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考虑到企业产品差异性、企业的私有化程度、外国资金的渗透等因素,研究了伯川德竞争情形下私有化程度、外资渗透与社会福利之间的关系以及私有化程度、外资渗透对混合双寡头市场的影响。首先建立混合双寡头的伯川德竞争模型,得出伯川德均衡解,然后在社会福利最大化下分产品为替代产品和互补产品两种情形分别得出了最优私有化程度的解,进而分析了外资渗透(或国内控股)对私有化程度与混合双寡头市场的影响。研究表明,生产替代性产品的企业进行价格竞争时,部分私有化企业为纯公共企业时社会福利达到最大,企业国内控股比例的增加将增大最优社会福利;生产互补性产品的企业在价格竞争下,实行国有企业公司制股份制改革时社会福利达到最大,并且国内控股比例的增加将降低最佳私有化程度,社会福利最大化下政府要鼓励产品多样化和减少国外资金的渗透。从整个社会和企业角度看,国有企业股份制改革策略为最佳策略。
Taking into account the differences of enterprise products, the degree of privatization of enterprises, the infiltration of foreign funds and other factors, this paper studies the degree of privatization, foreign investment infiltration and social welfare and the degree of privatization under the Berthold competition, Duopoly market impact. First of all, we establish Bertrand competition model of mixed duopoly and come to Bertrand equilibrium solution, and then obtain the optimal privatization solution for each product under the social welfare maximization under both the substitute products and the complementary products. Then it analyzes the impact of foreign infiltration (or domestic holding) on the degree of privatization and the mixed duopoly market. The research shows that when the privatization enterprises are purely public enterprises, the social welfare reaches the maximum when the enterprises that produce alternative products compete for the price. The increase of the proportion of domestic enterprises will increase the optimal social welfare; Under the competition, the social welfare will be maximized during the reform of the shareholding system of the state-owned enterprises and the increase of the domestic holding ratio will reduce the degree of privatization. Under the social welfare maximization, the government should encourage the diversification of products and reduce the infiltration of foreign capital. From the perspective of society as a whole and enterprises, the strategy of joint-stock reform in state-owned enterprises is the best strategy.