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Threshold Value: how binding thresholds affect the outcome of a negotiation

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  • Sylvie Thoron

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

The objective of this paper is to give the prospective outcome or "prospect" of a negotiation when the players' value can only be realized if a certain threshold is reached. Thresholds can be of different forms such as a certain number of players, a certain coalition of players or a certain total level of contribution. A value is proposed, which is defined for a given game and a given threshold. It is derived from a decomposition of the Shapley value.

Suggested Citation

  • Sylvie Thoron, 2010. "Threshold Value: how binding thresholds affect the outcome of a negotiation," Working Papers halshs-00512774, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00512774
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00512774
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    References listed on IDEAS

    as
    1. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    2. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
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    Keywords

    threshold; commitment; Shapley value; coalition structures; weights;
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