IDEAS home Printed from https://ideas.repec.org/p/zbw/leiwps/99.html
   My bibliography  Save this paper

Collusion, symmetry, and the Banzhaf value

Author

Listed:
  • Casajus, André

Abstract

We resolve redundancies in the characterizations of the Banzhaf value suggested by Haller (1994, Int J Game Theory 23, 261-281) and Malawski (2002, Int J Game Theory 31:47-67). In particular, we show that the collusion properties employed by them are equivalent. Combined with the dummy player axiom, any of the collusion properties has strong symmetry implications whenever the cardinality of the player set exceeds two. Finally, we establish that the Banzhaf value is non-redundantly characterized by the dummy player axiom and any of the collusion properties, provided that the player set is as above.

Suggested Citation

  • Casajus, André, 2011. "Collusion, symmetry, and the Banzhaf value," Working Papers 99, University of Leipzig, Faculty of Economics and Management Science.
  • Handle: RePEc:zbw:leiwps:99
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/50537/1/669843172.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schäfer, Andreas & Schneider, Maik T., 2015. "Endogenous Enforcement Of Intellectual Property, North–South Trade, And Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 19(5), pages 1074-1115, July.
    2. Bretschger, Lucas & Steger, Thomas, 2013. "Globalization, The Volatility Of Intermediate Goods Prices, And Economic Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 17(2), pages 402-430, March.
    3. McKinnon, Ronald & Schnabl, Gunther, 2008. "China's exchange rate impasse and the weak U.S. dollar," Working Papers 73, University of Leipzig, Faculty of Economics and Management Science.
    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. Andreas Schäfer & Thomas Steger, 2014. "Journey into the Unknown? Economic Consequences of Factor Market Integration under Increasing Returns to Scale," Review of International Economics, Wiley Blackwell, vol. 22(4), pages 783-807, September.
    2. Casajus, André, 2012. "Solidarity and fair taxation in TU games," Working Papers 111, University of Leipzig, Faculty of Economics and Management Science.
    3. Casajus, André & Huettner, Frank, 2013. "Null players, solidarity, and the egalitarian Shapley values," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 58-61.
    4. Grossmann, Volker & Steger, Thomas & Trimborn, Timo, 2013. "Dynamically optimal R&D subsidization," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 516-534.
    5. Quaas, Georg, 2012. "Ein Nelson-Winter-Modell der deutschen Volkswirtschaft," Working Papers 112, University of Leipzig, Faculty of Economics and Management Science.
    6. Casajus, André & Hüttner, Frank, 2012. "Nullifying vs. dummifying players or nullified vs. dummified players: The difference between the equal division value and the equal surplus division value," Working Papers 110, University of Leipzig, Faculty of Economics and Management Science.
    7. Quaas, Georg & Köster, Robert, 2012. "Ein Modell für die Wirtschaftszweige der deutschen Volkswirtschaft: Das "MOGBOT" (Model of Germany's Branches of Trade)," Working Papers 106, University of Leipzig, Faculty of Economics and Management Science.
    8. Gawel, Erik, 2014. "Neuordnung der Professorenbesoldung in Sachsen," Working Papers 128, University of Leipzig, Faculty of Economics and Management Science.
    9. Bernhardt, Wolfgang, 2020. "Der (ost-)deutsche Witz ist tot - Der Volksmund schweigt. Warum? Zum 3. Oktober 2020," Working Papers 168, University of Leipzig, Faculty of Economics and Management Science.
    10. Papenfuß, Ulf & Steinhauer, Lars & Friedländer, Benjamin, 2015. "Beteiligungsberichterstattung der öffentlichen Hand im 13-Länder-Vergleich: Erfordernisse für mehr Transparenz über die Governance und Performance öffentlicher Unternehmen," Working Papers 135, University of Leipzig, Faculty of Economics and Management Science.
    11. Schnabl, Gunther, 2017. "Ultra-lockere Geldpolitiken, Finanzmarktblasen und marktwirtschaftliche Ordnung," Working Papers 151, University of Leipzig, Faculty of Economics and Management Science.
    12. Behnert, Marika & Bruckner, Thomas, 2018. "Cost effects of energy system stability and flexibility options: An integrated optimal power flow modeling approach," Working Papers 155, University of Leipzig, Faculty of Economics and Management Science.
    13. Quaas, Friedrun, 2014. "Orthodoxer Mainstream und Heterodoxe Alternativen: Eine Analyse der ökonomischen Wissenschaftslandschaft," Working Papers 129, University of Leipzig, Faculty of Economics and Management Science.
    14. Schnabl Gunther & Müller Sebastian, 2018. "Zur Zukunft der Europäischen Union aus ordnungspolitischer Perspektive," ORDO. Jahrbuch für die Ordnung von Wirtschaft und Gesellschaft, De Gruyter, vol. 68(1), pages 3-34, March.
    15. Trela, Karl, 2014. "Klimaanpassung als wirtschaftspolitisches Handlungsfeld," Working Papers 131, University of Leipzig, Faculty of Economics and Management Science.
    16. Quaas, Friedrun & Quaas, Georg, 2016. "Effekte des Kapitalmarktzinses auf die Preis- und Produktivitätsentwicklung: Eine Analyse der deutschen Volkswirtschaft 1970-2014," Working Papers 144, University of Leipzig, Faculty of Economics and Management Science.
    17. Papenfuß, Ulf (Ed.) & Redlich, Matthias (Ed.) & Steinhauer, Lars (Ed.) & Friedländer, Benjamin (Ed.), 2015. "Forschend und engagiert lernen im Public Management: Befunde und Gestaltungsanregungen eines Service Learning Lehrforschungsprojektes (2. aktualisierte Auflage)," Working Papers 140, University of Leipzig, Faculty of Economics and Management Science.
    18. Gunther Schnabl, 2015. "Japans Lehren für das Schweizer Wechselkursdilemma," Wirtschaftsdienst, Springer;ZBW - Leibniz Information Centre for Economics, vol. 95(3), pages 192-199, March.
    19. Papenfuß, Ulf & Schmidt, Christian, 2015. "Determinants of manager pay in German state-owned enterprises and international public policy implications: 3-year study for sectors, performance and gender," Working Papers 137, University of Leipzig, Faculty of Economics and Management Science.
    20. Schnabl, Gunther, 2015. "Wege zu einer stabilitäts- und wachstumsorientierten Geldpolitik aus österreichischer Perspektive," Working Papers 139, University of Leipzig, Faculty of Economics and Management Science.

    More about this item

    Keywords

    Banzhaf value; symmetry; collusion; proxy; association; distrust;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    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:zbw:leiwps:99. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/vileide.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.