Abstract: The war of attrition in business enterprise competition was anyplace.How to choose the right attrition strategy is directly related to the business enterprise alive or dead.In this paper,the game method was applied.The attrition mathematics models were established.Long-lost time model and its balanced,long-lost time model being transfersed to continuous times model,complete information model and its balanced,incompletely balanced and its balanced were analyzed by system analysis.

Key words: business competition, war of attrition, balanced strategy