Naslov
Minimization of the d-measure of divergence from the compromise

Autori
Hatzivelkos, Aleksandar ; Stojanović, Branimir

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts of the 8-th International Conference on Logic and Applications - LAP 2019 / Šikić, Zvonimir ; Scedrov, Andre ; Ghilezan, Silvia ; Ognjanović, Zoran ; Studer, Thomas - Dubrovnik : Inter University Centre Dubrovnik, 2019, 17-18

Skup
8th International Conference Logic and Applications (LAP 2019)

Mjesto i datum
Dubrovnik, Hrvatska, 23.09.2019. - 27.09.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
social choice theory ; compromise ; measure of divergence from compromise
(social choice theory, compromise, measure of divergence from compromise)

Sažetak
This work is based on a mathematical model for description of a compromise as a version of Sorites paradox within social choice theory. We will present a way to minimize d-measure of divergence from compromise: minimization over all possible permutations of candidates. We show that this function satisfies strict Pareto principle for all levels of compromise (that is, for all d>1). Furthermore, we prove that such minimization is positively responsive in three candidates scenario for d=2 (on the other hand, we outline construction of non-monotonic profiles for other values of d), and that in the same scenario such minimization satisfies intense independence of irrelevant alternatives (IIIA), as Saari defined it. Note that IIIA is proven to be substantial for characterization of Borda count, and this procedure is clearly different from Borda count.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti

POVEZANOST RADA