On the sensitivity matrix of the Nash bargaining solution
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 , 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.
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Volume (Year): 37 (2008)
Issue (Month): 2 (June)
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- Thomson,William & Lensberg,Terje, 2006.
"Axiomatic Theory of Bargaining with a Variable Number of Agents,"
Cambridge University Press, number 9780521027038.
- Thomson,William & Lensberg,Terje, 1989. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521343831, December.
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- de Zeeuw, A.J. & van der Ploeg, F., 1987. "Difference games and policy evaluation : A conceptual framework," Research Memorandum FEW 268, Tilburg University, School of Economics and Management.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Douven, R. C. & Engwerda, J. C., 1995. "Is there room for convergence in the E.C.?," European Journal of Political Economy, Elsevier, vol. 11(1), pages 113-130, March.
- Douven, R.C.M.H. & Engwerda, J.C., 1995. "Is there room for convergence in the E.C.?," Other publications TiSEM 36d97fd3-a495-4c2e-b800-0, Tilburg University, School of Economics and Management.
- Douven, R.C.M.H., 1995. "Policy coordination and convergence in the EU," Other publications TiSEM d4354b51-1c72-4109-9bde-e, Tilburg University, School of Economics and Management.
- Engwerda, Jacob C. & van Aarle, Bas & Plasmans, Joseph E. J., 2002. "Cooperative and non-cooperative fiscal stabilization policies in the EMU," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 451-481, March.
- Engwerda, J.C. & van Aarle, B. & Plasmans, J.E.J., 2002. "Cooperative and non-cooperative fiscal stabilization policies in the EMU," Other publications TiSEM 2cc19f3f-16ad-4fed-a701-5, Tilburg University, School of Economics and Management.
- Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June. Full references (including those not matched with items on IDEAS)
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