| China's economic reforms have been 30 years old, with the rapid economic developments, the Chinese people's income levels have also been substantial improved. However, along with the Chinese people's overall income increased, the level of resident income gap is steadily increasing in the actual, especially in the industrial income gap issues about the China's natural monopoly industries and other industries. Although there has been achieved certain reform results in China's natural monopoly industries such as the electricity, telecommunications, railway transportations and other sectors, but the basic operating pattern of monopoly has not changed fundamentally, and the income gap is constantly expanding. Xinhua Net pointed out that: according to the National Bureau of Statistics data, compared to other industries, the average wages of workers in China's natural monopoly industries such as electricity, telecommunications, water and gas supplies are the two to three times, if taking into account other different incomes or benefits, the actual income gap in industries may be between 5-10 times. At present, according to a lot of domestic research papers, they focused on the main problem of income distributions from the perspective of empirical analysis about the factor of monopoly and the related high-income issues, and pointed out that the high-income issues of China's monopoly industries were related to the issues of administrative monopoly or natural monopoly. At the same time, because of the "absence of the owner" and "internal control" issues, the monopoly industries were more inclined to individuals in the income distributions. However, the theoretical frameworks about the issues of China's natural monopoly industries incomes are not as simple as they revealed above, because China's natural monopoly industries (including tobacco, salt and other unnatural monopoly industries) were invested and established by the Government from the beginning of their establishments, and operated in the strict regulatory institutions of entry and pricing regulations. So the study of the issues must be to re-examine under the conditions of the existing China's regulatory institutions. In this paper, the issues are decomposition of five parts: First, to describe the current situations about income issues in industries, and to put forward the concept of "added value of per wage unit" to determine workers reasonable incomes in China's natural monopoly industries; Second, to construct the index systems in multiple factors leading to the natural monopoly industries income issues under the conditions of government regulations in China, and use Principle Component Analysis (PCA) and Correlation Matrix Analysis (CMA) to measure the relationships of various factors, as well as the extent of contributions to the issues; Third, from the regulatory institutions (administrative monopoly institutions) supply and demand to analysis the main institutional reasons leading to the issues; Fourth, to introduce X-inefficiency theory to analysis the issues, and construct state-owned monopoly internal distributional objective functions; Fifth, to propose institutional policies recommendations to solute the issues. In the first part (Chapter 2), first of all, use the National Bureau of Statistics data in 1998-2005 about industrial incomes to describe current situations of the income gap in industries, to show that the average incomes of workers in China's natural monopoly industries are far more than other industries not only in terms of absolute quantity but also in a rising trend. Then put forward the concept of "added value of per wage unit" to measure whether the workers average incomes are reasonable in the natural monopoly industries in China. From the natural monopoly industries, select electricity, gas and water supply industries compared with the same industries in the United States and the United Kingdom, in accordance with China's National Bureau of Statistics data, find that the "added value of per wage unit" of China's electricity, gas and water supply industries are more than the same industries in the United States and the United Kingdom, but the National Bureau of Statistics data do not reflect the actual level of incomes about China's natural monopoly industries, in accordance with the National Bureau of Statistics public incomes data adjusted by 2-10 times, the "added value of per wage unit" gradually adjusted. The results will be found when the National Bureau of Statistics public incomes data adjusted to 2 times, the incomes of workers in the China's natural monopoly industries have already show unreasonable, such as "added value of per wage unit" are less than the United States and Britain in the same industries. When the National Bureau of Statistics public incomes data adjusted to 8 times, the "added value of per wage unit" is inclining to 1, it means that the created new value by labor employments in the China's natural monopoly industry is zero. When the National Bureau of Statistics public incomes data adjusted to 9 times more, the "added value of per wage unit" is less than 1, this means that the created new value by labor employments in the China's natural monopoly industry is less than their one unit wage paid. It also means some extent loss of state-owned assets. In the second part (Chapter 3), construct the index systems in multiple factors leading to the natural monopoly industries incomes issues under the conditions of government regulations in China, simplify the multi-factor indicators panel data of 2004, use Principle Component Analysis (PCA) and Correlation Matrix Analysis (CMA) to measure the relationships of various factors, as well as the extent of contributions to the issues. The representative indexes for the entry regulation of China, "the proportion of state-owned industrial assets" and "the concentration of industry" are the main factors leading to the issues of industrial incomes. At the same time, the characteristics of natural monopoly cost functions such as the huge initial investments, as well as lower marginal costs of production of multiple products resulting from the scale economy and scope economy are influential to some extent. The workers high-incomes in China's natural monopoly industries do not mean that they have higher stock of human capital than the workers in other industries, and it also may mean that the existence of industrial labor factor entry barriers. In the third part (Chapter 4), in summarizing the natural monopoly theories and the basic characteristics of dynamic changes in the natural monopoly industries, point out that with the demand and technical conditions changed, the China's regulatory policies and institutions are not adjusted as these changes substantively, and the regulatory institutions in "natural monopoly" name has now becoming into the "administrative monopoly" institutions substantially. And the administrative monopoly mechanisms caused China's natural monopoly industries incomes problem. In this part, based on the theory of regulatory institutions supply and demand created by Stigler, etc., amend the original economic regulation model, Principal-agent theory, as well as the assumptions, construct the administrative regulatory demand model by China's natural monopoly industries incumbent vendors, the administrative regulatory supply model by China's natural monopoly industries authorities (regulator), and the economic regulation objective function model. In the fourth part (Chapter 5), in summarizing the basic theories of X-inefficiency and applied researches, introduce the theories of X-inefficiency to analysis the issues of natural monopoly industries incomes, separate the real marginal cost curve and the potential marginal cost curve of the natural monopoly industries, separate the loss of resource allocation and the loss of productivity allocation, and hold a preliminary discussions on the measurements of X-inefficiency in natural monopoly industries. At the same time, discuss the internal distribution mechanisms of the incumbent vendors of China's natural monopoly, Construct the objective function model of the internal distribution of the natural monopoly industries incumbent operators. In the fifth part (Chapter 6), propose institutional policies recommendations to solute the issues of China's natural monopoly industries income, discuss the introductions of competition and diversification of ownerships of the China's natural monopoly industries and the reforms of the personnel management system of state-owned natural monopoly incumbent vendors. And point out if not correct the starting points and purposes of the deviation of the essence of the natural monopoly industries regulatory institutions, any sophisticated regulatory tools and technical designs will be a mere formality, and will not solve the essences of China's natural monopoly industries incomes issues.
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