Lexicographic monotone path solutions

The family of 2-person bargaining solutions called Lexicographic monotone path solutions-which are nonsymmetric generalizations of the lexicographic egalitarian solution-is characterized in several ways. Central in these characterizations is an interiority condition introduced in order to characterize the n-person lexicographic egalitarian solution. This condition means that a monotonicity property is required to hold only if the agreement is an interior Pareto optimal point, the interpretation being that in that case the agreement is ‘natural’ or ‘unforced’.