Dynamic spatial price equilibrium problem: regularity results and computational procedure

Formulation and Analysis of a Dynamic Spatial Price Equilibrium Model

The spatial price equilibrium model begins with the Hitchcock-Koopmans transportation problem as described by Dantzig (1963). The data for this model includes a set of suppliers I and a set of markets J , with supplies ai, demands bj, transport costs cij from supplier i to market j. Cast as a planning problem, this linear program seeks a transport schedule which minimizes the cost of supplying ...

Spatial Price Equilibrium

Sensitivity analysis for time dependent spatial price equilibrium problem

We present some sensitivity results for the spatial price equilibrium problem in the case of quantity formulation model and in presence of excess supply and excess demand. The equilibrium conditions that describe the above model are expressed in terms of a time dependent variational inequality. The variational inequality formulation plays a fundamental role in order to achieve the sensitivity r...

Dynamic Positive Equilibrium Problem

The Dynamic Positive Equilibrium Problem (DPEP) is a methodology for dealing with time series about economic agents’ decisions, regardless of the amount of available information. The approach is articulated in three phases, as in the static counterpart Symmetric Positive Equilibrium Problem (SPEP), with the variant that it must be preceded by the estimation of the equation of motion which chara...

Implementation of the Barrier Method to the Variational Inequality (VI) Parking Spatial Price Equilibrium Problem