umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Global bifurcations of basins in a triopoly game
Univ Cattolica Sacro Cuore, Ist Econometria & Matematica, Italy.
University of Urbino, Dept of Economics, Italy.
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM). Umeå University, Faculty of Social Sciences, Department of Economics.
2002 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 12, no 10, 2175-2207 p.Article in journal (Refereed) Published
Abstract [en]

A Cournot model based on bounded inverse demand function and constant marginal production costs is studied. The case of three producers is considered and the adjustment process reduces to a three-dimensional noninvertible map in the output of competitors. The analysis of the dynamical behavior of the map is performed by the "critical curve method", extended to the critical surfaces in 3D. By this method, we explain the different bifurcations in the basins of attraction and in the attracting sets. In particular, given the economic application, feasible trajectories are focused, starting from the simple situation of two identical producers and extending the results to the generic case.

Place, publisher, year, edition, pages
2002. Vol. 12, no 10, 2175-2207 p.
Keyword [en]
three-dimensional map, basin bifurcations, critical surfaces, subcritical neimark bifurcation
Identifiers
URN: urn:nbn:se:umu:diva-24522DOI: 10.1142/S0218127402005789OAI: oai:DiVA.org:umu-24522DiVA: diva2:226628
Available from: 2009-07-02 Created: 2009-07-02 Last updated: 2017-12-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Puu, Tönu
By organisation
Centre for Regional Science (CERUM)Department of Economics
In the same journal
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 65 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf