BORDA AND PLURALITY COMPARISON
WITH REGARD TO COMPROMISE AS
A SORITES PARADOX
Aleksandar Hatzivelkos
0000-0003-4759-7177 Received: 16th March 2018. ABSTRACT Social choice decision aggregation is a form of complex system
modelling which is based upon voters' rankings over a set of candidates. Different social choice
functions, such as Borda count, plurality count or Condorcet methods models different aspects of
social choice decision criteria. One of such criteria which has not been fully described or modelled,
is the notion of compromise. This article aims to define a measure which would capture the notion of
compromise on a given profile of voter preferences, about certain candidate being appointed to a
certain position by a certain social welfare function. The goal is to define what compromise should
mean, and proposes the so called "d-measure of divergence" as a measure of divergence for some
candidate to be positioned to a certain position. This study compares the results of two well
established social welfare functions, Borda and plurality count d-measure of divergence. KEY WORDS CLASSIFICATION
University of Applied Sciences Velika Gorica, Department of Mathematics
Velika Gorica, Croatia
INDECS 16(3-B), 465-484, 2018
DOI 10.7906/indecs.16.3.18
Full text available here.
Accepted: 27th July 2018.
Regular article
Borda count, plurality count, compromise
JEL: D72