Abstract:"Boxed-pigs game",a game of fighting over food between two pigs,is a famous case of Nash equilibrium.To enhance the motivation of two pigs,an improved scheme based on the analysis of the shortcomings of the game was raised,which used incremental program or reduction plus shift program.Trademark counterfeiting is a common phenomenon,and it is difficult to eliminate it completely either in theoretical or in realistic perspective.However,Trademark counterfeiting can be limited as much as possible by using the incremental program and reduction plus shift program in "boxed-pigs game".In that case,the interests of trademark owners and consumers can be protected well.