For n-person bargaining problems the family of proportional solutions (introduced and characterized by Kalai in 1977) is generalized to bargaining problems with non-convex payo sets. The so-called "ecient proportional solutions" are characterized axiomatically using natural extensions of the...

It is a well-known fact that several prominent bargaining solutions are responsive to changes in status-quo (i.e., disagreement or fallback) payoffs. When an agent’s status-quo payoff increases, his solution payoff either stays the same or increases. A fully general result for these...