IDEAS home Printed from https://ideas.repec.org/p/eth/wpswif/11-142.html
   My bibliography  Save this paper

On the Number of alpha-Pivotal Players

Author

Listed:

Abstract

We show that bounds like those of Al-Najjar and Smorodinsky (J. Econ. Theory, 2000) as well as of Gradwohl et al. (Math. Oper. Res., 2009) on the number of alpha-pivotal agents can be obtained by decomposition of variance. All these bounds have a similar asymptotic behaviour, up to constant factors. Our bound is weaker than that of Al-Najjar and Smorodinsky, but we require only pairwise independent—rather than independent—types. Our result strengthens the bound of Gradwohl et al.

Suggested Citation

  • Johannes Gerd Becker, 2011. "On the Number of alpha-Pivotal Players," CER-ETH Economics working paper series 11/142, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    • Handle: RePEc:eth:wpswif:11-142
    as

    Download full text from publisher

    File URL: https://www.ethz.ch/content/dam/ethz/special-interest/mtec/cer-eth/cer-eth-dam/documents/working-papers/WP-11-142.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2001. "Large Nonanonymous Repeated Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 26-39, October.
    2. Ronen Gradwohl & Omer Reingold & Ariel Yadin & Amir Yehudayoff, 2009. "Players' Effects Under Limited Independence," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 971-980, November.
    3. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    4. Al-Najjar, Nabil I., 2001. "A reputational model of authority," Journal of Economic Behavior & Organization, Elsevier, vol. 46(2), pages 165-191, October.
    5. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2000. "Provision of a public good with bounded cost," Economics Letters, Elsevier, vol. 67(3), pages 297-301, June.
    6. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2007. "The efficiency of competitive mechanisms under private information," Journal of Economic Theory, Elsevier, vol. 137(1), pages 383-403, November.
    7. Hans Gersbach, 2009. "Democratic Mechanisms," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1436-1469, December.
    8. Birulin, Oleksii, 2006. "Public goods with congestion," Journal of Economic Theory, Elsevier, vol. 129(1), pages 289-299, July.
    9. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Johannes Gerd Becker, 2012. "A Note on the Number of (alpha) -Pivotal Players," Mathematics of Operations Research, INFORMS, vol. 37(1), pages 196-200, February.

    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. Johannes Gerd Becker, 2012. "A Note on the Number of (alpha) -Pivotal Players," Mathematics of Operations Research, INFORMS, vol. 37(1), pages 196-200, February.
    2. Emmanuelle Auriol & Robert Gary-Bobo, 2012. "On the optimal number of representatives," Public Choice, Springer, vol. 153(3), pages 419-445, December.
    3. Ronen Gradwohl & Omer Reingold & Ariel Yadin & Amir Yehudayoff, 2009. "Players' Effects Under Limited Independence," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 971-980, November.
    4. Arieli, Itai & Babichenko, Yakov & Smorodinsky, Rann, 2020. "Identifiable information structures," Games and Economic Behavior, Elsevier, vol. 120(C), pages 16-27.
    5. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    6. Perrin Lefebvre & David Martimort, 2022. "Delegation, capture and endogenous information structures," Journal of Theoretical Politics, , vol. 34(3), pages 357-414, July.
    7. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    8. At, Christian & Béal, Sylvain & Morand, Pierre-Henri, 2015. "Freezeout, compensation rules, and voting equilibria," International Review of Law and Economics, Elsevier, vol. 41(C), pages 91-102.
    9. Stefano Galavotti, 2014. "Reducing Inefficiency in Public Good Provision Through Linking," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 427-466, June.
    10. Tchai Tavor & Uriel Spiegel, 2016. "The optimal supply of congested public goods for homogeneous and heterogeneous customers," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 25(1), pages 103-130, February.
    11. Obara Ichiro, 2008. "The Full Surplus Extraction Theorem with Hidden Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-28, March.
    12. Barbosa, Klenio, 2009. "Free Riding in Procurement Design," TSE Working Papers 09-128, Toulouse School of Economics (TSE).
    13. Sahm, Marco, 2006. "Essays in Public Economic Theory," Munich Dissertations in Economics 5633, University of Munich, Department of Economics.
    14. Laffont, Jean-Jacques & Martimort, David, 2005. "The design of transnational public good mechanisms for developing countries," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 159-196, February.
    15. David Martimort & Aggey Semenov & Lars Stole, 2017. "A Theory of Contracts with Limited Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 816-852.
    16. Chakravarty, Surajeet & Kaplan, Todd R. & Myles, Gareth, 2018. "When costly voting is beneficial," Journal of Public Economics, Elsevier, vol. 167(C), pages 33-42.
    17. Larionov, Daniil & Pham, Hien & Yamashita, Takuro & Zhu, Shuguang, 2021. "First Best Implementation with Costly Information Acquisition," TSE Working Papers 21-1261, Toulouse School of Economics (TSE), revised Apr 2022.
    18. Fang,H. & Norman,P., 2003. "An efficiency rationale for bundling of public goods," Working papers 19, Wisconsin Madison - Social Systems.
    19. Pranab Bardhan, 2005. "Institutions matter, but which ones?," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 13(3), pages 499-532, July.
    20. Grüner, Hans Peter & Koriyama, Yukio, 2012. "Public goods, participation constraints, and democracy: A possibility theorem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 152-167.

    More about this item

    Keywords

    alpha-pivotal agent; influence; direct mechanism; decomposition of variance;
    All these keywords.

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other

    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:eth:wpswif:11-142. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/iwethch.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.