IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-16-00174.html
   My bibliography  Save this article

A Metric for Partitions

Author

Listed:
  • Ibrahim Inal

    (University of Edinburgh)

Abstract

In this note, we offer a new metric to measure the distance between the partitions of a given finite set. We compare the proposed metric with the ones in the literature through examples.

Suggested Citation

  • Ibrahim Inal, 2016. "A Metric for Partitions," Economics Bulletin, AccessEcon, vol. 36(1), pages 588-594.
    • Handle: RePEc:ebl:ecbull:eb-16-00174
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2016/Volume36/EB-16-V36-I1-P58.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dov Monderer & Dov Samet, 1996. "Proximity of Information in Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 707-725, August.
    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. Kets, W., 2008. "Beliefs in Network Games (Revised version of CentER DP 2007-46)," Other publications TiSEM a08e38fd-6b00-4233-94ce-3, Tilburg University, School of Economics and Management.
    2. Takashi Kunimoto, 2006. "The Robustness Of Equilibrium Analysis: The Case Of Undominated Nash Equilibrium," Departmental Working Papers 2006-26, McGill University, Department of Economics.
    3. Atsushi Kajii & Stephen Morris, 2020. "Refinements and higher-order beliefs: a unified survey," The Japanese Economic Review, Springer, vol. 71(1), pages 7-34, January.
    4. Kets, W., 2007. "Convergence of Beliefs in Bayesian Network Games," Other publications TiSEM 372c88bd-4b09-4976-a6e2-4, Tilburg University, School of Economics and Management.
    5. Fukuda, Satoshi, 2019. "Epistemic foundations for set-algebraic representations of knowledge," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 73-82.
    6. Ezra Einy & Ori Haimanko & Biligbaatar Tumendemberel, 2012. "Continuity of the value and optimal strategies when common priors change," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 829-849, November.
    7. Bergemann, Dirk & Morris, Stephen, 2017. "Belief-free rationalizability and informational robustness," Games and Economic Behavior, Elsevier, vol. 104(C), pages 744-759.
    8. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    9. Renault, Regis, 2000. "Privately Observed Time Horizons in Repeated Games," Games and Economic Behavior, Elsevier, vol. 33(1), pages 117-125, October.
    10. Timothy Van Zandt & Kaifu Zhang, 2011. "A theorem of the maximin and applications to Bayesian zero-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 289-308, May.
    11. Gensbittel, Fabien & Pęski, Marcin & Renault, Jérôme, 2022. "Value-based distance between information structures," Theoretical Economics, Econometric Society, vol. 17(3), July.
    12. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2008. "Uniform Continuity of the Value of Zero-Sum Games with Differential Information," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 552-560, August.
    13. Kets, Willemien, 2011. "Robustness of equilibria in anonymous local games," Journal of Economic Theory, Elsevier, vol. 146(1), pages 300-325, January.
    14. Gossner, Olivier, 2000. "Comparison of Information Structures," Games and Economic Behavior, Elsevier, vol. 30(1), pages 44-63, January.
    15. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
    16. , & , & , & ,, 2010. "Uniform topologies on types," Theoretical Economics, Econometric Society, vol. 5(3), September.
    17. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    18. Fabien Gensbittel & Marcin Peski & Jérôme Renault, 2021. "Value-Based Distance Between Information Structures," Working Papers hal-01869139, HAL.
    19. Kets, W., 2007. "Beliefs in Network Games (Replaced by CentER DP 2008-05)," Other publications TiSEM 1c11352b-a9fb-4e2f-9bb0-d, Tilburg University, School of Economics and Management.
    20. Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March.

    More about this item

    Keywords

    Partitions; Metric; Standard State Space Model;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:ebl:ecbull:eb-16-00174. 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: John P. Conley (email available below). General contact details of provider: .

    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.