Before I would begin, let's clarify what cloud computing is. According to Wikipedia, "...cloud computing is [an] Internet-based computing, whereby shared resources, software, and information are provided to computers and other devices on demand..." In Lyman's terms, for gamers at least, this means that they no longer need powerful, and often expensive, devices to run games, only a fast enough Internet connection. Think of it as if your Xbox was in a different country, but you were able to play with it using the Internet.
Such services already exist. A good example would be OnLive, which launched some time ago and enjoys moderate success among gamers.
But now, with a new technology developed by California-based company, Gaikai, games will soon be available with a click of a mouse embedded into our browsers! Though this technology is currently still in beta phase, you now have the chance to try it real time with the Mass Effect 2 demo. All you have to do is click here and hope your Internet access is fast enough to be included!