The UN Proposal
According to INFUSA, "The square-root method is more than a pragmatic compromise between the extreme methods of world representation unrelated to population size and allocation of national quotas in direct proportion to population size; Penrose showed that in terms of statistical theory the square-root method gives to each voter in the world an equal influence on decision-making in a world assembly".
Under the Penrose method, the relative voting weights of the most populous countries are lower than their proportion of the world population. In the table below, the countries' voting weights are computed as the square root of their year-2005 population in millions. This procedure was originally published by Penrose in 1946 based on pre-World War II population figures.
Population as of 2005 |
Percent of world population |
Voting weight | Percent of total weight |
||
World | 6,434,577,575 | 100.00% | 721.32 | 100.00% | |
Rank | Country | ||||
1 | People's Republic of China | 1,306,313,812 | 20.30% | 36.14 | 5.01% |
2 | India | 1,080,264,388 | 16.79% | 32.87 | 4.56% |
3 | United States | 297,200,000 | 4.62% | 17.24 | 2.39% |
4 | Indonesia | 241,973,879 | 3.76% | 15.56 | 2.16% |
5 | Brazil | 186,112,794 | 2.89% | 13.64 | 1.89% |
6 | Pakistan | 162,419,946 | 2.52% | 12.74 | 1.77% |
7 | Bangladesh | 144,319,628 | 2.24% | 12.01 | 1.67% |
8 | Russia | 143,420,309 | 2.23% | 11.98 | 1.66% |
9 | Nigeria | 128,771,988 | 2.00% | 11.35 | 1.57% |
10 | Japan | 127,417,244 | 1.98% | 11.29 | 1.56% |
11 | Mexico | 106,202,903 | 1.65% | 10.31 | 1.43% |
12 | Philippines | 87,857,473 | 1.37% | 9.37 | 1.30% |
13 | Vietnam | 83,535,576 | 1.30% | 9.14 | 1.27% |
14 | Germany | 82,468,000 | 1.28% | 9.08 | 1.26% |
15 | Egypt | 77,505,756 | 1.20% | 8.80 | 1.22% |
16 | Ethiopia | 73,053,286 | 1.14% | 8.55 | 1.18% |
17 | Turkey | 69,660,559 | 1.08% | 8.35 | 1.16% |
18 | Iran | 68,017,860 | 1.06% | 8.25 | 1.14% |
19 | Thailand | 65,444,371 | 1.02% | 8.09 | 1.12% |
20 | France | 60,656,178 | 0.94% | 7.79 | 1.08% |
21 | United Kingdom | 60,441,457 | 0.94% | 7.77 | 1.08% |
22 | Democratic Republic of the Congo | 60,085,804 | 0.93% | 7.75 | 1.07% |
23 | Italy | 58,103,033 | 0.90% | 7.62 | 1.06% |
24 | South Korea | 48,422,644 | 0.75% | 6.96 | 0.96% |
25 | Ukraine | 47,425,336 | 0.74% | 6.89 | 0.95% |
26 | South Africa | 44,344,136 | 0.69% | 6.66 | 0.92% |
27 | Spain | 43,209,511 | 0.67% | 6.57 | 0.91% |
28 | Colombia | 42,954,279 | 0.67% | 6.55 | 0.91% |
29 | Myanmar | 42,909,464 | 0.67% | 6.55 | 0.91% |
30 | Sudan | 40,187,486 | 0.62% | 6.34 | 0.88% |
31 | Argentina | 39,537,943 | 0.61% | 6.29 | 0.87% |
32 | Poland | 38,635,144 | 0.60% | 6.22 | 0.86% |
33 | Tanzania | 36,766,356 | 0.57% | 6.06 | 0.84% |
34 | Kenya | 33,829,590 | 0.53% | 5.82 | 0.81% |
35 | Canada | 32,400,000 | 0.50% | 5.69 | 0.79% |
36 | Morocco | 32,725,847 | 0.51% | 5.72 | 0.79% |
37 | Algeria | 32,531,853 | 0.51% | 5.70 | 0.79% |
38 | Afghanistan | 29,928,987 | 0.47% | 5.47 | 0.76% |
39 | Peru | 27,925,628 | 0.43% | 5.28 | 0.73% |
40 | Nepal | 27,676,547 | 0.43% | 5.26 | 0.73% |
41 | Uganda | 27,269,482 | 0.42% | 5.22 | 0.72% |
42 | Uzbekistan | 26,851,195 | 0.42% | 5.18 | 0.72% |
43 | Saudi Arabia | 26,417,599 | 0.41% | 5.14 | 0.71% |
44 | Malaysia | 26,207,102 | 0.41% | 5.12 | 0.71% |
45 | Iraq | 26,074,906 | 0.41% | 5.11 | 0.71% |
46 | Venezuela | 25,375,281 | 0.39% | 5.04 | 0.70% |
47 | North Korea | 22,912,177 | 0.36% | 4.79 | 0.66% |
48 | Republic of China | 22,894,384 | 0.36% | 4.78 | 0.66% |
49 | Romania | 22,329,977 | 0.35% | 4.73 | 0.66% |
50 | Ghana | 21,029,853 | 0.33% | 4.59 | 0.64% |
51 | Yemen | 20,727,063 | 0.32% | 4.55 | 0.63% |
52 | Australia | 20,229,800 | 0.31% | 4.50 | 0.62% |
53 | Sri Lanka | 20,064,776 | 0.31% | 4.48 | 0.62% |
54 | Mozambique | 19,406,703 | 0.30% | 4.41 | 0.61% |
55 | Syria | 18,448,752 | 0.29% | 4.30 | 0.60% |
56 | Madagascar | 18,040,341 | 0.28% | 4.25 | 0.59% |
57 | Côte d'Ivoire | 17,298,040 | 0.27% | 4.16 | 0.58% |
58 | Netherlands | 16,407,491 | 0.25% | 4.05 | 0.56% |
59 | Cameroon | 16,380,005 | 0.25% | 4.05 | 0.56% |
60 | Chile | 16,267,278 | 0.25% | 4.03 | 0.56% |
61 | Kazakhstan | 15,185,844 | 0.24% | 3.90 | 0.54% |
62 | Guatemala | 14,655,189 | 0.23% | 3.83 | 0.53% |
63 | Burkina Faso | 13,925,313 | 0.22% | 3.73 | 0.52% |
64 | Cambodia | 13,607,069 | 0.21% | 3.69 | 0.51% |
65 | Ecuador | 13,363,593 | 0.21% | 3.66 | 0.51% |
66 | Zimbabwe | 12,746,990 | 0.20% | 3.57 | 0.49% |
67 | Mali | 12,291,529 | 0.19% | 3.51 | 0.49% |
68 | Malawi | 12,158,924 | 0.19% | 3.49 | 0.48% |
69 | Niger | 11,665,937 | 0.18% | 3.42 | 0.47% |
70 | Cuba | 11,346,670 | 0.18% | 3.37 | 0.47% |
71 | Zambia | 11,261,795 | 0.18% | 3.36 | 0.47% |
72 | Angola | 11,190,786 | 0.17% | 3.35 | 0.46% |
73 | Senegal | 11,126,832 | 0.17% | 3.34 | 0.46% |
74 | Serbia and Montenegro | 10,829,175 | 0.17% | 3.29 | 0.46% |
75 | Greece | 10,668,354 | 0.17% | 3.27 | 0.45% |
76 | Portugal | 10,566,212 | 0.16% | 3.25 | 0.45% |
77 | Belgium | 10,364,388 | 0.16% | 3.22 | 0.45% |
78 | Belarus | 10,300,483 | 0.16% | 3.21 | 0.44% |
79 | Czech Republic | 10,241,138 | 0.16% | 3.20 | 0.44% |
80 | Hungary | 10,081,000 | 0.16% | 3.18 | 0.44% |
81 | Tunisia | 10,074,951 | 0.16% | 3.17 | 0.44% |
82 | Chad | 9,826,419 | 0.15% | 3.13 | 0.43% |
83 | Guinea | 9,467,866 | 0.15% | 3.08 | 0.43% |
84 | Sweden | 9,001,774 | 0.14% | 3.00 | 0.42% |
85 | Dominican Republic | 8,950,034 | 0.14% | 2.99 | 0.41% |
86 | Bolivia | 8,857,870 | 0.14% | 2.98 | 0.41% |
87 | Somalia | 8,591,629 | 0.13% | 2.93 | 0.41% |
88 | Rwanda | 8,440,820 | 0.13% | 2.91 | 0.40% |
89 | Austria | 8,184,691 | 0.13% | 2.86 | 0.40% |
90 | Haiti | 8,121,622 | 0.13% | 2.85 | 0.40% |
91 | Azerbaijan | 7,911,974 | 0.12% | 2.81 | 0.39% |
92 | Switzerland | 7,489,370 | 0.12% | 2.74 | 0.38% |
93 | Benin | 7,460,025 | 0.12% | 2.73 | 0.38% |
94 | Bulgaria | 7,450,349 | 0.12% | 2.73 | 0.38% |
95 | Tajikistan | 7,163,506 | 0.11% | 2.68 | 0.37% |
96 | Honduras | 6,975,204 | 0.11% | 2.64 | 0.37% |
97 | Israel | 6,955,000 | 0.11% | 2.64 | 0.37% |
98 | El Salvador | 6,704,932 | 0.10% | 2.59 | 0.36% |
99 | Burundi | 6,370,609 | 0.10% | 2.52 | 0.35% |
100 | Paraguay | 6,347,884 | 0.10% | 2.52 | 0.35% |
101 | Laos | 6,217,141 | 0.10% | 2.49 | 0.35% |
102 | Sierra Leone | 6,017,643 | 0.09% | 2.45 | 0.34% |
103 | Libya | 5,765,563 | 0.09% | 2.40 | 0.33% |
104 | Jordan | 5,759,732 | 0.09% | 2.40 | 0.33% |
105 | Togo | 5,681,519 | 0.09% | 2.38 | 0.33% |
106 | Papua New Guinea | 5,545,268 | 0.09% | 2.35 | 0.33% |
107 | Nicaragua | 5,465,100 | 0.08% | 2.34 | 0.32% |
108 | Denmark | 5,432,335 | 0.08% | 2.33 | 0.32% |
109 | Slovakia | 5,431,363 | 0.08% | 2.33 | 0.32% |
110 | Finland | 5,223,442 | 0.08% | 2.29 | 0.32% |
111 | Kyrgyzstan | 5,146,281 | 0.08% | 2.27 | 0.31% |
112 | Turkmenistan | 4,952,081 | 0.08% | 2.23 | 0.31% |
113 | Georgia | 4,677,401 | 0.07% | 2.16 | 0.30% |
114 | Norway | 4,593,041 | 0.07% | 2.14 | 0.30% |
115 | Eritrea | 4,561,599 | 0.07% | 2.14 | 0.30% |
116 | Croatia | 4,495,904 | 0.07% | 2.12 | 0.29% |
117 | Moldova | 4,455,421 | 0.07% | 2.11 | 0.29% |
118 | Singapore | 4,425,720 | 0.07% | 2.10 | 0.29% |
119 | Ireland | 4,130,700 | 0.06% | 2.03 | 0.28% |
120 | New Zealand | 4,098,200 | 0.06% | 2.02 | 0.28% |
121 | Bosnia and Herzegovina | 4,025,476 | 0.06% | 2.01 | 0.28% |
122 | Costa Rica | 4,016,173 | 0.06% | 2.00 | 0.28% |
123 | Lebanon | 3,826,018 | 0.06% | 1.96 | 0.27% |
124 | Central African Republic | 3,799,897 | 0.06% | 1.95 | 0.27% |
125 | Lithuania | 3,596,617 | 0.06% | 1.90 | 0.26% |
126 | Albania | 3,563,112 | 0.06% | 1.89 | 0.26% |
127 | Liberia | 3,482,211 | 0.05% | 1.87 | 0.26% |
128 | Uruguay | 3,415,920 | 0.05% | 1.85 | 0.26% |
129 | Mauritania | 3,086,859 | 0.05% | 1.76 | 0.24% |
130 | Panama | 3,039,150 | 0.05% | 1.74 | 0.24% |
131 | Republic of the Congo | 3,039,126 | 0.05% | 1.74 | 0.24% |
132 | Oman | 3,001,583 | 0.05% | 1.73 | 0.24% |
133 | Armenia | 2,982,904 | 0.05% | 1.73 | 0.24% |
134 | Mongolia | 2,791,272 | 0.04% | 1.67 | 0.23% |
135 | Jamaica | 2,731,832 | 0.04% | 1.65 | 0.23% |
136 | United Arab Emirates | 2,563,212 | 0.04% | 1.60 | 0.22% |
137 | Kuwait | 2,335,648 | 0.04% | 1.53 | 0.21% |
138 | Latvia | 2,290,237 | 0.04% | 1.51 | 0.21% |
139 | Bhutan | 2,232,291 | 0.03% | 1.49 | 0.21% |
140 | Macedonia | 2,045,262 | 0.03% | 1.43 | 0.20% |
141 | Namibia | 2,030,692 | 0.03% | 1.43 | 0.20% |
142 | Slovenia | 2,011,070 | 0.03% | 1.42 | 0.20% |
143 | Lesotho | 1,867,035 | 0.03% | 1.37 | 0.19% |
144 | Botswana | 1,640,115 | 0.03% | 1.28 | 0.18% |
145 | The Gambia | 1,593,256 | 0.02% | 1.26 | 0.17% |
146 | Guinea-Bissau | 1,416,027 | 0.02% | 1.19 | 0.16% |
147 | Gabon | 1,389,201 | 0.02% | 1.18 | 0.16% |
148 | Estonia | 1,332,893 | 0.02% | 1.15 | 0.16% |
149 | Mauritius | 1,230,602 | 0.02% | 1.11 | 0.15% |
150 | Swaziland | 1,173,900 | 0.02% | 1.08 | 0.15% |
151 | Trinidad and Tobago | 1,088,644 | 0.02% | 1.04 | 0.14% |
152 | East Timor | 1,040,880 | 0.02% | 1.02 | 0.14% |
153 | Fiji | 893,354 | 0.01% | 0.95 | 0.13% |
154 | Qatar | 863,051 | 0.01% | 0.93 | 0.13% |
155 | Cyprus | 780,133 | 0.01% | 0.88 | 0.12% |
156 | Guyana | 765,283 | 0.01% | 0.87 | 0.12% |
157 | Bahrain | 688,345 | 0.01% | 0.83 | 0.12% |
158 | Comoros | 671,247 | 0.01% | 0.82 | 0.11% |
159 | Solomon Islands | 538,032 | 0.01% | 0.73 | 0.10% |
160 | Equatorial Guinea | 535,881 | 0.01% | 0.73 | 0.10% |
161 | Djibouti | 476,703 | 0.01% | 0.69 | 0.10% |
162 | Luxembourg | 468,571 | 0.01% | 0.68 | 0.09% |
163 | Suriname | 438,144 | 0.01% | 0.66 | 0.09% |
164 | Cape Verde | 418,224 | 0.01% | 0.65 | 0.09% |
165 | Malta | 398,534 | 0.01% | 0.63 | 0.09% |
166 | Brunei | 372,361 | 0.01% | 0.61 | 0.08% |
167 | Maldives | 349,106 | 0.01% | 0.59 | 0.08% |
168 | The Bahamas | 301,790 | 0.005% | 0.55 | 0.08% |
169 | Iceland | 296,737 | 0.005% | 0.54 | 0.08% |
170 | Belize | 279,457 | 0.004% | 0.53 | 0.07% |
171 | Barbados | 279,254 | 0.004% | 0.53 | 0.07% |
172 | Vanuatu | 205,754 | 0.003% | 0.45 | 0.06% |
173 | São Tomé and Príncipe | 187,410 | 0.003% | 0.43 | 0.06% |
174 | Samoa | 177,287 | 0.003% | 0.42 | 0.06% |
175 | Saint Lucia | 166,312 | 0.003% | 0.41 | 0.06% |
176 | Saint Vincent and the Grenadines | 117,534 | 0.002% | 0.34 | 0.05% |
177 | Tonga | 112,422 | 0.002% | 0.34 | 0.05% |
178 | Federated States of Micronesia | 108,105 | 0.002% | 0.33 | 0.05% |
179 | Kiribati | 103,092 | 0.002% | 0.32 | 0.04% |
180 | Grenada | 89,502 | 0.001% | 0.30 | 0.04% |
181 | Seychelles | 81,188 | 0.001% | 0.28 | 0.04% |
182 | Andorra | 70,549 | 0.001% | 0.27 | 0.04% |
183 | Dominica | 69,029 | 0.001% | 0.26 | 0.04% |
184 | Antigua and Barbuda | 68,722 | 0.001% | 0.26 | 0.04% |
185 | Marshall Islands | 59,071 | 0.001% | 0.24 | 0.03% |
186 | Saint Kitts and Nevis | 38,958 | 0.001% | 0.20 | 0.03% |
187 | Liechtenstein | 33,717 | 0.001% | 0.18 | 0.03% |
188 | Monaco | 32,409 | 0.001% | 0.18 | 0.02% |
189 | San Marino | 28,880 | 0.0004% | 0.17 | 0.02% |
190 | Palau | 20,303 | 0.0003% | 0.14 | 0.02% |
191 | Nauru | 13,048 | 0.0002% | 0.11 | 0.02% |
192 | Tuvalu | 11,636 | 0.0002% | 0.11 | 0.01% |
193 | Vatican City | 921 | 0.00001% | 0.03 | 0.004% |
Read more about this topic: Penrose Method
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