This paper addresses the implications of the well-known ceteris paribus postulate for spatial–economic equilibrium analysis under conditions of complex (non-linear dynamic) interactions in open systems. Under ever changing (e.g., evolutionary) conditions, there is a need for adjusting the standard tools in spatial– economic analysis, with more emphasis on evolutionary algorithms and computer si...

a r t i c l e i n f o JEL codes: C61 C71 C72 O13 O21 Keywords: Biofuel Supply chain Land use Spatial market equilibrium MPEC The rapid expansion of the biofuel industry diverts a large amount of agricultural crops as energy feedstocks, and in turn affects farm land allocation, feedstock market equilibrium, and agricultural economic development in local areas. In this paper, we propose game-theo...

As a canonical model for wetting far from thermal equilibrium we study a Kardar-Parisi-Zhang interface growing on top of a hard-core substrate. Depending on the average growth velocity the model exhibits a non-equilibrium wetting transition which is characterized by an additional surface critical exponent θ. Simulating the single-step model in one spatial dimension we provide accurate numerical...

We develop a quantitative spatial model that incorporates a rich geography of trade costs and labor mobility with heterogeneous worker preferences across locations. We provide comparative statics for the unique equilibrium with respect to the primitives of the model. We show how the model can be used to undertake counterfactuals using only data in an initial equilibrium. In these counterfactual...

in this study a simple and general chemical association theory is introduced. the concept of infinite equilibrium model is re-examined and true mole fractions of associated species are calculated. the theory is applied to derive the distribution function of associated species. as a severe test the application of presented theory to the van der waals mixture model is introduced in order to perfo...

We describe competition over space between a competitive shipping industry (truck-barge) and one with market power (the railroad). The latter prices so as to "beat the competition" in equilibrium, or else at the monopoly price, if that is lower. The monopoly price rises more slowly than do the costs of transportation (freight absorption) if the spatial demand at each point is log-concave. With ...

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...