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There are (at least) two origins of the surname “Hayek”.
In the Czech language, where it is actually und originally written “Hájek”, it is the diminutive of “Hag”, so it means “little forest”. So why is it now written as “Hayek”? Because outside Bohemia and Moravia (esp. in German speaking countries) it got terribly mispronounced.
So far “all” Hayek-s listed here say, their surnames are from the Czech root.
If your surname is also Hayek, and you want to get sort of involved here, contact me!