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A note on van Damme's mechanism

Author

Listed:
  • Elisabeth Naeve-Steinweg

    (Institute of Mathematical Economics, University of Bielefeld, P.O. Box 100131, D-33501 Bielefeld, Germany)

Abstract

We consider (two-person) bargaining games and we assume that the agents want to apply two possibly different bargaining solutions. A mechanism is a function which assigns an allocation to every bargaining game and every pair of bargaining solutions. Examining van Damme's mechanism (1986) from a cooperative point of view we see that it fails to satisfy Pareto-optimality. By modifying it we propose a new mechanism yielding the same conclusions as the original while enjoying some additional desirable properties.

Suggested Citation

  • Elisabeth Naeve-Steinweg, 1999. "A note on van Damme's mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 4(2), pages 179-187.
  • Handle: RePEc:spr:reecde:v:4:y:1999:i:2:p:179-187
    Note: Received: 8 August 1998 / Accepted: 15 October 1998
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    Citations

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    Cited by:

    1. José M. Jiménez Gómez & María del Carmen Marco Gil & Pedro Gadea Blanco, 2010. "Some game-theoretic grounds for meeting people half-way," Working Papers. Serie AD 2010-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Trockel,W., 2001. "Can and should the Nash program be looked at as a part of mechanism theory?," Center for Mathematical Economics Working Papers 322, Center for Mathematical Economics, Bielefeld University.
    3. Vidal-Puga, Juan J., 2008. "Forming coalitions and the Shapley NTU value," European Journal of Operational Research, Elsevier, vol. 190(3), pages 659-671, November.
    4. Pedro Gadea-Blanco & José-Manuel Giménez-Gómez & M. Carmen Marco-Gil, 2016. "Compromising in bifocal distribution games: the average value," Theory and Decision, Springer, vol. 81(3), pages 449-465, September.
    5. repec:jmi:articl:jmi-v1i1a3 is not listed on IDEAS
    6. Duman, Papatya & Trockel, Walter, 2016. "On non-cooperative foundation and implementation of the Nash Solution in subgame perfect equilibrium via Rubinstein’s game," Center for Mathematical Economics Working Papers 550, Center for Mathematical Economics, Bielefeld University.
    7. Naeve-Steinweg, E., 2004. "The averaging mechanism," Games and Economic Behavior, Elsevier, vol. 46(2), pages 410-424, February.

    More about this item

    Keywords

    Meta-bargaining; Nash bargaining solution; non-cooperative approach; cooperative approach; mechanism;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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