title: Spatial market equilibrium in the case of linear transportation costs
metadata.name: dc.contributor.author
metadata.value: Krylatov, Alexander Y.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lonyagina, Yulia E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Golubev, Ruslan I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-01-19T13:53:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-01-19T13:53:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Krylatov A.Y., Lonyagina Y. E., Golubev R. I. Spatial market equilibrium in the case of linear transportation costs. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 4, pp. 447–454.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.409
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/22459
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this article, we study the spatial market equilibrium in the case of fixed demands and
  supply values, the requirement of equality in regard to overall supply and overall demand,
  and linear transportation costs. The problem is formulated as a nonlinear optimization
  program with dual variables reflecting supply and demand prices. It is shown that the
  unique equilibrium commodity assignment pattern is obtained explicitly via equilibrium
  prices. Moreover, it is proved that in order to obtain absolute values of equilibrium prices, it
  is necessary to establish a certain base market price. Therefore, once the base market price
  is given, then other prices are adjusted according to spatial market equilibrium.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project N 19-31-90109).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: spatial market equilibrium
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-linear optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multipliers of Lagrange
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Karush—Kuhn—Tucker conditions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Spatial market equilibrium in the case of linear transportation costs
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 447-454.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/22459/1/447-454.pdf
resources.format: Adobe PDF
resources.size: 214,45 kB