Abstract: In 1950, Nash’s seminal paper introduced the axiomatic approach to the analysis of bargaining situations. Since then, many bargaining solutions have been proposed and axiomatically analyzed. The fact that agents, when face with a bargaining prob- lem, can come up with different solution concepts (that is, different notions of fair- ness and equity) was first introduced by van Damme (J Econ Theory 38:78–100, 1986) with the meta-bargaining model. In this paper we present and axiomatically analyze a procedure for solving meta-bargaining problems, which we call Unanimous–Concession. As an example, we show that the Nash solution is the result of the meta-bargaining process we define, when agents have dual egalitarian criteria. Finally, we compare, from an axiomatic point of view, our proposal with other meta- bargaining procedures.