A non-cooperative approach to the ordinal Shapley-Shubik rule

In bargaining problems, a rule satisfies ordinal invariance if it does not depend on order-preserving transformations of the agents' utilities. In this paper, a non-cooperative game for three agents, based on bilateral offers, is presented. The ordinal Shapley-Shubik rule arises in subgame perfect equilibrium as the agents have more time to reach an agreement.