Research Article

A Bertrand Duopoly Game with Long-Memory Effects

Table 1

Recent studies on dynamical duopoly games with integer-order difference equations.

StudyGame typeDecision variablesCharacteristicsReference

Ueda; Tu and WangCournot gameQuantityBounded rationality[1, 2]
Hsu, et al.Cournot gameQuantityTechnology licensing[3]
Al-khedhairiCournot gameQuantityDifferentiated players[4]
Fanti et al.; Gori and Sodini; Ahmed et al.Bertrand gamePriceProduct differentiation[8, 12, 14]
Askar and Al-khedhairiBertrand gamePriceLimited information[9]
Ma and LouBertrand gamePriceInteger delay[11]
Tu et al.Bertrand gamePriceR&D[13]
Yang, et al.Stackelberg gameQuantityBounded rationality[15]
Peng and LuStackelberg gameQuantityBounded rationality[16]
Shi; Le and ShengStackelberg gameQuantityBounded rationality[17]
Ma et al.Mixed gamePrice, quantityHeterogeneity[19]
WuDifferential gamepriceTechnology licensing[20]