An interesting concept. ...
Interesting, but it has its flaws.
I will venture a few opinions.
I think there will be a sixth group.
Noting the Cyrillic text on the map, I am guessing that it was drawn up in Russia.
First, the blue will be smaller. I think the USA will be blue all by itself. Everything else will be a different color. But she will be OK.
Read on.Second, the white will be smaller, but have greater influence. India has not had any history of expansionism since independence. She handles neighborhood problems, but doesn't conquer peoples.
Third, the red will also be smaller. Russia may dominate both polar regions, and natural resources supplies as well. They will live well selling stuff, they won't need to expand (or to expend the resources necessary to control other nations). But there has been too much Imperial and Communist history and consequently too much fear and loathing in neighboring lands.
Fourth, the green will not be as far south in Africa, stopping not far beyond Nigeria and Sudan, because of fear and loathing among the peoples of Africa as a consequence of such things as the Darfur genocide.
Fifth, green will dominate Western Europe, because the major nations there have abandoned their history and lost their will to live as integral civilizations. They will be overrun.
Sixth, the green will extend into the former Soviet Union, in some of the southern, Islamic, areas.
Seventh, the brown will be much larger. China will have control of most of Africa that is not already Islamic. And it will control a lot of the Caribbean, Central America, and northern South America.
Eighth, but most important, there wil be a lot of the world in a sixth group. Due to my lack of skill in picking colors, I will call it the striped group. The stripes will be
BLUE & WHITE !!!It includes, in Europe --- Ireland, an independent Scotland, Scandinavia, the Baltic States, & most of the old Warsaw Pact nations.
In the Pacific --- Australia, New Zealand, the Philippines, Japan, and probably South Korea.
In the Americas --- Brazil, Chile, Canada, and likely Mexico and Argentina.
And, perhaps, South Africa.
They will not be a monolith, but they will work together against the blocs.
What will these nations have in common?
Free markets, free speech, democracy, and a set of common problems, most notably the green and the brown. And for some of them, the red, for historical reasons.
They are not likely to perceive an existential threat from either the blue or the white, although they may tweak us or blow off some steam in our direction from time to time.
The blue, the white, (and the red, if they are as smart as I think they are!) will get along OK, as long as we don't give up our civilizations as Europe seems to be trying to do.
Blue, white, and red.

Looks like a Russian flag. Or a French flag? Or an American flag? Not bad, if you ask me.