Ambiguous Information Of Asset And Optimal Stopping Time

We discuss how to model asset's multiple priors problem when having am-biguous information.Because of the incomplete information about future,the decision maker will use a family of priors to solve asset question.Incomplete information about volatility caused by risk,increasement or decreasement of return and bad or good signal can use the multiple priors model.When facing asset portfolio,one asset's ambiguous information may create others asset's ambiguous information.We use catching balls from can to simulate asset.The knowledge of the structure of can corresponds to the knowledge of asset information.Because of the uncertainty of information,we use structure interval to model can and model asset's multiple priors.Based on multiple priors model,we extend the mean and variance analysis of asset portfolio.We discuss the multiple priors model's effect to asset port-folio when there are three assets.One of our most important enlightenment is:the existent of multiple priors model let the asset portfolio jump from one function relationship to another one.And we give the boundary condition for jumping.Based on optimal stopping time under multiple priors,we discuss it under discrete and continuous time.Based on multiple priors of continuous time,we give the solution of opti-mal stopping time and its existent proof.