This paper demonstrates the quantization of a spatial Cournot duopoly model with product choice, a two stage game focusing on non-cooperation in locations and quantities. With quantization, the players can access a continuous set of strategies, using continuous variable quantum mechanical approach. The presence of quantum entanglement in the initial state identifies a quantity equilibrium for e...

We study a spatial model of party formation in which the set of agendas is the unit circle. We characterize the sets of pure-strategy Nash equilibria under the plurality and proportional rules. In both rules, multiple configurations of parties are possible in Nash equilibrium. We refine our predictions using a new notion called “defection-proof” Nash equilibrium. Under the plurality rule, only ...

We present a simple Fokker-Planck model for the evolution of the number of atoms and the spatial distribution in a CO2 laser trap which is loaded from a magneto-optical trap ~MOT!. Deep CO2 laser traps can achieve very high densities, but reach equilibrium slowly compared to shallow traps. Equilibrium times range from milliseconds for shallow traps to seconds in traps which are deep compared to...

In this paper, we develop a dynamic network model of ecological food webs and prove that the set of stationary points of the projected dynamical system coincides with the set of solutions of a variational inequality governing the equilibrium of predatorprey networks. We also establish the equivalence between the ecological models and supply chain network equilibrium models and highlight the con...

In this paper we present a spatial equilibrium model where search frictions hinder the immediate reallocation of workers both within and across local labour markets. Because of the frictions, firms and workers find themselves in bilateral monopoly positions when determining wages. Although workers are not at each instant perfectly mobile across cities, in the baseline model we assume that worke...

this study was conducted to investigate the spatial variability of model parameters of soil shrinkage curve in cherlgerd district, chaharmahal-va-bakhtiari province. ninety nine locations were selected and soil clods were collected from the 0-10 cm layer and brought to the laboratory. soil shrinkage curve was measured, according to archimedes's principle, by covering the undisturbed clods ...

Many attribute the rise in obesity since the early 1980s to the overconsumption of fast food. A dynamic model of a differentiated-product industry equilibrium shows that a firm with market power will price below marginal cost in a steady-state equilibrium. A spatial hedonic pricing model is used to test whether fast food firms set prices in order to exploit their inherent addictiveness. The res...