  Using the similar formulas of the preference relation and the utility
function, we propose 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 and
prices, etc., in an economic system, and are usually independent of economic
results, therefore, the system can produce a multiply connected topological
economics. If the political economy is an economy chaperoned polity, it will
produce consequentially a binary economy. When the changes of the product and
the influence are independent one another, they may be a node or saddle point.
When the influence function large enough achieves a certain threshold value, it
will form a wormhole with loss of capital. Various powers produce usually the
economic wormhole and various corruptions.
