@techreport{1c9386dff5974d0489e1983d959a4ad7,

title = "On the Sensitivity Matrix of the Nash Bargaining Solution",

abstract = "In this note we provide a characterization of a subclass of bargaining problems for which the Nash solution has the property of disagreement point monotonicity.While the original d-monotonicity axiom and its stronger notion, strong d-monotonicity, were introduced and discussed by Thomson [15], this paper introduces local strong d-monotonicity and derives a necessary and sufficient condition for the Nash solution to be locally strong d-monotonic.This characterization is given by using the sensitivity matrix of the Nash bargaining solution w.r.t. the disagreement point d.Moverover, we present a sufficient condition for the Nash solution to be strong d-monotonic.",

keywords = "Nash bargaining solution, d-monotonicity, diagonally dominant Stieltjes matrix",

author = "J.C. Engwerda",

note = "Subsequently published in the International Journal of Game Theory, 2008 Pagination: 14",

year = "2006",

language = "English",

volume = "2006-107",

series = "CentER Discussion Paper",

publisher = "Macroeconomics",

type = "WorkingPaper",

institution = "Macroeconomics",

}