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The Substitution Theorem in Urban Consumer Theory
Authors:Turnbull Geoffrey K
Abstract:This paper presents two nonparametric approaches to urban household location theory. For each model two sets of own price substitution theorems are presented, one for goods whose prices vary spatially and one for goods whose prices do not vary spatially in the market area. The usual substitution theorem derived in nonspatial demand theory is seen to hold for goods whose prices do not vary spatially. Goods whose prices vary spatially, however, reveal a significant departure from standard demand theory in that the substitution theorem is shown to hold unambiguously only for "parallel" shifts in spatial price surfaces. Further, the results are robust, extending to consumers in nonmonocentric urban areas, regardless of consumer tastes for travel distance or labor/leisure choice complications.
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