Пространственное рыночное равновесие в случае линейных транспортных затрат

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Пространственное рыночное равновесие в случае линейных транспортных затрат. / Krylatov, A. Y.; Lonyagina, Y. E.; Golubev, R. I.

в: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Том 16, № 4, 12.2020, стр. 447-454.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Author

Krylatov, A. Y. ; Lonyagina, Y. E. ; Golubev, R. I. / Пространственное рыночное равновесие в случае линейных транспортных затрат. в: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2020 ; Том 16, № 4. стр. 447-454.

BibTeX

@article{ab4f8c23f3f34115a4a8eda5dc8b0015,

title = "Пространственное рыночное равновесие в случае линейных транспортных затрат",

abstract = "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.",

keywords = "Karush—Kuhn—Tucker conditions, Multipliers of Lagrange, Non-linear optimization, Spatial market equilibrium",

author = "Krylatov, {A. Y.} and Lonyagina, {Y. E.} and Golubev, {R. I.}",

note = "Funding Information: ∗ This work was supported by the Russian Foundation for Basic Research (project N 19-31-90109). {\textcopyright}c Санкт-Петербу ргский госу дарственный у ниверситет, 2020 Publisher Copyright: {\textcopyright} 2020 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; Stability and Control Processes : International Conference Dedicated to the Memory of Professor Vladimir Zubov, SCP ; Conference date: 05-10-2020 Through 09-10-2020",

year = "2020",

month = dec,

doi = "10.21638/11701/SPBU10.2020.409",

language = "русский",

volume = "16",

pages = "447--454",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "4",

url = "http://www.apmath.spbu.ru/scp2020/, http://www.apmath.spbu.ru/scp2020/ru/main/, http://www.apmath.spbu.ru/scp2020/eng/program/#schedule, https://link.springer.com/conference/scp",

}

RIS

TY - JOUR

T1 - Пространственное рыночное равновесие в случае линейных транспортных затрат

AU - Krylatov, A. Y.

AU - Lonyagina, Y. E.

AU - Golubev, R. I.

N1 - Conference code: 4

PY - 2020/12

Y1 - 2020/12

N2 - 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.

AB - 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.

KW - Karush—Kuhn—Tucker conditions

KW - Multipliers of Lagrange

KW - Non-linear optimization

KW - Spatial market equilibrium

UR - http://www.scopus.com/inward/record.url?scp=85101337228&partnerID=8YFLogxK

U2 - 10.21638/11701/SPBU10.2020.409

DO - 10.21638/11701/SPBU10.2020.409

M3 - статья

AN - SCOPUS:85101337228

VL - 16

SP - 447

EP - 454

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 4

T2 - Stability and Control Processes

Y2 - 5 October 2020 through 9 October 2020

ER -

ID: 74602385