Feasible and equilibrium solutions to the closed Leontief models

Author

Pastravanu, Octavian ; Matcovschi, Mihaela-Hanako ; Voicu, Mihail

Author_Institution

Dept. of Autom. Control & Appl. Inf., Tech. Univ. “Gheorghe Asachi” of Iasi, Iasi, Romania

fYear

2013

fDate

11-13 Oct. 2013

Firstpage

398

Lastpage

403

Abstract

Our paper explores the solvability of the closed Leontief models, described by weak inequalities. We analyze the existence of two types of solutions defined for such models, namely feasible and, respectively equilibrium solutions. Our developments take into consideration the role of the following elements that characterize the model matrix: spectral radius, structure of communication classes and eigenstructure. Three different Leontief models are used as examples for illustrating the key points of our work.

Keywords

computability; economics; eigenvalues and eigenfunctions; matrix algebra; closed Leontief models; communication classes; eigenstructure; equilibrium solutions; model matrix; solvability; spectral radius; Adaptation models; Biological system modeling; Eigenvalues and eigenfunctions; Informatics; Linear matrix inequalities; Vectors; Xenon; closed Leontief model; communication classes; eigenstructure; equilibrium solution; feasible solution;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, Control and Computing (ICSTCC), 2013 17th International Conference

Conference_Location

Sinaia

Print_ISBN

978-1-4799-2227-7

Type

conf

DOI

10.1109/ICSTCC.2013.6688991

Filename

6688991