What's the "other market" in this case though?
Imagine that you search for "orlando new york flight" and the first result is rigged to be Google Flight Search. Or you look for "cloud database" and Google Cloud SQL is first.
Google is trying to get into a lot of markets, and its dominance in search could give its many other ventures an advantage.
And wouldn't this all be an issue for a company like Amazon as well? They are a marketplace, yet they also make tablets, e-readers, have a video-streaming service. Aren't they using their position as a online retailer to push their products in other markets over other company's products?
It most certainly could affect Amazon. And I would be okay with that.
From the anti-trust cases I've seen, the existence of viable (in the sense of accessible and sufficient, I think) alternatives is usually one of the market realities taken into consideration. If it is trivially easy not to use Google.com or Chrome, then Google's position is solidified by consumer choice rather than anti-competitive behavior.
Such as the fact that you can easily use something other than Chrome and Google search on any of devices? I mean, the position is starting to sound like "anti-trust" really means "The government taxes companies who hold a dominant position in the marketplace."
Edit: I can't reply to this thread anymore, so I'll just expand a bit here.
I get that on some level, all regulation/etc is some form of tax. I guess my point is that what constitutes 'anti-trust' is too unclear. It sounds a lot like governments just arbitrarily decide that its time for a certain company to give them money, without adequate justification.
Anti-trust is overtly about government placing additional restrictions (which, as they have costs, can be viewed as a kind of taxes) on companies with market power so as to limit the degree to which that market power accelerates within its core market and spreads to other markets denying effective choice.
So, you haven't really discovered anything that isn't exactly the overt point of antitrust law.
In a sense it can be likened to the drug dealer classic "the first dose is free".
There is also Ara. While one the surface it seems to break down the old consumer facing problems with mobile devices, there is no indication that Google will give up control over the endoskeletons that the modules attach to. Heck, they may set themselves up as sole distributor of modules. Even go as far as tracking modules, under the guise of disabling them if stolen.
And yes, Ara was an awesome Motorola project that Google will now ruin with walled garden design. The endoskeleton is not intended to be third party-able.