If Yahoo, Bing, Yandex, and Baidu fail as search providers, does Google get defined as a monopoly?

The future of Yahoo is not good.

Yandex is having its problems.

Yandex Sinks on Profit Concern as Google Grows: Russia Overnight

Yandex NV (YNDX) tumbled the most this year on speculation the owner of Russia’s most popular Internet search engine will report net income faltered last quarter as competitors such as Google Inc. (GOOG) encroached on its market share.

Baidu is down on weak forecasts.

Baidu shares decline on a weaker than expected forecast

Baidu's chairman introduces the company's search engine Baidu has seen a robust growth in advertising revenue in recent years

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Shares in Chinese biggest search engine Baidu fell more than 10% in after hours trading after the firm issued a weaker-than-expected revenue forecast.

Bing is speculated to be sold to Facebook.

The rumor, which started as a prediction in an e-book written by an "anonymous" marketing executive trying to cash in on Facebook's IPO, turns out to be truer than anyone could have guessed.

According to a nugget buried in a New York Times report on Facebook's patent strategyMicrosoft executives approached Mark Zuckerberg to see if he'd like Facebook to acquire Bing.

 

If no one but Google can make money on search and competitors fold shop, is it possible in the future that Google becomes the monopoly of search?
If Microsoft, Baidu, and Yandex can't beat Google, it seems like governments around the world would think they need to regulate Google Search.