Complexity 2020:1-7 (2020)

Reconsidering the Bertrand duopoly game based on the concept of long short-term memory, we construct a fractional-order Bertrand duopoly game by extending the integer-order game to its corresponding fractional-order form. We build such a Bertrand duopoly game, in which both players can make their decisions with long-memory effects. Then, we investigate its Nash equilibria, local stability, and numerical solutions. Using the bifurcation diagram, the phase portrait, time series, and the 0-1 test for chaos, we numerically validate these results and illustrate its complex phenomena, such as bifurcation and chaos.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1155/2020/2924169
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 62,388
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Long-Term Behavior in the Theory of Moves.Stephen J. Willson - 1998 - Theory and Decision 45 (3):201-240.


Added to PP index

Total views
6 ( #1,099,164 of 2,445,421 )

Recent downloads (6 months)
3 ( #232,435 of 2,445,421 )

How can I increase my downloads?


My notes