2021-10-17T18:30:34Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000128522021-03-01T11:16:57ZMulti-Terminal Graphs and Equilibrium Problem of Flows and TensionsNAKAMURA, YasukaThe notion of graph was generalized to make the abstract network theory applicable to economic networks, where multi-commodities are traded among productive sectors, intermediate sectors, and final demand sectors. The generalized graph, called the multi-terminal graph, has contributed to developing a new network theory, deriving that flows of multi-commodities correspond to electric currents in electric circuits. A well-known Leontief model has been reformulated in this generalized system. A notion of tension is defined to correspond the price in economics to the voltage in electric circuits. The equilibrium problem of flows and tensions is discussed on the basis of new network, and solved under a general hypothesis that characteristics of branches are represented by complete increasing curves, which express demand and supply curves.Article信州大学工学部紀要 54: 49-64 (1983)信州大学工学部1983-08-25engdepartmental bulletin paperhttp://hdl.handle.net/10091/11866https://soar-ir.repo.nii.ac.jp/records/128520037-3818AN00121228信州大学工学部紀要544964https://soar-ir.repo.nii.ac.jp/record/12852/files/Engineering54-04.pdfapplication/pdf621.5 kB2015-09-28