In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there e...In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there exists a subspace of nonnegative vectors Ωr such that if initial (input) product , then there is some natural number n0≥0 such that for n≥ n0, the n-th year’sproduct Xn has at least one negative component, which means that economic dislocation occurs.展开更多
文摘In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there exists a subspace of nonnegative vectors Ωr such that if initial (input) product , then there is some natural number n0≥0 such that for n≥ n0, the n-th year’sproduct Xn has at least one negative component, which means that economic dislocation occurs.
