Mathematical Theory of Democracy

Authors:

ISBN: 978-3-642-38723-4 (Print) 978-3-642-38724-1 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xx

  2. History

    1. Front Matter

      Pages 1-2

    2. No Access

      Chapter

      Pages 3-36

      Athenian Democracy

    3. No Access

      Chapter

      Pages 37-56

      Echoes of Democracy in Ancient Rome

    4. No Access

      Chapter

      Pages 57-94

      Revival of Democracy in Italian Medieval City-Republics

    5. No Access

      Chapter

      Pages 95-158

      Enlightenment and the End of Traditional Democracy

    6. No Access

      Chapter

      Pages 159-229

      Modernity and Schism in Understanding Democracy

  3. Theory

    1. Front Matter

      Pages 231-232

    2. No Access

      Chapter

      Pages 233-283

      Direct Democracy

    3. No Access

      Chapter

      Pages 285-318

      Dictatorship and Democracy

    4. No Access

      Chapter

      Pages 319-352

      Representative Democracy

    5. No Access

      Chapter

      Pages 353-423

      Statistically Testing the Representative Capacity

    6. No Access

      Chapter

      Pages 425-446

      Concluding Discussion: Bridging Representative and Direct Democracies

  4. Applications

    1. Front Matter

      Pages 447-448

    2. No Access

      Chapter

      Pages 449-463

      Simple Applications

    3. No Access

      Chapter

      Pages 465-477

      Application to Collective Multicriteria Decisions

    4. No Access

      Chapter

      Pages 479-504

      Application to Stock Exchange Predictions

    5. No Access

      Chapter

      Pages 505-520

      Application to Traffic Control

  5. Appendix

    1. Front Matter

      Pages 521-522

    2. No Access

      Chapter

      Pages 523-535

      Computational Formulas

    3. No Access

      Chapter

      Pages 537-545

      Probabilities of Unequal Choices by Vote and by Candidate Scores

    4. No Access

      Chapter

      Pages 547-570

      Statistical Significance of Representative Capacity

  6. Back Matter

    Pages 571-615