Archlinux's wiki has an entry about MATE Desktop Environment: https://wiki.archlinux.org/index.php/MATE
To install MATE, open /etc/pacman.conf and append this: (for i686 or x86_64).
[mate] SigLevel = Optional TrustAll Server = http://repo.mate-desktop.org/archlinux/$arch # MIRROR - MATE repo: #Server = http://packages.mate-desktop.org/repo/archlinux/mate/$arch
Do a pacman update
pacman -Syy
And install the package normally.
#bare bones install(just desktop, panel and window manager):
pacman -S mate
#full install:
pacman -S mate mate-extra mate-extras
Please, report any bug or problem at https://github.com/mate-desktop
Upgrading from 1.4 to 1.6 you should remove all old 1.4 packages to avoid slow mate-desktop startup time
pacman -R ffmpegthumbnailer-caja libmate libmatecanvas libmatecomponent libmatecomponentui libmatenotify libmateui mate-conf mate-conf-editor mate-corba mate-mime-data mate-vfs python-corba python-mate python-mate-desktop
NOTE! be careful though and check what is removed. dont let it remove your important system packages, if you for example havent updated your system before.