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Titan: Creature one-on-one results

For reasons I don't entirely understand, I enjoy the game Titan very much. On the surface, it appears to be an incredible amount of randomness (with buckets of dice) and very few choices.

There are some decent strategy guides out there (see the links at the bottom of the Colossus page, for example), and I highly recommend using Colossus to help tune your game.

But, one lingering question I've had is how good are the creatures in the game, really? The game assigns point values, in the range of 12–40, that is computed crudely: simply multiply the strength and level. But this is incorrect: a centaur isn't really the same as an ogre, is it?

Answering that question in general is tough. One thing I can do, though, is to figure out which creatures are more effective in one-on-one battles against each other. This is exactly what I did.

Here are some simple results for just the beginning ("tower") creatures, to decide which ones are inherently better. These results are averaged over 1,000,000 runs.

Creature Creature Kills (%) Is Killed (%)
Centaur Gargoyle 74 63
Ogre Gargoyle 77 61
Centaur Ogre 75 51

Essentially, they are all nearly equal when it comes to killing each other, but the Centaur has a slightly better chance of surviving against an Ogre, and an Ogre has a better chance of surviving against a Gargoyle. Not exactly a clear victory for anyone, but I would have to say that the Centaur appears to be the best tower creature here.

It is fairly easy to extend these results to all one-on-one battles possible, which I have included in this table (PDF). The table is arranged so that the creature on the left-hand-side is attacking the creature on top, and the pair of numbers represents the probability of the left creature defeating the top creating and the probability of the left creature getting killed, respectively.

The simulation to generate these numbers took about two hours (all written in Python / Cython, source code available here, if you are curious).

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