People who have an excessive desire to show off or attract attention, or who engage in inappropriate public exposure.
From exhibitionism + -ist (agent suffix) + -s (plural). The -ist suffix creates a noun for a person who practices or is affected by the thing named.
Interestingly, 'exhibitionist' can be used somewhat playfully ('he's such an exhibitionist about his cooking skills'), but the plural 'exhibitionists' sounds more clinical and serious—tone shifts with number.
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