A Mathematical Analysis of an Election System Proposed by Gottlob Frege

  title={A Mathematical Analysis of an Election System Proposed by Gottlob Frege},
  author={Paul Harrenstein and Marie-Louise Lackner and M. Lackner},
  • Paul Harrenstein, Marie-Louise Lackner, M. Lackner
  • Published 2019
  • Mathematics, Computer Science, Economics
  • ArXiv
  • In 1998 a long-lost proposal for an election law by Gottlob Frege (1848--1925) was rediscovered in the Thuringer Universitats- und Landesbibliothek in Jena, Germany. Frege's method for the election of representatives of a constituency features a remarkable concern for the representation of minorities. Its core idea is that votes cast for unelected candidates are carried over to the next election, while the elected candidates incur a cost of winning. We prove that this sensitivity to past… CONTINUE READING
    1 Citations

    Tables and Topics from this paper

    Explore Further: Topics Discussed in This Paper

    Strategic Campaign Management in Apportionment Elections
    • PDF


    Mathematical Properties of the Banzhaf Power Index
    • 622
    Fair Representation: Meeting the Ideal of One Man
    • 385
    • Highly Influential
    • PDF
    Proportional Representation: Apportionment Methods and Their Applications
    • 65
    The measurement of voting power
    • 268
    Liquid Democracy : Potentials, Problems, and Perspectives
    • 54
    • PDF
    Political districting: from classical models to recent approaches
    • 34
    • PDF
    Storable Votes: Protecting the Minority Voice
    • 18
    Decision-Rules and Individual Values in Constitutional Choice
    • 375
    Condorcet's principle implies the no show paradox
    • 206