- Tytuł:
- On maximal social preference
- Autorzy:
-
Łyko, Janusz
Smoluk, Antoni - Powiązania:
- https://bibliotekanauki.pl/articles/584937.pdf
- Data publikacji:
- 2014
- Wydawca:
- Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
- Tematy:
-
of welfare
2/3 rule
utylity functions
Malthus’ increase
Markov’s matrix - Opis:
- Mathematics and physics are based on two numbers: Archimedes’ constant = 3,14… and e = 2,71… – Napier’s constant. The former reflects the ratio of the perimeter of a figure to its diameter and maximizes the area, given the diameter. The solutions are the disk and the circle. The latter represents the accumulated capital paid by a bank after one year from investing one unit of money at an annual interest rate of 100% under continuous compounding. The ratio of the disk’s perimeter to its diameter, i.e. , governs omnipresent cyclical motion, whereas Napier’s constant determines natural growth – exponential growth. Nature mixes both kinds of behaviour: there is equilibrium – vortices, and the cobweb model, dynamic growth. Our general remarks are corroborated by the theory of linear differential equations with constant coefficients. Social life – democracy and quality – despite the deceptive chaos of accidental behaviour, is also governed by a beautiful numeral law. This social number is λ = ⅔ whose notation is derived from the Greek meaning crowd, people, assembly. The social number, Łyko’s number, is defined by the fundamental theorem. If each alternative of a maximal relation of a given profile has its frequency in this profile greater than ⅔, then such relation is a group preference. This sufficient condition separates a decisional chaos from a stable economic and voting order – the preference. Also our everyday language makes use of . We distinguish with it upper states – elitist ones, from ordinary standards. The ⅔ rule implies that in each group one third of the population prevails, while the rest are just background actors. The number also appears, a bit of a surprise, in classical theorems of geometry.
- Źródło:
-
Mathematical Economics; 2014, 10(17); 33-52
1733-9707 - Pojawia się w:
- Mathematical Economics
- Dostawca treści:
- Biblioteka Nauki
Artykuł