- Autor
- Cegiełka Katarzyna (Wrocław University of Economics, Poland), Łyko Janusz (Wrocław University of Economics, Poland)
- Tytuł
- Rounding in the Problem of the Allocation of Indivisible Goods
- Źródło
- Didactics of Mathematics, 2017, nr 14 (18), s. 5-18, tab., bibliogr. 6 poz.
- Słowa kluczowe
- Matematyka
Mathematics - Uwagi
- Klasyfikacja JEL: D39
summ. - Abstrakt
- Using approximate, rounded values implies, in a sense, that an exact numerical value may be ignored. In many cases the difference between the exact and approximate values is not important, and replacing exact numbers by their approximate values does not result in undesired consequences. Yet in certain circumstances, rounding significantly influences the solutions of given problems. This is the case, among others, when we allocate indivisible goods. It may happen that the rounding mode affects the result of allocation so much that the rounding differences cannot be neglected by the agents participating in distribution. This paper presents the classic problem of distributing mandates in representative bodies along with different rounding modes in respective solution procedures.(original abstract)
- Dostępne w
- Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Biblioteka Główna Uniwersytetu Ekonomicznego we Wrocławiu - Pełny tekst
- Pokaż
- Bibliografia
- Aristotle (2002). Nicomachean Ethics - Book 5. Selected Works. Wydawnictwo Naukowe PWN. Warszawa.
- Baliński M., Young H.P. (1977). On Huntington methods of apportionment. Journal on Applied Mathematics. No 33 (4). Pp. 607-618.
- Baliński M., Young H.P. (1980). The Webster method of apportionment. Proceedings of National Academy of Sciences. No 77. Pp. 1-4.
- Lauwers L., Puyenbroeck T.V. (2006). The Hamilton apportionment method is between the Adams and the Jefferson method. Mathematics of Operations Research. No 31 (2). Pp. 390-397.
- Pukelsheim F. (2014). Proportional Representation. Apportionment Methods and Their Applications. Springer.
- Young H.P. (1994). Equity: In Theory and Practice. Princeton U. Press. Princeton.
- Cytowane przez
- ISSN
- 1733-7941
- Język
- eng
- URI / DOI
- http://dx.doi.org/10.15611/dm.2017.14.01