I had to do some trial and errors to find the correct libraries to make this game start on Arch Linux, so I'll share this info to every other with the same problem. This works for my system, which has an Nvidia card with proprietary drivers.

First you must uncomment the [multilib] section in your /etc/pacman.conf, then you need to update it and install this packages: lib32-nvidia-utils lib32-libpulse lib32-alsa-plugins lib32-libxcursor lib32-libxrandr

All the other needed libraries will be installed as dependencies.