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, : |
Total number of countries and products |
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: |
Binary matrix with element if country c is a competitive country in exporting product p; otherwise; export competitiveness is estimated by means of export volumes |
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, : |
Fitness of country c and quality (complexity) of product p at the fixed point |
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: |
Inverse of the quality of product p; it is a sort of product “simplicity” () |
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: |
Inhomogeneous parameter; this parameter is crucial in achieving a stable algorithm to evaluate the metrics; it will be eventually let go to 0 to get a parameter free metric |
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: |
Rescaled versions of the corresponding un-tilded quantities: , ; these quantities do not depend on as soon as and are better suited to represent fitness and complexity rather than the un-tilded ones |
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: |
Similar to the complexity above, but for the new metrics calculated with the inhomogeneous algorithm:
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: |
Coproduction matrix with element equal to the number of the same products exported by countries c and ;
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: |
Diversification of country c, i.e., the number of products the country c is competitive in exporting |
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: |
Inefficiency of country c defined as ; it represents the fitness penalty resulting from exporting goods that are also exported by other countries |
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: |
Net-efficiency of country c; it is a de-trended version of the inefficiency; in the dataset considered ; it represents how effectively a country diversifies its exported goods by focusing on products not exported by others, which are usually among the most complex ones |