Applying Graph Theory to Some Problems of Economic Dynamics
This paper studies dynamic models of production and exchange on graph with consideration of transportation costs. Using graph and set of matrices, we introduce superlinear multivalued mappings which describe the exchange ratio in considered system. Effective trajectories of these models are studied....
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/7974381 |
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| _version_ | 1832566764173524992 |
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| author | S. I. Hamidov |
| author_facet | S. I. Hamidov |
| author_sort | S. I. Hamidov |
| collection | DOAJ |
| description | This paper studies dynamic models of production and exchange on graph with consideration of transportation costs. Using graph and set of matrices, we introduce superlinear multivalued mappings which describe the exchange ratio in considered system. Effective trajectories of these models are studied. It is shown that trajectories can be constructed using the simplest equilibrium type mechanisms. Characteristics of effective trajectories in Neumann type models are given. Conditions for the existence of equilibrium state of the considered model are found. |
| format | Article |
| id | doaj-art-72224b3527d643dd97fd8ca98b1ac5bb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-72224b3527d643dd97fd8ca98b1ac5bb2025-02-03T01:03:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/79743817974381Applying Graph Theory to Some Problems of Economic DynamicsS. I. Hamidov0Baku State University, 23 Academician Z.Khalilov St., Baku AZ1148, AzerbaijanThis paper studies dynamic models of production and exchange on graph with consideration of transportation costs. Using graph and set of matrices, we introduce superlinear multivalued mappings which describe the exchange ratio in considered system. Effective trajectories of these models are studied. It is shown that trajectories can be constructed using the simplest equilibrium type mechanisms. Characteristics of effective trajectories in Neumann type models are given. Conditions for the existence of equilibrium state of the considered model are found.http://dx.doi.org/10.1155/2019/7974381 |
| spellingShingle | S. I. Hamidov Applying Graph Theory to Some Problems of Economic Dynamics Discrete Dynamics in Nature and Society |
| title | Applying Graph Theory to Some Problems of Economic Dynamics |
| title_full | Applying Graph Theory to Some Problems of Economic Dynamics |
| title_fullStr | Applying Graph Theory to Some Problems of Economic Dynamics |
| title_full_unstemmed | Applying Graph Theory to Some Problems of Economic Dynamics |
| title_short | Applying Graph Theory to Some Problems of Economic Dynamics |
| title_sort | applying graph theory to some problems of economic dynamics |
| url | http://dx.doi.org/10.1155/2019/7974381 |
| work_keys_str_mv | AT sihamidov applyinggraphtheorytosomeproblemsofeconomicdynamics |