Title
Hölderian continuity of solutions of a dynamic Walrasian price equilibrium problem with application
Abstract
This paper considers a qualitative analysis of the solution of a pure exchange general economic equilibrium problem regulated by Walras' law in the dynamic parametric case. The equilibrium conditions that describe this pure exchange economic model are expressed in terms of a time-dependent parametric variational inequality for which a Holderian type stability of the solutions have been proved. For this model, we have also focused our attention on a numerical application with the parameter @n=(@m,@l), where @m represents the variation of the average annual inflation rate and @l represents the variation of the vat share, both considered in Italy in the year 2008. For this numerical example it has been proved the existence of the solutions of the evolutionary parametric variational inequality that describes the equilibrium conditions by means of the direct method and by using MATLAB computation, after a linear interpolation, the curves of equilibria have been visualized.
Year
DOI
Venue
2011
10.1016/j.camwa.2011.02.008
Computers & Mathematics with Applications
Keywords
Field
DocType
economic model,holderian type stability,equilibrium condition,time-dependent parametric variational inequality,general economic equilibrium problem,dynamic parametric case,parametric variational inequality,dynamic walrasian price equilibrium,numerical application,walras’ law,numerical example,evolutionary parametric variational inequality,lderian continuity,pure exchange,parametric sensitivity analysis,hölderian type stability,walras law,qualitative analysis,direct method,sensitivity analysis,variational inequality,linear interpolation
Direct method,Mathematical optimization,Mathematical economics,Economic model,Mathematical analysis,Walras' law,Parametric statistics,Linear interpolation,Mathematics,Economic equilibrium,Inflation,Variational inequality
Journal
Volume
Issue
ISSN
61
7
Computers and Mathematics with Applications
Citations 
PageRank 
References 
0
0.34
7
Authors
1
Name
Order
Citations
PageRank
F. Scaramuzzino100.34