COPENHAGEN — Merete Mortensen, the founder of a successful television production company here, is used to having her pick of the industry’s top talent in Denmark. But when she was trying to hire a new developer this year to help her create new shows, her first and even second choice turned her down.

She sweet-talked them with everything she could think of — a larger salary, a longer contract, beers — but with no luck.

“It’s been crazy this year in Denmark,” said Ms. Mortensen. “We’ve been having bidding wars over the best people.”

Netflix, Amazon Prime and their ever-growing number of competitors have dramatically reordered television, creating a boom in TV shows as well as jobs for actors, directors, producers and writers. A lot of that content is being developed far from the usual hubs in Hollywood, New York and London, as the streaming services mine international productions from countries including France, Japan and Brazil.