电力市场竞价机制设计是目前电力市场改革中亟待解决的重要问题。文中针对有多个发电商和多个客户参加的电力市场竞价，设计出一个激励相容的双边拍卖机制。此机制在描述电力市场竞价规则的基础上，设计出符合电力市场特点的出清和交易规则。该机制不仅能保证电力市场实时出清，实现电力的经济调度和有效分配，而且能诱导风险规避的发电商申报真实的边际成本和用户披露真实的用电价值信息。最后，通过算例及其实现方法证实了该机制的有效性和实用性。

This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate, but it is not sure to be effective.The paper finds an effective upper bound of subjective trade-off rate, which is the KuhnTucker multiplier of some mathematical programming. For the subjective trade-off rate not being larger than the upper bound, the solving method and properties of the optimal solution corresponding the trade-off rate are discussed. The paper lastly develops the process of solving multiobjective decision-making with the subjective trade-off rate mcthod.

The Dempster-Shafer theory of evidence is one of the most widely used frameworks for uncertainty inference. According to Shafer [11], there are two methods for assessing statistical evidence. The first method is to construct belief functions based on physically independent observations and then calculate the orthogonal sum by using Dempster's rule of combination. The second method is that the observations may be treated as a compound observation and a belief function can then be directly constructed by using product chance density. It is well known that the calculation of the Dempster's rule of combination is exponential in nature whilst using the product probability density function could simplify the calculation. It would therefore be of great interest to investigate consistence between the two methods, which is indeed the theme of this paper. Both sufficient and necessary conditions for such consistence will be developed in this paper. In addition, we will investigate the grouping consistence of observations that do not satisfy the consistence conditions, and also discuss the geometric meanings of the consistence and grouping consistence.