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The social welfare function, proposed by Amartya Sen in 1973, is a measure of a society's overall welfare calculated as the product of GDP per capita and the difference between 1 and the society's gini coefficient:

W_\mathrm{Gini} = \overline{\text{Income}} \cdot \left( 1-G \right)

The table below shows Sen's social welfare function using data from the CIA and another version using data from the IMF and UN. The GDP per capita numbers are adjusted for purchasing power parity.

Country IMFgdpPC CIAgdpPC UN_gini CIA_gini SenIMF_UN Sen_CIA
Zimbabwe 188 200 0.501 0.568 93.81 86.4
Burundi 372 300 0.424 0.424 214.27 172.8
Sierra Leone 693 600 0.629 0.629 257.1 222.6
Central African Republic 726 700 0.613 0.613 280.96 270.9
Niger 667 700 0.505 0.505 330.17 346.5
Mozambique 843 800 0.473 0.473 444.26 421.6
Rwanda 899 800 0.468 0.468 478.27 425.6
Madagascar 979 900 0.475 0.475 513.98 472.5
Malawi 793 800 0.390 0.390 483.73 488
Ethiopia 807 700 0.300 0.300 564.9 490
Lesotho 1286 1400 0.632 0.632 473.25 515.2
Nepal 1078 1000 0.472 0.472 569.18 528
Haiti 1292 1300 0.592 0.592 527.14 530.4
Uganda 1059 1000 0.457 0.457 575.04 543
Mali 1038 1100 0.401 0.401 621.76 658.9
Guinea 974 1100 0.386 0.381 598.04 680.9
Zambia 1323 1400 0.508 0.508 650.92 688.8
Burkina Faso 1206 1200 0.395 0.395 729.63 726
Ghana 1426 1400 0.408 0.408 844.19 828.8
Tanzania 1256 1300 0.346 0.346 821.42 850.2
Benin 1548 1400 0.365 0.365 982.98 889
Bangladesh 1311 1400 0.334 0.334 873.13 932.4
Cote d'Ivoire 1737 1700 0.446 0.446 962.3 941.8
Kenya 1673 1700 0.425 0.445 961.98 943.5
Senegal 1692 1700 0.413 0.413 993.2 997.9
Papua New Guinea 1974 2100 0.509 0.509 969.23 1031.1
Tajikistan 1843 1600 0.326 0.326 1242.18 1078.4
Mauritania 2011 1800 0.390 0.390 1226.71 1098
Cambodia 1818 1900 0.417 0.417 1059.89 1107.7
Nigeria 2028 2100 0.437 0.437 1141.76 1182.3
Cameroon 2094 2200 0.446 0.446 1160.08 1218.8
Laos 2054 2000 0.346 0.346 1343.32 1308
Kyrgyzstan 2000 2000 0.303 0.303 1394 1394
Uzbekistan 2390 2400 0.368 0.368 1510.48 1516.8
Namibia 5250 5200 0.743 0.707 1349.25 1523.6
Moldova 2897 2300 0.332 0.332 1935.2 1536.4
Timor-Leste 2506 2500 0.380 1550
Nicaragua 2629 2800 0.431 0.431 1495.9 1593.2
Vietnam 2589 2600 0.344 0.370 1698.38 1638
India 2563 2600 0.368 0.368 1619.82 1643.2
Paraguay 4510 4000 0.584 0.584 1876.16 1664
Yemen 2343 2500 0.334 0.334 1560.44 1665
Pakistan 2594 2400 0.306 0.306 1800.24 1665.6
Philippines 3383 3200 0.445 0.445 1877.57 1776
Bolivia 4084 4400 0.601 0.592 1629.52 1795.2
Mongolia 3222 2900 0.328 0.328 2165.18 1948.8
Honduras 4085 4300 0.538 0.538 1887.27 1986.6
Sri Lanka 4265 4000 0.402 0.500 2550.47 2000
Guyana 3841 3700 0.432 2101.6
Morocco 4094 3700 0.395 0.400 2476.87 2220
Guatemala 4702 5100 0.551 0.551 2111.2 2289.9
Indonesia 3728 3600 0.343 0.363 2449.3 2293.2
Swaziland 5401 4700 0.504 0.504 2678.9 2331.2
Georgia 4694 4400 0.404 0.404 2797.62 2622.4
El Salvador 5847 6000 0.524 0.524 2783.17 2856
Jordan 4906 4700 0.388 0.388 3002.47 2876.4
Turkmenistan 5172 5300 0.408 0.408 3061.82 3137.6
Dominican Republic 8116 6600 0.516 0.516 3928.14 3194.4
Egypt 5495 5000 0.344 0.344 3604.72 3280
Colombia 7968 7400 0.586 0.538 3298.75 3418.8
Armenia 4946 5800 0.338 0.410 3274.25 3422
Peru 7809 7600 0.520 0.520 3748.32 3648
Ecuador 7242 7200 0.536 0.460 3360.29 3888
Jamaica 7688 7400 0.455 0.455 4189.96 4033
South Africa 9767 9700 0.578 0.578 4121.67 4093.4
Brazil 9703 9500 0.570 0.567 4172.29 4113.5
Albania 6298 5800 0.311 0.267 4339.32 4251.4
Algeria 6539 6700 0.353 0.353 4230.73 4334.9
Tunisia 7535 7400 0.398 0.400 4536.07 4440
Bosnia and Herzegovina 7074 6100 0.262 0.262 5220.61 4501.8
Thailand 7907 8000 0.420 0.420 4586.06 4640
Panama 10351 10700 0.561 0.561 4544.09 4697.3
Ukraine 6968 7000 0.281 0.310 5009.99 4830
Azerbaijan 7618 8000 0.365 0.365 4837.43 5080
Botswana 16516 14300 0.605 0.630 6523.82 5291
Costa Rica 10358 11100 0.498 0.498 5199.72 5572.2
Uruguay 11674 10800 0.449 0.452 6432.37 5918.4
Chile 13921 14300 0.549 0.549 6278.37 6449.3
Venezuela 12176 12800 0.482 0.482 6307.17 6630.4
Iran 10570 11700 0.430 0.430 6024.9 6669
Argentina 13318 13100 0.513 0.490 6485.87 6681
Mexico 14120 12400 0.461 0.461 7610.68 6683.6
Turkey 12858 12000 0.436 0.436 7251.91 6768
Mauritius 11126 11300 0.370 7119
Kazakhstan 10837 11000 0.339 0.339 7163.26 7271
Serbia 10071 10400 0.300 7280
Belarus 10949 10600 0.297 0.297 7697.15 7451.8
Romania 11401 11100 0.310 0.310 7866.69 7659
Malaysia 13385 14500 0.492 0.461 6799.58 7815.5
Bulgaria 11311 11800 0.292 0.316 8008.19 8071.2
Russia 14705 14800 0.399 0.410 8837.71 8732
Poland 16316 16200 0.345 0.360 10686.98 10368
Lithuania 17733 16800 0.360 0.360 11349.12 10752
Croatia 15532 15500 0.290 0.290 11027.72 11005
Latvia 17488 17700 0.377 0.377 10895.02 11027.1
Portugal 21779 21800 0.385 0.380 13394.09 13516
Hungary 19020 19300 0.269 0.280 13903.62 13896
Estonia 20584 21800 0.358 0.340 13214.93 14388
Slovakia 20268 20200 0.258 0.260 15038.86 14948
Israel 27147 26600 0.392 0.386 16505.38 16332.4
Malta 23026 23400 0.280 16848
New Zealand 26611 27200 0.362 0.362 16977.82 17353.6
Czech Republic 24229 24500 0.254 0.260 18074.83 18130
Cyprus 27171 27100 0.290 19241
Hong Kong 42124 42000 0.434 0.523 23842.18 20034
Greece 29146 30600 0.343 0.330 19148.92 20502
Italy 30365 30900 0.360 0.330 19433.6 20703
Japan 33596 33500 0.249 0.381 25230.6 20736.5
Slovenia 27227 28000 0.284 0.240 19494.53 21280
Spain 30118 33600 0.347 0.320 19667.05 22848
United Kingdom 35634 35000 0.360 0.340 22805.76 23100
France 33509 32600 0.327 0.280 22551.56 23472
Australia 36226 37300 0.352 0.352 23474.45 24170.4
Germany 34212 34100 0.283 0.280 24530 24552
United States 45725 45800 0.408 0.450 27069.2 25190
Belgium 35388 36200 0.330 0.280 23709.96 26064
Canada 38614 38600 0.326 0.321 26025.84 26209.4
Switzerland 41265 40100 0.337 0.337 27358.7 26586.3
Finland 35349 36000 0.269 0.260 25840.12 26640
Netherlands 38995 39000 0.309 0.309 26945.55 26949
Denmark 37265 37200 0.247 0.240 28060.55 28272
Singapore 49754 49900 0.425 0.425 28608.55 28692.5
Sweden 36578 37500 0.250 0.230 27433.5 28875
Austria 38181 39300 0.291 0.260 27070.33 29082
Iceland 39168 40400 0.250 30300
Ireland 43414 46600 0.343 0.320 28523 31688
Norway 53152 53300 0.258 0.280 39438.78 38376
Luxembourg 79660 79400 0.260 58756
Guinea-Bissau 484 600 0.470 256.52
Trinidad and Tobago 18385 25400 0.389 11233.24
Retrieved from "http://en.wikipedia.org/wiki/List_of_countries_by_Sen_social_welfare_function"
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