On Bertrand duopoly game with differentiated goods

作者：

Highlights：

• Utility function of the form U(q1,q2)=q1α+q2α is introduced.

• New dynamical Bertrand games are derived.

• Stability conditions of equilibrium points are discussed.

• Chaos and bifurcation behavior are studied.

摘要

•Utility function of the form U(q1,q2)=q1α+q2α is introduced.•New dynamical Bertrand games are derived.•Stability conditions of equilibrium points are discussed.•Chaos and bifurcation behavior are studied.

论文关键词：Bertrand game,CES utility function,Nash equilibrium point,Bifurcation,Chaos

论文评审过程：Available online 5 December 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.11.051