Advertisement

Mathematical Theory of Democracy

  • Andranik Tangian

Part of the Studies in Choice and Welfare book series (WELFARE)

Table of contents

  1. Front Matter
    Pages i-xx
  2. History

    1. Front Matter
      Pages 1-2
    2. Andranik Tangian
      Pages 3-36
    3. Andranik Tangian
      Pages 37-56
    4. Andranik Tangian
      Pages 159-229
  3. Theory

    1. Front Matter
      Pages 231-232
    2. Andranik Tangian
      Pages 233-283
    3. Andranik Tangian
      Pages 285-318
    4. Andranik Tangian
      Pages 319-352
    5. Andranik Tangian
      Pages 353-423
  4. Applications

    1. Front Matter
      Pages 447-448
    2. Andranik Tangian
      Pages 449-463
    3. Andranik Tangian
      Pages 465-477
    4. Andranik Tangian
      Pages 479-504
    5. Andranik Tangian
      Pages 505-520
  5. Appendix

    1. Front Matter
      Pages 521-522
    2. Andranik Tangian
      Pages 523-535
  6. Back Matter
    Pages 571-615

About this book

Introduction

The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate’s political profile. In addition, societal and non-societal applications are considered.

Keywords

Arrow's Paradox Condorcet's Paradox Representative Democracy Representativeness Social Choice

Authors and affiliations

  • Andranik Tangian
    • 1
  1. 1.WSIHans Boeckler FoundationDüsseldorfGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-38724-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-38723-4
  • Online ISBN 978-3-642-38724-1
  • Series Print ISSN 1614-0311
  • Buy this book on publisher's site