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1

Ergodic Axiom: The Ontological Mistakes in Economics

100%
Andrášik L.
Creative and Knowledge Society
|
2015
|
vol. 5
|
issue 1
47-65
EN
There are several ontological and consequently also methodological mistakes in contemporary mainstream economics. Among them, the so-called ergodic axiom is play significant role. It is understandable that the real economy elaborated as formalized mental model looks like dynamic system on first sight. However, that is right only of dynamical systems in mathematical formalism. Economy that is in our understanding societal and/or collective economy is complex evolving organism. If we imagine such organism in the form of dynamical system that is as clear mathematical formalism, we are losing their crucial authentic character. The significant irredeemable attribute of societal economy is lying in his complex evolving network process character created by large population of people with different decision-making and complex realizing among them. Going from these imaginations the two entities in a question that is dynamical system with their ergodicity and societal economic organism as complex evolving network are qualitative very different ones. That is the reason why we cannot accede with endeavours to draw on living economy straitjacket of ergodic axiom. To articulate that cause by other words ergodic dynamical systems are applicable for physical and partly for chemical entities and only scarcely are fit for living organisms. On the other hand however, as clear method the ergodic dynamical system have good applying for didactical approaches in economics where helping in better understanding some types of complexities in dynamics. The purpose of that essay is to discuss problems around usability of ergodic dynamical system theory and methods in economics in the age of advanced ICT knowledge based society.
2
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Simulating the propagation of rumours with spreaders of distinct characters

88%
MENCIÓ-PADRÓN D., BOUZA-ALLENDE G.
Operations Research and Decisions
|
2023
|
vol. 33
|
issue 3
75-87
EN
The occurrence of a disaster and the appearance of a new product are items of news that can reach many people rapidly. Decision-makers would like to know how many individuals will obtain such information. In this paper, we study the case in which there are spreaders who think that the news is true and others that claim it is false. We simulate the propagation of a rumour and propose an algorithm for estimating the parameters of the resulting dynamical system. The relation between the parameters defining the simulation and the dynamical system is also studied. We conclude that the simulation describes the phenomenon well, in particular when the method proposed in this paper is used to estimate the parameters.
3
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Simulating the propagation of rumours with spreaders of distinct characters

88%
Menció-Padrón D., Bouza-Allende G.
Operations Research and Decisions
|
2023
|
vol. 33
|
issue 3
EN
The occurrence of a disaster and the appearance of a new product are items of news that can reach many people rapidly. Decision-makers would like to know how many individuals will obtain such information. In this paper, we study the case in which there are spreaders who think that the news is true and others that claim it is false. We simulate the propagation of a rumour and propose an algorithm for estimating the parameters of the resulting dynamical system. The relation between the parameters defining the simulation and the dynamical system is also studied. We conclude that the simulation describes the phenomenon well, in particular when the method proposed in this paper is used to estimate the parameters.
4
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MODEL DYNAMIKI RYNKU PRACY Z HETEROGENICZNĄ SIŁĄ ROBOCZĄ

75%
Wrzosek M.
Metody Ilościowe w Badaniach Ekonomicznych
|
2014
|
vol. 15
|
issue 4
236-245
PL
W pracy przedstawiono model dynamiki na rynku pracy w sytuacji, gdy pracownicy są heterogeniczni – różnią się produktywnością, która zależy od kwalifikacji pracownika. Prezentowany model pozwala badać przepływy na rynku pracy i ich zależność od takich czynników, jak występowanie i wysokość płacy minimalnej oraz struktura kwalifikacji pracowników. Zastosowanie układów dynamicznych do opisu zagadnienia umożliwia analizę istnienia, charakteru i stabilności równowagi na rynku pracy. Budowa modelu teoretycznego została uzupełniona symulacjami komputerowymi pozwalającymi na stawianie i weryfikowanie hipotez dotyczących dynamiki zatrudnienia i bezrobocia.
EN
The article presents a model of the labor market dynamics with heterogeneous employment structure, e.g. involving workers with different productivity depending on qualifications. This model allows to examine labor market flows and their dependencies on factors such as the minimum wage, whether it is imposed at all, and finally the structure of workers’ qualifications. Using dynamical systems to describe the issue enables the analysis of existence, type and stability of the labor market equilibrium. Construction of the theoretical model has been supplemented by computer simulations allowing for proposing and verifying hypotheses about the dynamics of employment and unemployment.
5
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ZASTOSOWANIE UKŁADÓW DYNAMICZNYCH DO MODELOWANIA PRZEPŁYWU INFORMACJI NA RYNKU PRACY

75%
Wrzosek M.
Metody Ilościowe w Badaniach Ekonomicznych
|
2015
|
vol. 16
|
issue 4
220-229
PL
W pracy prezentowany jest matematyczny model opisujący dynamikę zjawisk na rynku pracy. W modelu tym, zbudowanym w oparciu o teorię układów dynamicznych, kluczowe znaczenie ma wymiana informacji o możliwościach zatrudnienia pomiędzy uczestnikami rynku pracy – bezrobotnymi i zatrudnionymi. Analiza jakościowa zbudowanego modelu dowodzi, że przepływ informacji pomiędzy zatrudnionymi lub pomiędzy bezrobotnymi a zatrudnionymi wpływa w istotny sposób na dynamikę rynku pracy. Oddziaływanie informacyjne pomiędzy uczestnikami rynku może spowodować nagłe zmiany charakteru jego dynamiki oraz przejścia pomiędzy dynamiką cykliczną i niecykliczną.
EN
The article presents a mathematical model of the labor market describing the dynamics of the phenomena in the labor market. In this model, using the theory of dynamical systems, the most important factor is exchange of information on employment opportunities between the participants of the labor market – unemployed and employed. Qualitative analysis of the created model shows that the flow of information between employees or between the unemployed and employed significantly affect the dynamics of the labor market. The impact of information exchange between the participants of the labor market may cause a sudden change in the nature of its dynamics and the transition between cyclic and non-cyclic dynamics.
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