参与人出于财务、生产能力、谨慎等方面的考虑,通常会对其业务量作一定限制,以避免其业务量过高或过低.考虑到这一情况,对有限理性的Bischi模型进行改进,对参与人每期的业务量加下限或(和)上限的限制,使之更符合实际.以添加下限为例,对改进后模型的动态性进行分析并与原模型进行对比.从分析中可以看到,下限在一定范围内取值时模型仍出现复杂的混沌行为,但与原模型有显著差别.在下限的取值达到一定程度时,模型的混沌现象会消失,出现稳定的周期行为.这个结果说明参与人可通过给状态变量加下限的方法来预防或抑制某些经济系统中的混沌.
In this paper, we take into consideration that player can offer only a limited output due to capacity constraints, financial constraints and cautious response to uncertainty in the world. By imposing an upper bound or (and) a lower bound on the output, we modify Bischi's model with bounded rationality. The modified models become economically more justified after modification. The stability of the equilibriums of the modified model by imposing a lower bound is different from the original model. When lower bound takes lower values, complex chaotic behavior occurs. However, chaos in the model can disappear as the lower bound take higher values. This results show player can prevent or suppresses chaos in some systems by adding lower bound to state variable.