Multiply Connected Topology  and Basic Principles and Mathematical Analysis of  East Economics

Abstract

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

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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Multiply Connected Topology and Basic Principles and Mathematical Analysis of East Economics

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