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Janusz Miskiewicz

Publications and source records attributed to Janusz Miskiewicz.

10 recordsLinked to original sources
arXiv2009

Has the world economy reached its globalization limit?

The economy globalization measure problem is discussed. Four macroeconomic indices of twenty among the "richest" countries are examined. Four types of "distances" are calculated.Two types of networks are next constructed for each distance measure definition. It is shown that the globalization process can be best characterised by an entropy measure, based on entropy Manhattan distance. It is observed that a globalization maximum was reached in the interval 1970-2000. More recently a deglobalization process is observed.

physics.data-an↗
arXiv2009

Entropy correlation distance method applied to study correlations between the Gross Domestic Product of rich countries

The Theil index is much used in economy and finance; it looks like the Shannon entropy, but pertains to event values rather than to their probabilities. Any time series can be remapped through the Theil index. Correlation coefficients can be evaluated between the new time series, thereby allowing to study their mutual statistical distance, - to be contrasted to the usual correlation distance measure for the primary time series. As an example this entropy-like correlation distance method (ECDM) is applied to the Gross Domestic Product of 20 rich countries in order to test some economy globalization process. Hierarchical distances allow to construct (i) a linear network, (ii) a Locally Minimal Spanning Tree. The role of time averaging in finite size windows is illustrated and discussed. It is also shown that the mean distance between the most developed countries, was decreasing since 1960 till 2000, - which we consider to be a proof of globalization of the economy for these countries.

physics.data-an↗
arXiv2008

Introducing the q-Theil index

Starting from the idea of Tsallis on non-extensive statistical mechanics and the {\it q-entropy} notion, we recall the Theil index $Th$ and transform it into the $Th_q$ index. Both indices can be used to map onto themselves any time series in a non linear way. We develop an application of the $Th_q$ to the GDP evolution of 20 rich countries in the time interval [1950 - 2003] and search for a proof of globalization of their economies. First we calculate the distances between the "new" time series and to their mean, from which such data simple networks are constructed. We emphasize that it is useful to, and we do, take into account different time "parameters": (i) the moving average time window for the raw time series to calculate the $Th_q$ index; (ii) the moving average time window for calculating the time series distances; (iii) a correlation time lag. This allows us to deduce optimal conditions to measure the features of the network, i.e. the appearance in 1970 of a globalization process in the economy of such countries and the present beginning of deviations. The $q$ value hereby used is that which measures the overall data distribution and is equal to 1.8125.

physics.data-an↗
arXiv2007

The influence of the time delay of information flow on an economy evolution. The stock market analysis

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at the end of the well defined time intervals. The model of a stock market coupled with an economy is investigated and the role of the length of the time delay of information flow investigated. It is shown that increasing the time delay leads to collective behavior of agents and oscillations of autocorrelations in absolute log-returns.

physics.soc-ph↗
arXiv2006

Delayed information flow effect in economy systems. An ACP model study

Applying any strategy requires some knowledge about the past state of the system. Unfortunately in the case of economy collecting information is a difficult, expensive and time consuming process. Therefore the information about the system is known at the end of some well defined intervals, e. g. company reports, inflation data, GDP etc. They describe a (market) situation in the past. The time delay is specific to the market branch. It can be very short (e.g. stock market offer is updated every minute or so and this information is immediately available) or long, like months in the case of agricultural market, when the decisions are taken based on the results from the previous harvest. The analysis of the information flow delay can be based on the ACP model of spatial evolution of economic systems. The entities can move on a square lattice and when meeting take one of the two following decisions: merge or create a new entity. The decision is based on the system state, which is known with some time delay. The effect of system's feedback is investigated. We consider the case of company distribution evolution in a heterogenous field. The information flow time delay implies different final states, including cycles.

physics.data-an↗
arXiv2005

An attempt to observe economy globalization: the cross correlation distance evolution of the top 19 GDP's

Economy correlations between the 19 richest countries are investigated through their Gross Domestic Product increments. A distance is defined between increment correlation matrix elements and their evolution studied as a function of time and time window size. Unidirectional and Bidirectional Minimal Length Paths are generated and analyzed for different time windows. A sort of critical correlation time window is found indicating a transition for best observations. The mean length path decreases with time, indicating stronger correlations. A new method for estimating a realistic minimal time window to observe correlations and deduce macroeconomy conclusions from such features is thus suggested.

physics.data-an↗
arXiv2005

Influence of information flow in the formation of economic cycles

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated. The formation of economic cycles is observed as a function of the time of information delay. Three regions of delay time are recognized: short $t_d \in (2 IS, 4 IS)$ (IS - iteration steps) - the system evolves toward a unique stable equilibrium state, medium $t_d =5 IS $ or $t_d =6 IS $, the system undergoes oscillations: stable concentration cycles appear in the system. For long information flow delay times, $t_d \geq 7$, the systems may crash for most initial concentrations. However, even in the case of long delay time the crash time may be long enough to allow observation of the system evolution and to introduce an appropriate strategy in order to avoid the collapse of the e.g. company concentration. In the long time delay it is also possible to observe an "economy resonance" where despite a long delay time the system evolves for a long time or can even reach a stable state, which insures its existence.

physics.soc-ph↗
arXiv2005

Correlations between the most developed (G7) countries. A moving average window size optimisation

Different distance matrices are defined and applied to look for correlations between the gross domestic product of G7 countries. Results are illustrated through displays obtained from various graph methods. Significant similarities between results are obtained. A procedure for choosing the best distance function is proposed taking into account the size of the window in which correlation are averaged.

physics.soc-ph↗
arXiv2004

The durations of recession and prosperity: does their distribution follow a power or an exponential law?

Following findings by Ormerod and Mounfield, Wright rises the problem whether a power or an exponential law describes the distribution of occurrences of economic recession periods. In order to clarify the controversy a different set of GDP data is hereby examined. The conclusion about a power law distribution of recession periods seems better though the matter is not entirely settled. The case of prosperity duration is also studied and is found to follow a power law. Universal but also non universal features between recession and prosperity cases are emphasized. Considering that the economy is basically a bistable (recession/prosperity) system we may derive a characteristic (de)stabilisation time.

cond-mat.stat-mech↗