A non-cooperative approach to the ordinal Shapley rule

Abstract

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 simple non-cooperative game for three agents, based on bilateral offers, is presented. The ordinal Shapley rule arises in subgame perfect equilibrium as the agents have more time to reach an agreement.

ordinal bargaining; ordinal Shapley rule