Committed individuals, who features steadfast dedication to advocating strong
beliefs, values, and preferences, have garnered much attention across
statistical physics, social science, and computer science. This survey delves
into the profound impact of committed individuals on social dynamics that
emerge from coordination games and social dilemma games. Through separate
examinations of their influence on coordination, including social conventions
and color coordination games, and social dilemma games, including one-shot
settings, repeated settings, and vaccination games, this survey reveals the
significant role committed individuals play in shaping social dynamics. Their
contributions range from accelerating or overturning social conventions to
addressing cooperation dilemmas and expediting solutions for color coordination
and vaccination issues. Furthermore, the survey outlines three promising
directions for future research: conducting human behavior experiments for
empirical validation, leveraging advanced large language models as proxies for
committed individuals in complex scenarios, and addressing potential negative
impacts of committed individuals