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LEONTIEF TECHNOLOGY AND THE LOCATION OF THE FIRM IN A WEBER TRIANGLE–SPECIFIC LOCALIZATION THEOREMS*
Authors:Sho-Ichiro Kusumoto
Abstract:In special cases of the Leontief technology's constant input-output coefficients, the general localization theorem that an interior location is a global optimum if every input or market vertex is not a local optimum Kusumoto (1984)] is confirmed and strengthened. Sufficient conditions are proposed for the portion of a triangular space in which the firm will locate. Finally, it is shown that, if input substitution is permitted and its effects dominate spatial effects, the firm's total cost function will be monotone, as well as concave, hence the vertex is a global optimum if it is a local optimum.
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