On the Hicksian Laws of Comparative Statics for the Hicksian Case: The Path-Following Approach Using an Alternative Homotopy.

The paper discusses an approach to comparative statics in the large by making use of a homotopy continuation method. This is based on the path-following approach presented by the author which is in turn due to the fixed-point algorithm explored by Garcia and Zangwill. We investigate from a global viewpoint the Hicksian laws of comparative statics for the Hicksian case which is a key to the first Hicksian law at least locally, and obtain the first Hicksian law in the large. Global results for the dominant diagonal case and the G[subscript 1]-Metzlerian case are also obtained. Citation Copyright 1998 by Kluwer Academic Publishers.