List of countries by Sen social welfare function

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

188

200

0.501

0.568

93.81

86.4

372

300

0.424

0.424

214.27

172.8

693

600

0.629

0.629

257.1

222.6

726

700

0.613

0.613

280.96

270.9

667

700

0.505

0.505

330.17

346.5

843

800

0.473

0.473

444.26

421.6

899

800

0.468

0.468

478.27

425.6

979

900

0.475

0.475

513.98

472.5

793

800

0.390

0.390

483.73

488

807

700

0.300

0.300

564.9

490

1286

1400

0.632

0.632

473.25

515.2

1078

1000

0.472

0.472

569.18

528

1292

1300

0.592

0.592

527.14

530.4

1059

1000

0.457

0.457

575.04

543

1038

1100

0.401

0.401

621.76

658.9

974

1100

0.386

0.381

598.04

680.9

1323

1400

0.508

0.508

650.92

688.8

1206

1200

0.395

0.395

729.63

726

1426

1400

0.408

0.408

844.19

828.8

1256

1300

0.346

0.346

821.42

850.2

1548

1400

0.365

0.365

982.98

889

1311

1400

0.334

0.334

873.13

932.4

1737

1700

0.446

0.446

962.3

941.8

1673

1700

0.425

0.445

961.98

943.5

1692

1700

0.413

0.413

993.2

997.9

1974

2100

0.509

0.509

969.23

1031.1

1843

1600

0.326

0.326

1242.18

1078.4

2011

1800

0.390

0.390

1226.71

1098

1818

1900

0.417

0.417

1059.89

1107.7

2028

2100

0.437

0.437

1141.76

1182.3

2094

2200

0.446

0.446

1160.08

1218.8

2054

2000

0.346

0.346

1343.32

1308

2000

2000

0.303

0.303

1394

1394

2390

2400

0.368

0.368

1510.48

1516.8

5250

5200

0.743

0.707

1349.25

1523.6

2897

2300

0.332

0.332

1935.2

1536.4

2506

2500

0.380

1550

2629

2800

0.431

0.431

1495.9

1593.2

2589

2600

0.344

0.370

1698.38

1638

2563

2600

0.368

0.368

1619.82

1643.2

4510

4000

0.584

0.584

1876.16

1664

2343

2500

0.334

0.334

1560.44

1665

2594

2400

0.306

0.306

1800.24

1665.6

3383

3200

0.445

0.445

1877.57

1776

4084

4400

0.601

0.592

1629.52

1795.2

3222

2900

0.328

0.328

2165.18

1948.8

4085

4300

0.538

0.538

1887.27

1986.6

4265

4000

0.402

0.500

2550.47

2000

3841

3700

0.432

2101.6

4094

3700

0.395

0.400

2476.87

2220

4702

5100

0.551

0.551

2111.2

2289.9

3728

3600

0.343

0.363

2449.3

2293.2

5401

4700

0.504

0.504

2678.9

2331.2

4694

4400

0.404

0.404

2797.62

2622.4

5847

6000

0.524

0.524

2783.17

2856

4906

4700

0.388

0.388

3002.47

2876.4

5172

5300

0.408

0.408

3061.82

3137.6

8116

6600

0.516

0.516

3928.14

3194.4

5495

5000

0.344

0.344

3604.72

3280

7968

7400

0.586

0.538

3298.75

3418.8

4946

5800

0.338

0.410

3274.25

3422

7809

7600

0.520

0.520

3748.32

3648

7242

7200

0.536

0.460

3360.29

3888

7688

7400

0.455

0.455

4189.96

4033

9767

9700

0.578

0.578

4121.67

4093.4

9703

9500

0.570

0.567

4172.29

4113.5

6298

5800

0.311

0.267

4339.32

4251.4

6539

6700

0.353

0.353

4230.73

4334.9

7535

7400

0.398

0.400

4536.07

4440

7074

6100

0.262

0.262

5220.61

4501.8

7907

8000

0.420

0.420

4586.06

4640

10351

10700

0.561

0.561

4544.09

4697.3

6968

7000

0.281

0.310

5009.99

4830

7618

8000

0.365

0.365

4837.43

5080

16516

14300

0.605

0.630

6523.82

5291

10358

11100

0.498

0.498

5199.72

5572.2

11674

10800

0.449

0.452

6432.37

5918.4

13921

14300

0.549

0.549

6278.37

6449.3

12176

12800

0.482

0.482

6307.17

6630.4

10570

11700

0.430

0.430

6024.9

6669

13318

13100

0.513

0.490

6485.87

6681

14120

12400

0.461

0.461

7610.68

6683.6

12858

12000

0.436

0.436

7251.91

6768

11126

11300

0.370

7119

10837

11000

0.339

0.339

7163.26

7271

10071

10400

0.300

7280

10949

10600

0.297

0.297

7697.15

7451.8

11401

11100

0.310

0.310

7866.69

7659

13385

14500

0.492

0.461

6799.58

7815.5

11311

11800

0.292

0.316

8008.19

8071.2

14705

14800

0.399

0.410

8837.71

8732

16316

16200

0.345

0.360

10686.98

10368

17733

16800

0.360

0.360

11349.12

10752

15532

15500

0.290

0.290

11027.72

11005

17488

17700

0.377

0.377

10895.02

11027.1

21779

21800

0.385

0.380

13394.09

13516

19020

19300

0.269

0.280

13903.62

13896

20584

21800

0.358

0.340

13214.93

14388

20268

20200

0.258

0.260

15038.86

14948

27147

26600

0.392

0.386

16505.38

16332.4

23026

23400

0.280

16848

26611

27200

0.362

0.362

16977.82

17353.6

24229

24500

0.254

0.260

18074.83

18130

27171

27100

0.290

19241

42124

42000

0.434

0.523

23842.18

20034

29146

30600

0.343

0.330

19148.92

20502

30365

30900

0.360

0.330

19433.6

20703

33596

33500

0.249

0.381

25230.6

20736.5

27227

28000

0.284

0.240

19494.53

21280

30118

33600

0.347

0.320

19667.05

22848

35634

35000

0.360

0.340

22805.76

23100

33509

32600

0.327

0.280

22551.56

23472

36226

37300

0.352

0.352

23474.45

24170.4

34212

34100

0.283

0.280

24530

24552

45725

45800

0.408

0.450

27069.2

25190

35388

36200

0.330

0.280

23709.96

26064

38614

38600

0.326

0.321

26025.84

26209.4

41265

40100

0.337

0.337

27358.7

26586.3

35349

36000

0.269

0.260

25840.12

26640

38995

39000

0.309

0.309

26945.55

26949

37265

37200

0.247

0.240

28060.55

28272

49754

49900

0.425

0.425

28608.55

28692.5

36578

37500

0.250

0.230

27433.5

28875

38181

39300

0.291

0.260

27070.33

29082

39168

40400

0.250

30300

43414

46600

0.343

0.320

28523

31688

53152

53300

0.258

0.280

39438.78

38376

79660

79400

0.260

58756

484

600

0.470

256.52

18385

25400

0.389

11233.24