How concentrated is alliance power in Whiteout Survival

Whiteout Survival's strongest alliances are packed close: the number one has just 1.75 times the power of the number 100. Inside a State it flips, and the leading alliance typically holds 29.52% of its State's ten strongest alliances' power, three times an even split.

The top 100 alliances

[K77] KINGDOM77 of State #77 leads with 187.7B. From fourth place down the list is a plateau, and 100th still holds 107.5B. The top three hold 4.24% of the top 100's power, against 3% if all were equal. Alliance membership is capped, so a full alliance grows only as fast as its Chiefs do.

The 100 come from 83 States. Only 16 place two or more, and only State #33 places three:

Inside a State

For each of 3,950 States older than two weeks, take the ten strongest alliances and ask what share of their power the leader holds. An even split would give it 10%.

The most common range is 20% to 30%, with 1,529 States. Only 514 have a leader below 20%. In 334 the leader holds half or more on its own, and in 12 more than 70%. Yet the typical leader has only 1.21 times the power of the second: most States have one main alliance, a close challenger, and a long tail.

State vs State and the contest for the capital reward a State that gathers its strongest Chiefs in one alliance, which fits this shape.

To place your own State, open it under States and compare its two strongest alliances. A leader well above 1.21 times the second is more dominant than usual.