Yea I agree, there is something very FISHY with the AI and its Money.
In my game last night (King, Standard, Standard) as Maria, I built both Colossus and Petra, had 3 cities and the number #2 army adn #1 navy. All Trade routes were going for gold.
Anyway, America, turned into a classic G+K runaway on some bull$$%@! He had an army 2X my size and voted for the "Standing Army Tax". I went from 300+GPT to 270ish GPT, meanwhile America went from 220Gpt to 260gpt, and his military might number did not change in the demographic screen! Furthermore towards the later part of the game he was making 300+ GPT on a wide empire.
To add further insult to injury, America went wide with 8 cities and 4 puppets (12 total cities) and still had a 9-10% tech lead over me! At 12 cities that is a 60% cost increase in beakers, and besides his cap, the rest of his cities were >25. I got so frustrated I DOWed him and edged out with a Diplo Victory, but still I never seen this in any of my games thus far in BNW. It made it more exciting, but still if I wanted to play with handicaps against me, I will go up to Immortal or Deity, not something I would expect on King.