IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-00512774.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00512774/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    2. Geoffroy de Clippel & Roberto Serrano, 2008. "Bargaining, Coalitions and Externalities: a Comment on Maskin," Working Papers 2008-16, Brown University, Department of Economics.
    3. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2004. "Sharing the surplus: A just and efficient proposal for environments with externalities," UFAE and IAE Working Papers 611.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. Vidal-Puga, Juan, 2012. "The Harsanyi paradox and the “right to talk” in bargaining among coalitions," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 214-224.
    5. Besner, Manfred, 2022. "The grand surplus value and repeated cooperative cross-games with coalitional collaboration," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    6. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    7. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.
    8. María Gómez-Rúa & Juan Vidal-Puga, 2011. "Balanced per capita contributions and level structure of cooperation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 167-176, July.
    9. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    10. Yoshio Kamijo, 2013. "The collective value: a new solution for games with coalition structures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 572-589, October.
    11. 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.
    12. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
    13. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    14. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
    15. Horn, Henrik & Persson, Lars, 2001. "Endogenous mergers in concentrated markets," International Journal of Industrial Organization, Elsevier, vol. 19(8), pages 1213-1244, September.
    16. Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.
    17. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    18. Santiago Sánchez-Pagés, 2007. "Endogenous coalition formation in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 139-163, September.
    19. Edoardo Di Porto & Vincent Merlin & Sonia Paty, 2013. "Cooperation among local governments to deliver public services : a "structural" bivariate response model with fixed effects and endogenous covariate," Working Papers halshs-00787600, HAL.
    20. Thoron, Sylvie & Sol, Emmanuel & Willinger, Marc, 2009. "Do binding agreements solve the social dilemma?," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1271-1282, December.

    More about this item

    Keywords

    threshold; commitment; Shapley value; coalition structures; weights;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:halshs-00512774. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.