Matematicheskaya Teoriya Igr i Ee Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Teor. Igr Pril.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2018, Volume 10, Issue 2, Pages 27–39 (Mi mgta217)  

This article is cited in 1 scientific paper (total in 1 paper)

Bertrand–Nash equilibrium in the linear city model

Serhij V. Melnikov

Odessa National Maritime University
Full-text PDF (116 kB) Citations (1)
References:
Abstract: The paper [1] explores the spatial duopoly of firms under Stackelberg competition, when one of the firms is the leader in terms of both volume of product and location. In this paper we consider the case of leadership only in terms of volume of product. Stackelberg–Nash equilibrium in the price and spatial strategies of firms are found. In the course of analysis of equilibrium stability, it is proved that the transport tariff is a bifurcation parameter for firms. It was found that the change in the central agglomeration strategy to the differentiation strategy occurs at the point of transcritical bifurcation. The conditions for full coverage of the markets for both strategies are defined. It is obtained that the Stackelberg information asymmetry leads to asymmetry of equilibrium locations of firms.
Keywords: linear city, agglomeration, differentiation, Stackelberg information asymmetry, transcritical bifurcation.
English version:
Automation and Remote Control, 2020, Volume 81, Issue 2, Pages 358–365
DOI: https://doi.org/10.1134/S0005117920020137
Document Type: Article
UDC: 519.865:338.518
BBC: 22.18
Language: Russian
Citation: Serhij V. Melnikov, “Bertrand–Nash equilibrium in the linear city model”, Mat. Teor. Igr Pril., 10:2 (2018), 27–39; Autom. Remote Control, 81:2 (2020), 358–365
Citation in format AMSBIB
\Bibitem{Mel18}
\by Serhij~V.~Melnikov
\paper Bertrand--Nash equilibrium in the linear city model
\jour Mat. Teor. Igr Pril.
\yr 2018
\vol 10
\issue 2
\pages 27--39
\mathnet{http://mi.mathnet.ru/mgta217}
\transl
\jour Autom. Remote Control
\yr 2020
\vol 81
\issue 2
\pages 358--365
\crossref{https://doi.org/10.1134/S0005117920020137}
Linking options:
  • https://www.mathnet.ru/eng/mgta217
  • https://www.mathnet.ru/eng/mgta/v10/i2/p27
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическая теория игр и её приложения
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024