Dear citizens of the world,
In my previous post, I introduced the following equation for deciding how many seats a constituency should get in an assembly:
+ SQRT(160000 p n / SUM(p,...p[n] n^2 ))
SQRT( (160000 * 303158700 * 221) / (6671226000 * 221^2) )
SQRT( (160000 * 13194700 * 221) / (48245198 * 221^2) ) =
SQRT( 10719691632000000 / 325829349066000) +
SQRT( 466564592000000 / 2356343715518 ) =
SQRT( 32.8997 ) + SQRT ( 198.0036) =
Plugging in the numbers for the previously listed countries we get:
U.S. - 19.8072
China - 18.2816
India - 14.6998
Germany - 9.6025
Brazil - 8.4873
Russia - 7.7682
Nigeria - 5.3311
Iran - 4.6067
Egypt - 4.1318
Sweden - 3.3982
Guinea - 1.2255
Luxembourg - 1.0143
Suriname - 0.4010
Tuvalu - 0.0481
Based on this sample, it would seem that the algorithm I propose using for distributing power in a global assembly strikes a balance between the status quo and emerging changes. China and the U.S. receive nearly equal votes, meeting current expectations within the international community. It is also important to note that the power distribution would be automatically redistributed as new powers like India fulfill their potential.
At the same time, since a nation's power grows at exponentially smaller degrees as it grows larger, smaller nations retain appropriate leverage in the global assembly.
It does however become appearant that the European Union will wield great power in the assembly since each member country is assigned its own power. Counting only Germany and Sweden (2 of the EU's 27 members), the EU would already have a weight in the assembly of over 13. Whether this is appropriate or not depends on how cohesive a political unit the EU is. If we consider the EU to be tightly integrated in its international politics, the problem can be easily resolved by assigning weight not to the EU's individual members but the EU as a whole. We would treat it as a true federation with a common international agenda. In this case, the EU would get a weight of 22.1370, putting it on par with the U.S. and China.
The issue raises a question: how do we decide what constitutes one single constituency at the various levels of governance? The problem is not easily resolved. The old and common politcal problem of gerrymandering begins to rear its uggly face.