Some game theoretic issues in Nash bargaining by Lei Wang Nash bargaining was first modeled in John Nash's seminal 1950 paper. In his paper, he used a convex program to give the Nash bargaining solution, which satisfies many natural properties. Recently, V. Vazirani defined a class of Nash bargaining problems as Uniform Nash Bargaining (UNB) and also defined a subclass called Submodular Nash Bargaining (SNB). In this talk, we will consider some game theoretic issues of UNB: (1) price of bargaining; (2) fully competitiveness; (3) min-max and max-min fairness and we show that each of these properties characterizes the subclass SNB.