Abstract
The optimality of general equilibrium system has been founded on the assumption named the free disposal. But this assumption is rarely satisfied in the real world. Because the disposition of the waste which are discarded from production process and others must be charged their disposal cost. And once this assumption is not satisfied, we can no more assume the non-negative price system in the market. We have to introduce the negative prices into the competitive market system. (cf: Arrow, Debreu)
Then, the waste disposal problem must be combined with the valuation problem about the negative prices of the nuisance goods.
Moreover, waste disposal always has regional properties, and must be accumulation by bulky information in the national level.
These iterative processes induce the specific dual variables at regional level to the consistent valuation system of pollutant or waste treatment at national level. These are the “price system” in the shadow market, and found by the framing of the large-scale waste disposal planning