A Bertrand Duopoly Game with Long-Memory Effects
作者： Baogui Xin , Fangrui Cao , Wei Peng , Abdelalim A Elsadany , None
DOI: 10.1155/2020/2924169
关键词:
摘要: Reconsidering the Bertrand duopoly game based on concept of long short-term memory, we construct a fractional-order by extending integer-order to its corresponding form. We build such game, in which both players can make their decisions with long-memory effects. Then, investigate Nash equilibria, local stability, and numerical solutions. Using bifurcation diagram, phase portrait, time series, 0-1 test for chaos, numerically validate these results illustrate complex phenomena, as chaos.
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