Bing only survives because Microsoft has deep pockets, a result of their monopolies and huge war chest of course. It now powers Yahoo's Search (since their own search engine is long dead) and DuckDuckGo. You see, DDG is nothing more than a glorified UI over Bing's infrastructure.
And no, competing with Google Search isn't possible, unless you're Microsoft and like to play pretend.
Remember 1999-2001 when Google unseated Yahoo from the king of search? It was a feat that seemed impossible when you had established search engines like Lycos, Ask Jeeves, Excite, DogPile, etc. all competing in the space.
As with most industries and its enterprises, you'll always have an event horizon and then singularity until markets are saturated and the industry becomes irrelevant to the consumer.
But here's the problem: in 2000 there was no dominant design for search engines, so the market was still open for competition. The biggest problem is that right now Google Search is the dominant design. Google won because they changed how a search engine looked, felt and functioned. Nowadays though, people want and expect Google for searches. It's a verb you know. Then webmasters in turn are optimizing their websites for Google's crawler, which in turn ensures that Google always has an edge. And you can't beat them at their own game, because they have the mindshare and the resources to keep ahead.
> ...until markets are saturated and the industry becomes irrelevant to the consumer
I don't think search will ever be irrelevant, but that was my other point. Technological innovation is the only natural force that breaks monopolies, but relying on constant technological innovation means our economy, our way of life, isn't sustainable.
Citation needed, as they claim they pull in from a number of sources, one of them including Bing. "A glorified UI over Bing" seems like a bit of a stretch, but if that's actually true, it would be good to know.