Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this note  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, re 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,  present a sufficient condition for the Nash solution to be strong d-monotonic.
['Jacob Engwerda', 'Rudy Douven']
I am writing a research paper on a idea On the sensitivity matrix of the Nash bargaining solution
[{"from": "human", "value": "I am writing a research paper on a idea On the sensitivity matrix of the Nash bargaining solution"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this note  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, re 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,  present a sufficient condition for the Nash solution to be strong d-monotonic."}]