Abstract
The Lisbon Treaty has legally endorsed degressiveness as a principle of distributing indivisible goods. Yet the principle has been implemented in executive acts with insufficient precision. As a result, it cannot be unambiguously applied in practice. Therefore many theoretical studies have been conducted aiming at a more precisely defined formulation of the principle so that resulting allocations could be explicitly derived from primary rules. This paper belongs to such research stream. It aims at submitting a formal definition of unrounded degressively proportional distribution.
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Notes
- 1.
Detailed mathematical analysis of the allocation functions the reader will find in [9].
- 2.
Haman argues that the value of parameter u can be then interpreted as a measure of degression of allocations. A smaller value of this parameter indicates more degression of the allocation. The smaller the value u, the more degressive allocation (closer to equal division). A given allocation is less degressive (closer to a proportional allocation), as u approaches unity. Haman continues the research into degressive proportionality in a weak case (UDP) and in a strong case (RDP) [11].
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Cegiełka, K., Dniestrzański, P., Łyko, J., Maciuk, A. (2018). Remarks on Unrounded Degressively Proportional Allocation. In: Nguyen, N., Kowalczyk, R., Mercik, J., Motylska-Kuźma, A. (eds) Transactions on Computational Collective Intelligence XXXI. Lecture Notes in Computer Science(), vol 11290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58464-4_6
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