论文标题
具有模糊偏好的纯交换经济的平衡
Existence of an equilibrium for pure exchange economy with fuzzy preferences
论文作者
论文摘要
本文着重于一个新模型，以在具有模糊偏好（PXE-FP）的纯交换经济中达到平衡。提出的模型集成了交换，消费和代理商在消费集中的模糊偏好。我们在评估模糊偏好的消费设置上建立了一个新的模糊二进制关系。另外，我们证明在某些条件下设置的消费中存在连续模糊订单的功能。通过新的结果证实了对模糊的非合作游戏的模糊NASH平衡的新结果，证实了PXE-FP的模糊竞争均衡。任何代理商的所有战略资料的收益都是模糊的非合作游戏中的模糊数字。最后，我们表明模糊竞争平衡可以被描述为相关的准差异不等式的解决方案，从而产生平衡解决方案。
This paper focuses on a new model to reach the existence of equilibrium in a pure exchange economy with fuzzy preferences (PXE-FP). The proposed model integrates exchange, consumption and the agent's fuzzy preference in the consumption set. We set up a new fuzzy binary relation on the consumption set to evaluate the fuzzy preferences. Also, we prove that there exists a continuous fuzzy order-preserving function in the consumption set under certain conditions. The existence of a fuzzy competitive equilibrium for the PXE-FP is confirmed through a new result on the existence of fuzzy Nash equilibrium for fuzzy non-cooperative games. The payoffs of all strategy profiles for any agent are fuzzy numbers in fuzzy non-cooperative games. Finally, we show that the fuzzy competitive equilibrium could be characterized as a solution to an associated quasi-variational inequality, giving rise to an equilibrium solution.
