Abstract: Based on the single stage leasing problem,we present the multistage leasing problem (MLP) in the paper. The techniques to solve the off-line MLP are firstly discussed,and then the equal interval leasing strategy(EILS) for the on-line MLP is also proposed We prove that the EILS is the unique optimum leasing strategy for MLP. Moreover,we analyze some desired properties for risk leasing strategy,which can be used as a base to construct risk-reward model for the MLP. The results in this paper are helpful for enriching the researches on the online leasing problem.

Key words: online algorithm, leasing problem, competitive strategy, risk analysis