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On the sensitivity matrix of the Nash bargaining solution

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  • Engwerda, J.C.

    (Tilburg University)

  • Douven, R.C.M.H.

    (Tilburg University)

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 in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-364999.

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Date of creation: 2008
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Publication status: Published in International Journal of Game Theory (2008) v.37, p.265-279
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-364999

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Web page: http://www.tilburguniversity.edu/

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  1. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  2. Engwerda, J.C. & Aarle, B. van & Plasmans, J.E.J., 2002. "Cooperative and non-cooperative fiscal stabilization policies in the EMU," Open Access publications from Tilburg University, Tilburg University urn:nbn:nl:ui:12-88304, Tilburg University.
  3. Thomson,William & Lensberg,Terje, 2006. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521027038.
  4. Douven, R. C. & Engwerda, J. C., 1995. "Is there room for convergence in the E.C.?," European Journal of Political Economy, Elsevier, Elsevier, vol. 11(1), pages 113-130, March.
  5. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, Elsevier, vol. 42(1), pages 50-58, June.
  6. Zeeuw, A.J. de & Ploeg, F. van der, 1987. "Difference games and policy evaluation: A conceptual framework," Research Memorandum, Tilburg University, Faculty of Economics and Business Administration 268, Tilburg University, Faculty of Economics and Business Administration.
  7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, Econometric Society, vol. 18(2), pages 155-162, April.
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Cited by:
  1. Engwerda, J.C., 2005. "On the Matrix (I + X)-1 ," Discussion Paper, Tilburg University, Center for Economic Research 2005-120, Tilburg University, Center for Economic Research.

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