The Exchange Rule in a Fixed Price Exchange Economy

In the finance market, labor market etc. the supply and demand are usually not equal, hence the exchange processes usually happen at disequilibrium prices. In this paper we attempts to present a simple computable disequilibrium exchange rule to describe the exchange process under a fixed price. In the analysis traders are assumed to have linear homogenous utility functions and been treated equally. And under the assumption of irreducibility the existence and uniqueness of the exchange outcome of the disequilibrium exchange rule are investigated. Finally an example with Cobb-Douglas utility functions is given to illustrate the disequilibrium exchange rule.