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The index theorem for a GEI economy when the degree of incompleteness is even
Institution:1. Department of Nutrition, Exercise and Sports, University of Copenhagen, Copenhagen, Denmark;2. Danish Cancer Society Research Center, Copenhagen, Denmark;3. Department of Public Health, Aarhus University, Aarhus, Denmark;4. Aalborg University Hospital, Aalborg, Denmark;5. Department of Public Health, University of Copenhagen, Copenhagen, Denmark;1. Dept. of Electrical and Computer Engineering, Mississippi State University, Mississippi State, MS 39762, United States;2. Dept. of Civil and Environmental Engineering, Mississippi State University, Mississippi State, MS 39762, United States;3. Geosystems Research Institute, Mississippi State University, Starkville, MS 39759, United States
Abstract:The purpose of this paper is to present a method to compute the index in an incomplete market economy. We show that generically in endowments and the asset structure the index theorem holds when the deficiency of markets, S?J, is even. The result is based on the indices of homotopies which have been presented for computation of an equilibrium in incomplete market economies.
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