Which is a better video card for gaming: NVIDIA or Intel?

NVIDIA Tegra 4 will do a great job for gaming.

For your needs you don't need a good card. So you could look at a lower end NVIDA card or a AMD card.

Those aren't demanding games, so any mid-range AMD or nVidia card would more than suffice.

http://www.newegg.com/...6814121710

Intel integrated/onboard graphics are mainly used as display graphics, not so much for gaming. NVidia on the other hand make a good range of gaming orientated cards; their Geforce GTX cards.

NVidia and Radeon chips are the only ones good for gaming. Intel graphics chips are pretty much just for web browsing and word processing.