IDEAS home Printed from https://ideas.repec.org/p/kei/dpaper/2012-041.html
   My bibliography  Save this paper

A Comparison of NTU values on a Certain Class of Games

Author

Listed:
  • Chaowen Yu

    (Graduate School of Economics, Keio University)

Abstract

The Maschler-Owen value and the NTU Shapley value are two well-known ex- tensions of the TU Shapley value. In this paper, we compare a set of axioms that these values satisfy on the domain of games consisting of all monotonic hyperplane games and all monotonic prize games (Hart [1994]). The axiomatization of these two values on this domain are also given.

Suggested Citation

  • Chaowen Yu, 2013. "A Comparison of NTU values on a Certain Class of Games," Keio/Kyoto Joint Global COE Discussion Paper Series 2012-041, Keio/Kyoto Joint Global COE Program.
    • Handle: RePEc:kei:dpaper:2012-041
    as

    Download full text from publisher

    File URL: https://ies.keio.ac.jp/old_project/old/gcoe-econbus/pdf/dp/DP2012-041.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sergiu Hart, 2004. "A comparison of non-transferable utility values," Theory and Decision, Springer, vol. 56(2_2), pages 35-46, February.
    2. Hart, Sergiu, 1985. "An Axiomatization of Harsanyi's Nontransferable Utility Solution," Econometrica, Econometric Society, vol. 53(6), pages 1295-1313, November.
    3. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
    4. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
    5. Sergiu Hart, 2005. "An axiomatization of the consistent non-transferable utility value," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 355-366, September.
    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. Emililo Calvo, 2004. "Single NTU-value solutions," Game Theory and Information 0405004, University Library of Munich, Germany, revised 10 Jun 2004.
    2. Barry O'Neill, 2014. "Networks of Rights in Conflict: A Talmudic Example," Discussion Paper Series dp677, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, University Library of Munich, Germany.
    4. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    5. Hinojosa, M.A. & Romero, E. & Zarzuelo, J.M., 2012. "Consistency of the Harsanyi NTU configuration value," Games and Economic Behavior, Elsevier, vol. 76(2), pages 665-677.
    6. Perez-Castrillo, David & Wettstein, David, 2006. "An ordinal Shapley value for economic environments," Journal of Economic Theory, Elsevier, vol. 127(1), pages 296-308, March.
    7. M. Hinojosa & E. Romero-Palacios & J. Zarzuelo, 2015. "Consistency of the Shapley NTU value in G-hyperplane games," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 259-278, December.
    8. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    9. Carmen Herrero & Antonio Villar, 2010. "The rights egalitarian solution for NTU sharing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 137-150, March.
    10. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "The Consistent Coalitional Value," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 832-851, November.
    11. Sergiu Hart & Andreu Mas-Colell, 2008. "Bargaining and Cooperation in Strategic Form Form Games," Levine's Working Paper Archive 122247000000002205, David K. Levine.
    12. 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.
    13. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.
    14. Sergiu Hart & Andreu Mas-Colell, 2008. "Cooperative Games in Strategic Form," Discussion Paper Series dp484, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    15. de Clippel, Geoffroy, 2005. "Values for cooperative games with incomplete information: An eloquent example," Games and Economic Behavior, Elsevier, vol. 53(1), pages 73-82, October.
    16. Camelia Bejan & Juan Gómez, 2012. "Axiomatizing core extensions," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 885-898, November.
    17. van Damme, E.E.C., 1995. "Game theory : The next stage," Other publications TiSEM 7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
    18. David Perez-Castrillo & David Wettstein, 2004. "An Ordinal Shapley Value for Economic Environments (Revised Version)," UFAE and IAE Working Papers 634.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    19. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
    20. de Clippel, Geoffroy, 2007. "The procedural value for cooperative games with non-transferable utility," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 46-52, January.

    More about this item

    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:kei:dpaper:2012-041. 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: Global COE Program Office (email available below). General contact details of provider: https://edirc.repec.org/data/iekeijp.html .

    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.