Abstract:
The paper studies the properties of proportional solutions for bargaining games and NTU games based on the proportional excess. The status quo-proportional solution for bargaining games is defind. It's consistency (in Hart–Mas-Collel sense) is proved, and an axiomatic characterization with consistency property is given. A consistent continuatuon of the solution to NTU game is defind, and the uniqueness theorem is proved. Some relations between bargaining and NTU solutions are given.
Keywords:bargaining games, NTU games, proportional excess, status quo-proportional solution, consistency.