The Classical Definition Of Domain Society Choose The Effectiveness Of The Function Monotonicity And Dictatorship Of The Discussion

Many scholars have attained a lot of impossible theories in exchange economics. For example, Serizawa S. (2000a) showed that there was no social function which satisfied Strategy-proof, Pareto efficient and Individual Rationality in Classical, Homothetic, Smooth domain. In 2002, he attained the similar theory which changed the Individual Rationality to Minimum Consumption guarantees in the same domain. Then in 2006 he strengthened Strategy-proof to Effectively Pairwise Strategy-proof, Individual Rationality to Non-dictatorial in the same domain. Serizawa S. (2000b) showed that in Classical domain, there was no social function which satisfied Pairwise Strategy-proof, Pareto efficient and Non-dictatorial. In this article I will discuss that changing Pairwise Strategy-proof to Monotonic and extending the domain to Classical, the impossible theory will exisit or not.