Disclaimer:  I am not a fanboy of either AMD, Nvidia, or Intel.  I have and currently do own parts from all 3 as they all make decent products, and sometimes not so decent as well ;).

While I do think that this mentality is going away, I can't help but notice some people (Including oblivious console gaming websites) say the most rediculous things I have ever heard like "Hey as long as you have a GTX card you are fine"   or "I thought Nvidia and Intel were the same thing ?!"

Then you have the fanboys that feed the oblivious casuals their BS like "Nvidia cards are just stronger and use less energy."  So before I here your thoughts I want to state that it is a FACT that AMD and Nvidia tend to trade blows and one up each other back and forth.  History of competition:

2007:  The 8800 GTX is quite a bit stronger than the HD 3870

2008:  The GTX 280 is about 10-15% stronger than the HD 4870 while costing twice as much

2009:  The HD 5870 launches and decimates GTX 285 for around half a year.

2010: The GTX 480 launches and costs 25% more than the 5870 while being 10-20% stronger.  It also uses near double the energy and genrates noise at 70dB. 

2010-2011: Nvidia quickly launches the GTX 580 shortly after the 480 and maintains a performance lead for a little over a year.  Although it should be mentioned that the HD 6970 had more memory, used a lot less energy, and cost quite a bit less.

2012:  The HD 7970 launches and dominates the 580 for a few months until Nvidia can launch the GTX 680.  The 680 costs a little less at first and performs a little better (10%) while offering lower power consumption.  However Nvidia was never able to manufacture them reliably in time and within a couple months AMD gets the 7970's performance solidly above the 680's while offering more Video ram for the same price.  It should also be mentioned that AMD works to fix frame varience problems for about half a year for crossfire set ups.

*For all the fanboys that want to dispute the 7970 winning in power, here is a review of the GTX 770 that perfectly illustrates how true this is:

http://www.tomshardware.com/reviews/geforce-gtx-770-gk104-review,3519-9.html

2013:  Nvidia finally beats the HD 7970 with... A $1000 card that is only in practice about 40% stronger than a stock 7970  (GTX Titan).  Eventually the GTX 780 comes out but still at an insane $650 price point.  AMD then launches the R9 290 series later in the year and overtakes the $1000 titan for less than half the price.  Then of course Nvidia releases the GTX 780 Ti at an insane price of $700.  It is about 7% stronger than 290X while offering less VRAM.

2014:  R9 295X2 spanks the Titan Z at half the price.  Nvidia Maxwell to launch late this year.

Doesn't seem like anyone is dominating here to me...

The fact that people are still buying more Nvidia despite the much higher price and the weaker perrfomance makes it actually even better than Intel in dominating the competition. At least Intel actually has the better products.

I doubt AMD have the cash to keep up R&D any more.

I always liked ATI (now AMD) cards. Never owned a Nvidia card and the company seems to come off as a little dickish/stuck up. I kind of view Nvidia and Epic Games in the same light.

Not true.  AMD and Nvidia sell around the same amount.  The only thing Nvidia has a ton more of is misleading marketing:

http://www.kitguru.net/components/graphic-cards/anton-shilov/amd-loses-gpu-market-share-as-market-expands-jpr/

http://semiaccurate.com/2012/02/23/mixed-results-for-gpu-sector/

I believe it's because when people think of AMD they automatically believe products are inferior because of the lower price, which, IMO, makes absolutely no sense to me. The R9 290X actually outperforms a 780 Ti when gaming at 4K, so the performance difference this time is quite pointless since a 780 Ti is only better at 1080p. Not really sure why someone would buy a nVidia top-end card while AMD is making similar/better products at a much lower price, maybe PhysX or Shadowplay would make such an influence, but it's hard to say.

Nvidia just needs to get it through their head that exclusive technologies will always be held back by their limited marketshare.  Hell FreeSync may already have more market saturation than G-Sync the second it launches...

So Nvidia is the Apple of graphics cards.  I help build the Mac Pro in my manufacturing job but I could build an equal or better computer than the Mac Pro for 1/2 the price (although they do have a weird design factor compared to the normal motherboard config).  Companies gotta love when they get put into this situation (able to sell product for more just because of their brand name) but eventually more and more people might realize they can get better or just as good of a product for 1/2 the price.  Example: Sony decline in TV market which they once dominated with the Trinitron in the CRT days.  People realized that they could get a Samsung, LG, Toshiba, etc LCD/LED of equal quality for way less money. 

I usually buy a card for around 250 Euros with the best value. It was 5x ATI/AMD and 1x Nvidia. The Nvidia card was an exceptionally good offer from the EVGA store, not the regular market price.

Hm... That's a new one. Only shows  how strong the brand name still is.