Final answer:
Emperor Diocletian established a tetrarchy to manage the third-century crisis in Rome, dividing the empire among four rulers to stabilize governance and succession.
Step-by-step explanation:
The individual who installed a tetrarchy to deal with Rome's third-century crisis was Emperor Diocletian. He came to power in 284 CE and quickly recognized the vast Roman Empire's governance issues.
To address this, he implemented the Tetrarchy, which is a Greek term for 'rule by four.' This system divided the empire into two regions, each governed by two emperors—one with the title of Augustus (senior emperor) and another as Caesar (junior emperor).
It was Diocletian's intent that this system would create a more stable succession and governance, putting an end to the cycle of assassinations and instability that had marked the preceding decades.
The Tetrarchy succeeded in establishing stability for the duration of Diocletian's reign, though it unraveled into civil wars upon his retirement.