When a group like Da’esh takes hostages, they usually publicize it, and issue demands to a government.
Mujahideen in Iraq, and guerrilla groups in Latin America have had much more success dealing directly with the companies their hostages work for, without publicizing the abductions.
Publicity makes negotiations very difficult, and it should be understood that governments, as a general rule, will not concede to demands, particularly when the matter has become public.
Companies almost always negotiate. They must.
If the demand is for ransom, the hostage-takers are almost certain to receive it. If the demands are political, the company can exert its influence over the government to pressure for concessions.
Another tactic employed frequently in Latin America was the taking of hostages in order to gain a media platform for their political views. Hostages would be released in exchange for a communiqué from the rebels being read on state television or radio, thus enabling the revolutionary group to reach a national audience and incite others to support their goals