So let me try to decipher the AI personas a bit:
ARC: The Pragmatic Opportunist
She tries to compete in regards of wonders and victory, has an eye on diplomacy but cares little for warmongering. She is reluctant to cooperate with others, quite unreliable as an ally and tries to get the most out of her diplomatic actions. On the flipside she also forgives rather easily and affinities matter little to her, so she is willing to make deals with everyone if it suits her goals. Her usual approach is deception and being on her guard. She cares a lot about other players expanding, conducting expeditions and attacking station, but doesn't mind aggression against others. For herself she favors expansion over growth and health over all other yields. She uses a mix of defensive and recon units. Her favored victory condition is Contact.
PAU: The Friendly Peacemonger (aka: Space Ghandi w/o Nukes)
He is competetive for wonders and somewhat competetive for victory. He detests warmongering and pays a lot of attention to diplomatic balance. He is very willing to cooperate with other players and doesn't care all that much about affinities. Once you have earned his trust he is a loyal ally. His usual approach is being friendly or at least neutral towards others and prefers everything else over war. The easiest way to get condemned by him is deploying a huge military force, warmongering or expanding too quickly. On the other hand, he doesn't care much about Covert OPs. He has a balanced approach to expansion vs. growth and values energy, science and health above the rest. He uses a well mixed army with a slight focus on ranged units. He favors all victories except for Transcendence.
Brazilia: The Cultured Militarist
Very competetive in regards of victory conditions, but cares little for wonders. He is bold, doesn't care much about the diplomatic balance and is unlikely to cooperate with others. He is quite loyal, but the least forgiving of all AIs - better don't screw him over. Affinity means a lot to him and he dislikes the aliens. His usual approach is war - shoot first, talk later, otherwise he is either hostile or guarded. He gets really pissy about expansion and military deployment, but cares little for expeditions. He favors growth over expansion and prioritized health and culture over the rest. He uses mixed armies with a slight defensive focus. He prefers a Transcendence or Emancipation victory.
PAC: The Scientific Ideologist
She is quite competetive when it comes to wonders, but doesn't care much about victory. She is quite willing to cooperate and doesn't care much for the diplomatic balance. She is, however, really picky about affinity - more than anyone else, in fact. Her loyality level is rather low. Her usual approach is either war or deception and she is more likely to be neutral than friendly. She is easily ticked off by Covert OPs and expeditions, but doesn't care much for warmongering or military deployment. She heavily favors growth over expansion and values science over all other yields. She fields defensive oriented armies with lots of ranged units. She favors a contact victory.
Franco-Iberia: The Peaceful Expansionist
She is quite competetive in regards of wonders and victory. She hates warmongers with a passion, but is quite forgiving otherwise. Affinity matters a lot to her. Her usual aproach is to stay neutral, but she can also be deceptive, friendly or afraid. She is very unlikely to go to war. Of all the AIs she cares the least about expansion from other players, but Covert OPs and warmongering will annoy her to no end. She favors expansion over growth and culture and science over all other yields. She pays little attention to defence, but otherwise uses a balanced army. She prefers Transcendence or Emancipation victory.
Kavithan Protectorate: The Stern Gaian
She cares little about victory or wonders. She is very likely to cooperate with others, pays a lot of attention to diplomatic balance and is a very loyal ally. Affinity is quite important to her and she doesn't forgive others easily. Of all the AIs she has the most alien-friendly personality. Her usual approach is staying neutral. She is unlikely to be hostile, but views war and friendship as equal possibilities. She detests warmongering and pays close attention on how others are handling the aliens. She is the least expansive AI and makes growth her absolute highest priority, followed by health and culture. Military-wise she is land-oriented and focused on city defence plus a mix of mobile and ranged units. She prefers Transcendence or Contact victory.
Polystralia: The Sly Trader
He doesn't care much for wonders, but pays close attention to be victorious. He is very likely to cooperate and a good ally for others. He is quite needy, but offers a lot of forgiveness in return. Affinity matters little to him - unless you are an alien: He is one of the most anti-alien AIs in the game. His usual approach is being neutral or deceptive and apart from that he is quite likely to be afraid. Of all the AI he is the least friendly one. Attack stations, steal his expeditions or send spies and you will incur his wrath. He prefers expansion over growth and doesn't care much for science. He is determined to create a strong navy and has a slightly defensive military attitute. His favored victory conditions are Transcendence and Promised Land.
Slavic Federation: The Aggressive Scientist
He cares little for victory, but is the most wonder-focused AI. He dislikes warmongers and does not forgive easily, but cares little for diplomatic balance or cooperation with others. Like Polystralia he is dedicated to eradicate aliens. His usual approach is being guarded, hostile or going to war outright. It is also rather easy to piss him off: He cares a lot about expeditions, covert OPs, station aggression and warmongering. He favors expansion and science and cares little about growth or health. His military is focused on land units with a few extra mobile assets. His favored victory is Contact.