A dynamic von Thünen model with a demand function

This paper examines the dynamic processes of agricultural land use in the context of the von Thünen model. Consumers purchase agricultural goods to maximize their utility levels; farmers plant agricultural goods only once in a year and they decide their land use according to the last year's prices. In this context, it is first shown that land use is generally unstable for a broad class of utility functions, although the equilibrium land use is achieved in a very specific case. Second, it is shown that under a certain condition, land use changes cyclically with 2-year intervals.