平等与效率关系的数理经济逻辑——基于完全自由竞争的前提

运用数理经济学理论方法可以建立平等与效率关系新的逻辑框架。假设平等、效率是两种消费品,弱者、强者是两种消费者。在强、弱两者关于平等、效率的纯交换经济中,在完全自由竞争的前提下,两者经过竞争交易和讨价还价博弈,有可能实现均衡。这种均衡只是在一定条件下的产物,其具有存在性的三个主要条件是,相应的平等与效率关系满足凸性、紧致性和连续性;其具有稳定性的三个主要条件是,上述关系满足总量可替代性、瓦尔拉斯律和齐次性。

Mathematical Economic Logic of the Relationship Between Equality and Efficiency

A new logical framework on the relationship between equality and efficiency can be established by the way of mathematical economic theories.Assuming that equality and efficiency are two sorts of consumer goods,while the weak and the strong are two groups of consumers,in the pure economic process of exchange for equality and efficiency between the weak and the strong,and on the premise of perfect competition,they may realize equilibrium after competitive transaction and bargaining games.Such equilibrium only exists under certain circumstances,including three major conditions: convexity,compactness and continuity in respect of the relationship between equality and efficiency.Its stability relies on three main factors: the aforesaid relationship has its aggregative fungibility,Walras' Law and homogeneity.