Yes, YAG is much more expensive and is used for higher power.
Vandate is more efficient, and cheaper.
But does not handle the higher power well.
The KTP is the same in most dpss lasers.
Thats why when you get above 100mw or so the price skyrockets.
Check out sams laser faq
http://repairfaq.ece.drexel.edu/sam/laserssl.htm#sslcav
Nd:YAG - Neodymium doped Yttrium Aluminum Garnet (Y3Al5O12). Another synthetic crystal. It is purplish/lavender in appearance and lases at 1,064 nm. This is near-IR but totally invisible and NOT eye-safe. Nd:YAG has been by far the most common solid state laser material - much more so than ruby - partly because its lasing threshold is much lower so more output energy is available for a given input.
Nd:YVO4 (Neodymium-doped Yttrium orthoVanadate) - This crystal, often just called "vanadate", is the material of choice in low to medium power (up to a few watts) diode pumped solid state (DPSS) lasers operating at 1,064 and 1,340 nm (or doubled to 532 and 670 nm) due to its large stimulated emission cross-section, low lasing threshold, and polarized output. See the additional comments in the next section.