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Degressive proportionality – source, findings and discussion of the cambridge compromise

100%
Dniestrzański P.
Mathematical Economics
|
2011
|
issue 7 (14)
39-50
EN
The principle of degressive proportionality in relation to the division of indivisible goods in the past few years – especially since the signing of the Treaty of Lisbon – has been one of the topics frequently appearing in studies of economists, mathematicians, lawyers and people involved in politics. It combines a purely theoretical and easily definable question with a very important practical problem that concerns primarily members of the European Union and countries aspiring to become one. The article shall include a debate and discussion of the findings of the Cambridge Compromise concerning proposals to solve the problem of allocating seats in the European Parliament.
2
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The Gini coefficient as a measure of disproportionality

100%
Dniestrzański P.
Didactics of Mathematics
|
2015
|
issue 12(16)
25-34
XX
Measures of inequality, properly adapted, often tend to be used as a tool to address the issue of disproportionality. The most popular of them, such as the Gini or Atkinson coefficient, or entropy coefficient can, under certain circumstances, act as measures of disproportionality. However, one must specify precisely what is to be measured and interpret the results consistently. In this paper we analyze what confusion or outright errors can be committed when using inequality coefficients. The presented analysis is aimed at the Gini coefficient, however, the problem also applies to the rest of the coefficients.
3
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Degressive proportionality – notes on the ambiguity of the concept

100%
Dniestrzański P.
Mathematical Economics
|
2013
|
issue 9 (16)
21-28
EN
This article discusses the problem of the definition of degressive proportionality. This term is used in many areas of economics but its meaning is not standardized. It is understood differently when related to tax issues compared to distribution of seats in the European Parliament. The differences are small but significant. The article provides and analyzes the different meanings of the concept of degressive proportionality and proposes to introduce two new concepts – concave degressive proportionality and convex degressive proportionality.
4

Studia ekonomiczno-matematyczne – analiza wybranych aspektów oferty edukacyjnej

100%
Dniestrzański P.
Didactics of Mathematics
|
2011
|
issue 8 (12)
5-16
EN
On the market today there is a very wide range of educational courses and specializations associated with broadly understood applications of mathematics in economics. Apparently similar (or almost identical) proposals of studies may, however, prove to be fundamentally different. This remains unchanged because of the still valid teaching standards. The author conducts an analysis of offers provided by selected universities in the area of the economic and mathematical studies, primarily focusing on two aspects: how the universities function in relation to the existing legal restrictions, and the candidates’ problems with choosing an appropriate offer.
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