@article{oai:kansai-u.repo.nii.ac.jp:00016287,
 author = {Shiomura, Takashi},
 journal = {情報研究 : 関西大学総合情報学部紀要},
 month = {Dec},
 note = {The homotopy continuation method becomes a. powerful tool for comparative statics in the large. It is also, by its nature, to be used for showing the existence of zeroes of a map. In this paper, we first present some existence theorems concerning set-valued maps. These are obtained from a fundamental theorem on a homotopy continuation method and theorems on continuos selections. We then apply them to the Walrasian general equilibrium models and show the existence of equilibria. Subsequently, we consider a regular economy, and get some insights into the number of equilibria due to the homotopy invariance theorem and the norm-coerciveness theorem. Although these problems have been investigated by many economists, the homotopy continuation method clarifies in a clear and systematic manner why our results have been obtained.},
 pages = {61--77},
 title = {The Homotopy Continuation Method and the Walrasian General Equilibrium Theory},
 volume = {8},
 year = {1997}
}