机床行业产品质量控制的非合作均衡策略研究——随机微分博弈的视角

Non-cooperative Stochastic Differential Game on Machine Tools Quality Control

运用随机微分博弈理论,建立了固定期限内的机床行业产品质量控制的非合作均衡策略问题的非合作随机微分博弈模型;接着,计算出该模型的反馈纳什均衡解,并指出该反馈纳什均衡解具有子博弈一致性;最后,运用数值模拟的方法进行验证。研究结果显示:在机床行业内产品质量控制的非合作均衡策略问题上,任何企业的那种不负责任的降低产品质量的行为不是最优的,为了避免在策略过程中蒙受损失,以实现自己的收益最大,理性地选择均衡解作为产品质量控制的目标是其最优策略。

We use stochastic differential game theory to establish a non-cooperative stochastic differential game model on fixed period of launching substandard machine tool products about duopoly, and gives the feedback Nash equilibrium solution of the model, and pointed out that the feedback Nash equilibrium solution is subgame consistency, and finally we use of numerical simulation method to verification. The results showed that： the kind of irresponsible behavior to launch substandard machine tool products is not optimal, rational choice in order to avoid loss to the policy process to achieve their own income, equilibrium solution as the target of launching substandard machine tool products is the optimal strategy.