Publications in Scientific Journals:

P. Harrenstein, M. Lackner, M. Lackner:
"A Mathematical Analysis of an Election System Proposed by Gottlob Frege";
Erkenntnis, 1 (2020), 1 - 36.

English abstract:
In 1998 a long-lost proposal for an election law by Gottlob Frege (1848-1925) was rediscovered in the Thüringer Universitäts- und Landesbibliothek in Jena, Germany. The method that Frege proposed 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 elected candidates incur a cost of winning. We prove that this sensitivity to past elections guarantees a proportional representation of political opinions in the long run. We find that through a slight modification of Frege´s original method even stronger proportionality guarantees can be achieved. This modified version of Frege´s method also provides a novel solution to the apportionment problem, which is distinct from all of the best-known apportionment methods, while still possessing noteworthy proportionality properties.

Elections Representative democracy Proportionality Proportional representation Apportionment Gottlob Frege (1848-1925)

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.