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Efficiency ranking of economic growth toward sustainable growth with grey system theory: the case of small countries in advanced and emerging economies Cover

Efficiency ranking of economic growth toward sustainable growth with grey system theory: the case of small countries in advanced and emerging economies

Open Access
|Sep 2023

Figures & Tables

Figure 1.

Graphic presentation of the SEI-EG index for Estonia (2020).
SEI-EG, Synthetic Efficiency Indicator for Economic Growth.
Graphic presentation of the SEI-EG index for Estonia (2020). SEI-EG, Synthetic Efficiency Indicator for Economic Growth.

Matrix of scaled inputs for 2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
r10.9860.5640.8580.5070.2010.3290.4560.6490.9070.2580.8331.000
r20.9250.7820.9200.7060.6680.6700.7690.8420.7740.7940.8931.000
r30.9670.7301.0000.4590.3330.4760.5950.8170.8640.3840.9590.853
r40.4880.0450.9720.1000.0370.0420.0260.8570.6060.0230.8041.000
r50.6370.8630.5990.5470.5800.2741.0000.4670.9150.8870.6130.755
r60.3490.3520.1670.5970.8731.0000.5270.7390.4950.4950.4050.461
r70.7640.6810.8640.6800.6900.6900.7051.0000.7280.6760.8210.881
i10.7400.3771.0000.3690.2900.3310.2640.8540.7950.3150.8050.868
i21.0000.3340.3730.1680.3840.4130.7060.4810.7380.5290.6120.351

Standardized partial efficiency matrix E for 2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
e1$e_1^ * $0.4150.7650.5061.0000.0000.2220.2660.2900.4530.0100.4490.808
e2$e_2^ * $0.0340.7350.2051.0000.6020.4890.3570.1560.0000.5390.1560.390
e3$e_3^ * $0.1781.0000.4790.7000.0690.3250.2800.2760.1910.0000.3900.430
e4$e_4^ * $0.3200.0460.8580.2020.0350.0370.0000.7750.4640.0010.6821.000
e5$e_5^ * $0.0191.0000.1000.7740.5920.0210.7900.0000.2860.8110.0960.312
e6$e_6^ * $0.0650.3060.0000.8090.9611.0000.3450.3530.1640.3800.1340.210
e7$e_7^ * $0.0000.6260.2291.0000.7080.5900.3490.3740.0430.4360.1690.343

SEI-EG index values for all countries analyzed for 2016–2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
SEI-EG20200.0120.3380.1160.6330.1880.1460.0970.0780.0420.0690.0820.234
SEI-EG20190.0050.2610.1150.7140.1490.1220.0620.0570.0280.0540.0550.162
SEI-EG20180.0060.2620.1270.7580.1470.1460.0590.0580.0280.0530.0620.141
SEI-EG20170.0060.2550.1260.7810.1420.1240.0580.0570.0250.0650.0700.118
SEI-EG20160.0080.2360.1390.7540.1460.1360.0500.0550.0240.0630.0780.119

T01

201620172018
1Estonia0.7541Estonia0.7811Estonia0.758
2Czech Rep.0.2362Czech Rep.0.2552Czech Rep.0.262
3Latvia0.1463Latvia0.1423Latvia0.147
4Denmark0.1394Denmark0.1264Lithuania0.146
5Lithuania0.1365Lithuania0.1245Sweden0.141
6Sweden0.1196Sweden0.1186Denmark0.127
7Finland0.0787Finland0.0707Finland0.062
8Slovakia0.0638Slovakia0.0658Hungary0.059
9Netherlands0.0559Hungary0.0589Netherlands0.058
10Hungary0.05010Netherlands0.05710Slovakia0.053
11Austria0.02411Austria0.02511Austria0.028
12Belgium0.00812Belgium0.00612Belgium0.006

T02

20192020
1Estonia0.7141Estonia0.633
2Czech Rep.0.2612Czech Rep.0.338
3Sweden0.1623Sweden0.234
4Latvia0.1494Latvia0.188
5Lithuania0.1225Lithuania0.146
6Denmark0.1156Denmark0.116
7Hungary0.0627Hungary0.097
8Netherlands0.0578Finland0.082
9Finland0.0559Netherlands0.078
10Slovakia0.05410Slovakia0.069
11Austria0.02811Austria0.042
12Belgium0.00512Belgium0.012

Input data matrix for 2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
r13.481.993.031.790.711.161.612.293.20.912.943.53
r254.446.054.141.539.339.445.249.545.546.752.558.8
r32.05481.54972.12420.97460.70681.01171.26461.73611.83590.8152.03651.8121
r4208.5219.26414.9942.8715.7917.8911.18366.14258.619.89343.43427.10
r513.518.312.711.612.35.821.29.919.418.813.016.0
r622.622.810.838.656.564.734.147.832.032.026.229.8
r7107.7120.995.3121.0119.2119.3116.782.3113.0121.8100.393.4
i139,56020,17053,48019,72015,50017,71014,10045,67042,54016,86043,03046,420
i2112.837.742.119.043.346.679.654.383.359.769.039.6

SEI-EG index values for all countries analyzed 2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
SEI-EG0.0120.3380.1160.6330.1880.1460.0970.0780.0420.0690.0820.234

Selected macroeconomic indicators 2020

CountryTotal populationTotal employment From 15 years to 64 years percentage of total populationGDP pc In PPS UE = 100General government gross debtLabor productivity, GDP per person employed
20202020202020202019/2020
Austria8,916,86472.4124.982.3−4.9
Belgium11,538,68464.7119.0112.0−5.4
Denmark5,834,40474.4132.742.2−0.9
Finland5,529,54372.1114.174.8−0.5
Netherlands17,441,50077.8130.554.7−3.4
Sweden10,353,44275.5122.439.5−0.8
Czech Rep.10,697,85874.493.437.7−3.9
Estonia1,329,52273.286.118.52.2
Hungary9,750,14969.774.579.3−3.5
Lithuania2,794,88571.687.646.31.6
Latvia1,900,44971.672.042.00.8
Slovakia5,458,82767.571.858.9−1.5

Partial efficiency matrix E for 2020

o1 (BEL)o2 (CZE)o3 (DEN)o4 (EST)o5 (LAT)o6 (LIT)o7 (HUN)o8 (NET)o9 (AUT)o10 (SLO)o11 (FIN)o12 (SWE)
e10.5670.7920.6250.9440.2990.4420.4710.4860.5910.3050.5880.820
e20.5321.1000.6701.3140.9920.9000.7930.6300.5040.9400.6300.820
e30.5561.0260.7280.8540.4940.6400.6140.6120.5630.4540.6770.700
e40.2810.0630.7080.1870.0550.0560.0270.6420.3950.0270.5680.820
e50.3661.2130.4361.0190.8610.3681.0320.3500.5971.0500.4330.619
e60.2010.4950.1221.1111.2961.3440.5440.5530.3220.5860.2860.378
e70.4390.9570.6291.2661.0250.9270.7280.7490.4750.8000.5790.723
DOI: https://doi.org/10.2478/ijme-2023-0013 | Journal eISSN: 2543-5361 | Journal ISSN: 2299-9701
Language: English
Page range: 183 - 196
Submitted on: Dec 21, 2022
Accepted on: Apr 29, 2023
Published on: Sep 30, 2023
Published by: Warsaw School of Economics
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2023 Marcin Nowak, Małgorzata Kokocińska, published by Warsaw School of Economics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.