We study a bilateral multi-issue bargaining procedure with complete information and endogenous unrestricted agenda, in which offers can be made in any subset of outstanding issues. We find necessary and sufficient conditions for this procedure to have a unique subgame perfect equilibrium agreement.

We characterize the Pareto correspondence, the core and the Walras solution using the axioms of consistency, converse consistency and one-person rationality. Consistency and its converse are defined with respect to suitably constructed reduced economies for each case. Our results hold for the...