# A Markovian model of evolving world input-output network

@article{Moosavi2017AMM, title={A Markovian model of evolving world input-output network}, author={Vahid Moosavi}, journal={PLoS ONE}, year={2017}, volume={12} }

The initial theoretical connections between Leontief input-output models and Markov chains were established back in 1950s. However, considering the wide variety of mathematical properties of Markov chains, so far there has not been a full investigation of evolving world economic networks with Markov chain formalism. In this work, using the recently available world input-output database, we investigated the evolution of the world economic network from 1995 to 2011 through analysis of a time…

## Figures and Tables from this paper

## 12 Citations

### On the Structure of the World Economy: An Absorbing Markov Chain Approach

- EconomicsEntropy
- 2020

Results reveal that both the input and output chains exhibit the same quasi-stationary product distribution, and the expected proportion of time spent in a state before absorption is invariant to changes of the network type.

### Leontief Meets Markov: Sectoral Vulnerabilities Through Circular Connectivity

- EconomicsNetworks and Spatial Economics
- 2021

Traversing from the most central to the most peripheral sector of the economy in 60 countries between 2005 and 2015, it is uncovered cross-country salient roles for certain industries, pervasive features of structural change and (dis)similarities between national economies, in terms of their sectoral vulnerabilities.

### Taming out-of-equilibrium dynamics on interconnected networks

- Materials ScienceNature Communications
- 2019

A new methodology to describe, anticipate and manage, in real time, the out-of-equilibrium dynamics of processes that evolve on interconnected networks to mimic real-world interconnected networks is proposed.

### StationRank: Aggregate dynamics of the Swiss railway

- Computer SciencePloS one
- 2020

This work introduces a method for building Markov Chains from aggregated daily streams of railway traffic data and makes a key assumption that train routes constitute meaningful sequences analogous to sentences of literary text.

### Predicting the Albanian economic development using multivariate Markov chain model

- Economics
- 2020

In this work, the economic development and relation to social and demography indices in Albania were studied. Four time series (yearly data for the period 1995–2018) were considered: consumer price…

### Communities in world input-output network: Robustness and rankings

- EconomicsPloS one
- 2022

We introduce a method for assessing the robustness of community detection and apply it to a world input-output network (WION) to obtain economically plausible results. This method enabled us to rank…

### Complete multipartite graphs and Braess edges

- MathematicsLinear Algebra and its Applications
- 2019

### Emergence of complex socioeconomic networks driven by individual and collective interests

- Environmental SciencePhysical Review Research
- 2020

Jaime Iranzo ,1,2 Federico Pablo-Martí ,3 and Jacobo Aguirre 4,5,6,* 1Centro de Biotecnología y Genómica de Plantas, Universidad Politécnica de Madrid (UPM)–Instituto Nacional de Investigación y…

### Measure the Global Impact of Industrial Sectors

- EconomicsComplex Network-Based Global Value Chain Accounting System
- 2022

## References

SHOWING 1-10 OF 36 REFERENCES

### World Input-Output Network

- EconomicsPloS one
- 2015

This work analyzes the global, regional, and local network properties of the so-called world input-output network (WION) and document its evolution over time and finds that the network-based measures such as PageRank centrality and community coreness measure can give valuable insights into identifying the key industries.

### The Heterogeneous Dynamics of Economic Complexity

- EconomicsPloS one
- 2015

It is argued that a recently introduced non-monetary metrics for country competitiveness (fitness) allows for quantifying the hidden growth potential of countries by the means of the comparison of this measure for intangible assets with monetary figures, such as GDP per capita.

### The building blocks of economic complexity

- EconomicsProceedings of the National Academy of Sciences
- 2009

It is shown that it is possible to quantify the complexity of a country's economy by characterizing the structure of this bipartite network in which countries are connected to the products they export, and that deviations from this relationship are predictive of future growth.

### Global Value Trees

- EconomicsPloS one
- 2015

It is found that the industry-level GVCs are indeed not chain-like but are better characterized by the tree topology, and the global value trees (GVTs) for all the industries available in the WIOD are computed.

### Embodied Resource Flows and Product Flows

- Economics
- 2010

We develop the absorbing Markov chain (AMC) for describing in detail the network of paths through an industrial system taken by an embodied resource from extraction through intermediate products and,…

### A Google-like model of road network dynamics and its application to regulation and control

- Computer ScienceInt. J. Control
- 2011

Markov chain theory and spectral analysis of the transition matrix are shown to reveal non-evident properties of the underlying road network and to correctly predict consequences of road network modifications.

### Algorithms for sensitivity analysis of Markov systems through potentials and perturbation realization

- MathematicsIEEE Trans. Control. Syst. Technol.
- 1998

These algorithms are readily applicable to the control and optimization of these Markov systems, since they are based on analyzing a single sample path and do not need explicit specification of transition matrices, nor infinitesimal generators.

### Markov chains and mixing times

- Mathematics
- 2013

For our purposes, a Markov chain is a (finite or countable) collection of states S and transition probabilities pij, where i, j ∈ S. We write P = [pij] for the matrix of transition probabilities.…

### A New Metrics for Countries' Fitness and Products' Complexity

- EconomicsScientific reports
- 2012

It is shown that a non-linear iteration is necessary to bound the complexity of products by the fitness of the less competitive countries exporting them, and the correct and simplest approach to measure the competitiveness of countries is the one presented in this work.