It depends on the offense. Ultimately, the captain has first and last word of what happens to you if arrested at sea; however, he will be answerable to his actions when he returns to land.
Almost every cruise ship has a brig, or ship "jail" in which a person may be kept until he or she can be turned in to the proper authorities. If the offender is considered a continued danger to passengers, the captain may elect to give custody to the authorities in the next port -- no matter what country you land in. From there you may be extradited to your country of orgin, or the country may decide to prosecute you there.
For less serious offenses, the captain may choose to either detain you in the brig for the remainder of the voyage, allow you to pay a fine, or restrict you from leaving the ship until you can be turned over to the authorities in your country of origin.
You get thrown into the brig!
While not a cruise ship, RMS Adriatic (1907) was the first ship with a swimming bath.
It is a distinct possibilty that the warrant will appear on watchlists while traveling by cruise ship.
In most cases the ship will leave unless you are on one of the excursions sponsored by the cruise line.
A cruise ship passenger is someone who is on a cruise ship during a cruise.
A cruise ship tourist is a person who tours you around a cruise ship.
It is a cruise liner or cruise ship.
A cruise ship passenger.
A cruise ship passenger.
Luke gets defeated on his cruise ship (The Princess Andromeda).
Yes. Most cruise lines have agreements with the ports-of-call that makes the cruise ship searchable by local police while in port. The cruise ship is under a limited jurisdiction by the local authorities, so even if you don't get off the boat -- you are still in Vietnam.
Symphony of the Seas cruise ship retains the title of the world's biggest cruise ship in 2020.