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On the Sensitivity Matrix of the Nash Bargaining Solution

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  • Engwerda, J.C.

    (Tilburg University, Center for Economic Research)

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.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2006-107.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:2006107

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Related research

Keywords: Nash bargaining solution; d-monotonicity; diagonally dominant Stieltjes matrix;

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References

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  1. Thomson,William & Lensberg,Terje, 2006. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521027038, October.
  2. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  3. Douven, R.C.M.H. & Engwerda, J.C., 1995. "Is there room for convergence in the E.C.?," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153486, Tilburg University.
  4. Zeeuw, A.J. de & Ploeg, F. van der, 1987. "Difference games and policy evaluation: A conceptual framework," Research Memorandum 268, Tilburg University, Faculty of Economics and Business Administration.
  5. 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.
  6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  7. 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.
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Cited by:
  1. Engwerda, J.C., 2005. "On the Matrix (I + X)-1 ," Discussion Paper 2005-120, Tilburg University, Center for Economic Research.

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