Advanced search ?

Object

On maximal social preference
Download

Title: On maximal social preference

Creator:

Łyko, Janusz ; Smoluk, Antoni

Description:

Mathematical Economics, 2014, Nr 10 (17), s. 33-52

Abstrakt:

Mathematics and physics are based on two numbers: Archimedes' constant π = 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. π, 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 λαοζ 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 λ . 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 λ also appears, a bit of a surprise, in classical theorems of geometry.

Publisher:

Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu

Place of publication:

Wrocław

Date:

2014

Resource Type:

artykuł

Resource Identifier:

oai:dbc.wroc.pl:29268

Language:

eng

Relation:

Mathematical Economics, 2014, Nr 10 (17)

Rights:

Wszystkie prawa zastrzeżone (Copyright)

Access Rights:

Dla wszystkich w zakresie dozwolonego użytku

Location:

Uniwersytet Ekonomiczny we Wrocławiu

Group publication title:

Mathematical Economics

Format:

application/pdf

Subject and keywords:

state of welfare 2/3 rule utylity functions Malthus’ increase Markov’s matrix

Object collections:

Last modified:

Oct 17, 2019

In our library since:

Aug 27, 2015

Number of object content hits:

273

All available object's versions:

https://dbc.wroc.pl./publication/32724

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
On maximal social preference Oct 17, 2019

Similar

Śląski Przegląd Statystyczny = Silesian Statistical Review
Śląski Przegląd Statystyczny = Silesian Statistical Review

Próba formalnej definicji dobrobytu

Łyko, Janusz Smoluk, Antoni

2015
artykuł
Mathematical Economics
Mathematical Economics

A golden ratio as a generalization of the 2/3 rule of Janusz Łyko

Maciuk, Arkadiusz Smoluk, Antoni

2019
artykuł
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

Liberalne państwo dobrobytu wobec najsłabszych grup społecznych

Kowalski, Ryszard

2012
artykuł
Ekonomia XXI Wieku = Economics of the 21st Century
Ekonomia XXI Wieku = Economics of the 21st Century

Sprawiedliwość podziału degresywnie proporcjonalnego

Łyko, Janusz

2013
artykuł
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

Optymalizacja preferencji

Łyko, Janusz

2010
artykuł
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

Wpływ koncentracji indywidualnych opinii na istnienie maksymalnie zgodnej w sensie Bordy preferencji grupowej

Łyko, Janusz

2011
artykuł
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu
Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

Outsourcing B+R w światowym przemyśle farmaceutycznym

Łyko, Janusz

2010
artykuł
Mathematical Economics
Mathematical Economics

Transfer of a unit of good between agents in cases of degressively proportional allocation

Łyko, Janusz

2016
artykuł
More
×

Citation

Citation style:

Contact details

Address

Wrocław University of Science and Technology (Coordinator)
Library of Wrocław University of Science and Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław, Poland

Phone

(+48) 71-320-38-30
(+48) 71-320-47-50

E-Mail

bc@pwr.edu.pl

Visit us!

https://biblioteka.pwr.edu.pl/

This page uses 'cookies'. More information