This course will introduce several resource allocation problems including cooperative game theory, bankruptcy problems, cost-sharing problems and etc. Meanwhile, fair allocation mechanisms will be introduced for each class of resource allocation problems. This course studies allocation mechanisms from the axiomatic approach. The departure point of the approach is the properties of allocation mechanisms. These properties are formally stated as axioms and used to compare allocation mechanisms. The ultimate object of the approach is to trace out the boundary between those combinations that are compatible and those that are not, and when compatible, to give as explicit as possible a description of the family of allocation mechanisms satisfying them. The properties of allocation mechanisms often are motivated by several fairness or justice criteria. This course will introduce the criteria and explore their implications.