Final answer:
Incapacitation is the imprisonment strategy that aims to prevent recurrent crime by detaining criminals and has given up on their rehabilitation.
Step-by-step explanation:
The imprisonment strategy that is based on the desire to prevent recurrent crime and has abandoned all hope of rehabilitation is called incapacitation. Incapacitation focuses on removing criminals from society to prevent future crimes, often through imprisonment, without seeking to rehabilitate the offender. This approach contrasts with others like rehabilitation, which aims at transforming an offender into a productive member of society, and deterrence, which is about discouraging crime through the threat of punishment. Retribution, another approach, seeks to punish individuals for their past actions without necessarily addressing the potential for future crimes.