or common promotion principle of the Yin-Yang and the Five-Elements,the whole principle of heaven-humanity-earth,and the cycle principle of some elements.Its major characteristics are entirety,balance and harmony.The highest aim is the principle of unified nature-human-society harmony.Further more,the author researches the corresponding mathematical theories and some concrete applications.The east economics is a nonlinear whole economics,and also a multiply connected topological economics related with various factors.These will redound to reconstruct of economics.

Key words: economics, topology, mathematical theory, confidence relation, basic principle, restraint-promotion, cycle

张一方. 多连通拓扑和东方经济学的原理及其数学分析[J]. journal6, 2010, 31(4): 59-66.

ZHANG Yi-Fang. Multiply Connected Topology and Basic Principles and Mathematical Analysis of East Economics[J]. journal6, 2010, 31(4): 59-66.

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