have a monopoly on (something)

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have a monopoly on (something)

To be the only one who has or possesses something. If that company thinks that they can have a monopoly on telephone service in this town, they're in for a rude awakening!
See also: have, monopoly, on
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The center would effectively have a monopoly on radiology services for the area, and their prices will reflect a monopoly market, not a competitive one.
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