Solutions of multivariate Rational Expectations Models
研究了多元理性预期模型的路径求解方法，包括伴随算子法和史密斯形式，并推导了解集的维度（以鞅差表示）以及线性情形下线性平稳解集的维度。
The aim of this paper is the study of the path solutions of a multivariate rational expectations model. We describe several procedures for solving such dynamic systems based on either the adjoint operator method or the Smith form. As a by-product, we derive the dimension of the set of solutions in terms of martingale differences and the dimension of the set of linear stationary solutions when we restrict ourselves to the linear case. These dimensions are functions of the number of equations in the system, of the maximum lead, and of the orders of some eigenvalues of the characteristic equation associated with the system.