This paper studies the dynamic characteristics of a nonlinear monopoly model involving two boundedly rational monopolists with different information and knowledge on the market demand. The $\ell$-monopolist knows only the actual values of output and the profit in the immediate past two periods, whereas the $k$-monopolist knows the marginal revenue but lacks computational ability to solve the profit maximization conditions. The price and cost functions are assumed to be cubic. These monopolists adopt a gradient-based method to determine their productions. For the dynamics of the $\ell$ -monopolist, the stability conditions and the explicit forms of the period-4 periodic points are obtained. The $k$-monopolist loses stability through a supercritical Neimark–Sacker bifurcation and a period-doubling bifurcation when the expected demand is formed with the past data. For comparison of the economic gains of the monopolists, the average profit associated with the nonlinear dynamics are calculated. It is numerically demonstrated that more information does not necessarily mean more profit.

本文研究了一个非线性垄断模型的动态特性，该模型涉及两个具有不同市场需求信息和知识的有限理性垄断者。这$\ell$-垄断者只知道最近两个时期的实际产出值和利润，而$ķ$-垄断者知道边际收益，但缺乏解决利润最大化条件的计算能力。假设价格和成本函数是立方的。这些垄断者采用基于梯度的方法来确定他们的产品。对于动态$\ell$-垄断，得到第4周期周期点的稳定条件和显式形式。这$ķ$-当预期需求与过去的数据形成时，垄断者通过超临界 Neimark-Sacker 分岔和倍周期分岔失去稳定性。为了比较垄断者的经济收益，计算了与非线性动态相关的平均利润。数字表明，更多的信息并不一定意味着更多的利润。