The one-word term for "extreme old age when a man behaves like a fool" is dotage. Dotage refers to the period in extreme old age when a person becomes weak mentally and physically and behaves foolishly. Here is a brief explanation of related terms:
- Dotage : Extreme old age with foolish behavior.
- Senility : Mental and physical decline in old age, but not necessarily foolish behavior.
- Imbecility : General stupidity or mental weakness, not specific to old age.
- Superannuation : Retirement age or pension, unrelated to behavior or mental state.
Therefore, the most suitable word that fits the phrase "extreme old age when a man behaves like a fool" is dotage.