随机区间收益金融市场的无强占优分析

Abstract

文章提出了具有随机区间收益的金融市场，在该市场中，证券价格被描述为区间值随机变量，并将研究的金融市场所在的概率空间框架从有限维拓展为一般概率空间，是传统随机市场的推广。在此模型中，提出了强占优策略和线性定价测度的概念，证明了市场无强占优与存在线性定价测度等价的定理，并且研究了随机区间收益市场无强占优与经典市场无占优的关系。该结论既包含经典随机金融市场的结论，又将金融分析推广到随机区间收益金融市场中。 In this article, a new financial market model, in which all securities have random interval pay- offs, is proposed. In the market, the probability space from finite dimensional expands general probability space. Some concepts, such as robust dominant strategy and linear pricing measures, are given and discussed parallel to those in traditional market analysis. With these new concepts, it is discussed that the requirement of no robust dominant strategy is equivalent to the existence of linear pricing measures and the relations between the analysis of the no robust dominant strategy in the market with random interval payoffs and it’s in traditional market. This conclusion includes the traditional random market analysis conclusions, extending to this new financial market.