Research Article
A Bertrand Duopoly Game with Long-Memory Effects
Table 1
Recent studies on dynamical duopoly games with integer-order difference equations.
| Study | Game type | Decision variables | Characteristics | Reference |
| Ueda; Tu and Wang | Cournot game | Quantity | Bounded rationality | [1, 2] | Hsu, et al. | Cournot game | Quantity | Technology licensing | [3] | Al-khedhairi | Cournot game | Quantity | Differentiated players | [4] | Fanti et al.; Gori and Sodini; Ahmed et al. | Bertrand game | Price | Product differentiation | [8, 12, 14] | Askar and Al-khedhairi | Bertrand game | Price | Limited information | [9] | Ma and Lou | Bertrand game | Price | Integer delay | [11] | Tu et al. | Bertrand game | Price | R&D | [13] | Yang, et al. | Stackelberg game | Quantity | Bounded rationality | [15] | Peng and Lu | Stackelberg game | Quantity | Bounded rationality | [16] | Shi; Le and Sheng | Stackelberg game | Quantity | Bounded rationality | [17] | Ma et al. | Mixed game | Price, quantity | Heterogeneity | [19] | Wu | Differential game | price | Technology licensing | [20] |
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