A minimal sufficient set of procedures in a bargaining model

•We study two-player strategic bargaining games with deterministic procedures.•We define a class of procedures called normalized procedures.•Each feasible payoff outcome can be implemented by a normalized procedure.•Different normalized procedures result in different payoff outcomes.

For a two-player bargaining model, Mao (2016) extends the alternating offers procedure of Rubinstein (1982) to more general procedures and explores which payoff outcomes are feasible, in the sense that they can be supported by some procedures as subgame perfect equilibria. In this paper, we define a special class of procedures called normalized procedures. We show that while the set of normalized procedures can yield all feasible partitions, none of its proper subsets can do so.