IDEAS home Printed from https://ideas.repec.org/h/spr/stcchp/978-3-642-38724-1_11.html
   My bibliography  Save this book chapter

Simple Applications

In: Mathematical Theory of Democracy

Author

Listed:
  • Andranik Tangian

    (WSI Hans-Böckler-Foundation)

Abstract

Four simple applications of the formulas derived in the book are considered. The first application illustrates Theorem 4.14 from Section 4.8 about the convergence of the Borda and Condorcet counts as the size of the electorate increases. This application is aimed at planning a public opinion poll for ranking several options (like the candidates for election) with no cyclic majorities. Three other applications are based on formulas from Theorems 6.4 and 6.6 from Sections 6.4 and 6.5. One application deals with planing a public opinion poll with expected and guaranteed levels of representativeness. The other application describes how to plan a TV round table with invitees ‘from the street’, where the public opinion on each of several issues will be represented by at least one invitee. The last application discusses man’s ability to make complex decisions by focusing on seven to ten criteria instead of considering all available information. This is explained by the analogy between selections of criteria and representative bodies that make adequate decisions on behalf of the whole society. In particular, it is concluded that complex problems can often be analyzed with small models, and additional extensions bring much less gain than usually hoped for.

Suggested Citation

  • Andranik Tangian, 2014. "Simple Applications," Studies in Choice and Welfare, in: Mathematical Theory of Democracy, edition 127, chapter 0, pages 449-463, Springer.
    • Handle: RePEc:spr:stcchp:978-3-642-38724-1_11
    DOI: 10.1007/978-3-642-38724-1_11
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:spr:stcchp:978-3-642-38724-1_11. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.