My vision for gaming future is one that primarily consists of streaming content with hardware native software just being written for enthusiast gamers on PCs, and maybe phones. I imagine over the next 10-15 years we'll see streaming do to console gaming as smartphones did to handhelds. The masses will seize a cheaper, and more accessible means of gaming. They won't have to buy $200-$600 consoles because the streaming tech will be built into everything with a display. They won't have to worry about downloading patches, or which platform to buy a game on because that stuff will be done on the back end. You'll have cross-device multiplayer. You'll have the same experience no matter what you play on.
There are certainly problems with this vision, most notably the fact that a lot of the world has horrible network infrastructure but it's the way I see media consumption going. The average consumer probably won't care about the input delay, video compression, or the fact that they don't own any form of the game. That's why I expect there to still be native software developed for PCs because that platform attracts the people who do care about those things. Phones may still receive ground up games because I'm not sure everyone will enjoy playing games designed for button inputs with a touch screen. Of course by the time I expect streaming games to be the dominant distribution style the way we interact with the medium may have changed drastically from how it is today.