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

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Abstract

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 1-Metzlerian case are also obtained.

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Authors and Affiliations

  1. Faculty of Informatics, Kansai University, Takatsuki Osaka, 569-11, Japan

    Takashi Shiomura

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  1. Takashi Shiomura
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Shiomura, T. On the Hicksian Laws of Comparative Statics for the Hicksian Case: the Path-Following Approach Using an Alternative Homotopy. Computational Economics 12, 25–33 (1998). https://doi.org/10.1023/A:1008602109014

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  • DOI: https://doi.org/10.1023/A:1008602109014

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