冲突分析的状态转移法的收敛性

On the Convergence of the State Transition Approach in Confilct Analysis

冲突分析的状态转移法的收敛性黄有度（合肥工业大学数学系２３０００９）ＯｎｔｈｅＣｏｎｖｅｒｇｅｎｃｅｏｆｔｈｅＳｔａｔｅＴｒａｎｓｉｔｉｏｎＡｐｐｒｏａｃｈｉｎＣｏｎｆｉｌｃｔＡｎａｌｙｓｉｓＨｕａｎｇＹｏｕｄｕ（ＨｅｆｅｉＵｎｉｖｅｒｓｉｔｙｏｆｏ...

Abstract In this paper a sufficient and necessary condition for the convergence of a state transition model in conflict analysis is presented,it is that the transition matrix has no eigenvalue such as |λ|=1 but λ≠1.It is also pointed out that the eigenvalue |λ|=1 but λ≠1 always has from λ￣h=1,where h is a positive integer not larger than the dimension of the transition matrix.