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master's thesis
Indeksi snage u sustavu glasovanja da-ne
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:055381
Šarić, Marija
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Šarić, M. (2017). Indeksi snage u sustavu glasovanja da-ne (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:055381

Šarić, Marija. "Indeksi snage u sustavu glasovanja da-ne." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:055381

Šarić, Marija. "Indeksi snage u sustavu glasovanja da-ne." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:055381

Šarić, M. (2017). 'Indeksi snage u sustavu glasovanja da-ne', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 06 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:055381

Šarić M. Indeksi snage u sustavu glasovanja da-ne [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 January 06] Available at: https://urn.nsk.hr/urn:nbn:hr:126:055381

M. Šarić, "Indeksi snage u sustavu glasovanja da-ne", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:055381

Metadata
TitleIndeksi snage u sustavu glasovanja da-ne
Title (english)Power Indices in Yes-No Voting System
AuthorMarija Šarić
MentorTomislav Marošević (mentor)
Committee memberDanijel Grahovac (predsjednik povjerenstva)
Committee memberTomislav Marošević (član povjerenstva)
Committee memberSlobodan Jelić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2017-12-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Upoznali smo se sa kvantitativnim mjerilima političke snage u sustavu glasovanja da-ne i njenim utjecajima na konačni rezultat glasovanja. Iskazali smo kvantitativna mjerila političke snage pomoću četiri rezultata, a to su Shapley-Shubik, Banzhaf, Johnston i Deegan-Packel indeks snage, koje smo prikazali pomoću primjera. Pristupanjem novih članica koaliciji iskazali smo paradoks novih članova, gdje nam se čini da indeks snaga treba biti manji, a zapravo je veći. Na primjeru saveznog sustava SAD-a smo vidjeli snagu predsjednika, članova Senata i Zastupničkog doma. Takđer, opisali smo paradoks predsjedavajućeg. Pomoću pojma ordinalne snage, definirali smo jesu li snage pojedinog glasača usporedive ili neusporedive.
Abstract (english)
We introduced us with the quantitative measure of political power in the yes-no voting system and its influence on the final voting result. We have presented the quantitative measures of the political power by four results, which are Shapley-Shubik, Banzhaf, Johnson and Deegan-Packel index of power which were shown by means of examples. With the joining of new members to the coalition, we have shown the paradox of new members, where the power seemed to be smaller but is actually bigger. In the example of the U. S. federal system, we have seen the power of president, members of the Senate and the House of Representatives. We presented the president’s power which is a paradox called The Chair’s Paradox. Through the ordinal power we have defined when we can say that power of voter is comparable or incomparable.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:055381
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-02-13 07:25:13