City officials unveiled a competition Monday to develop a new breed of teensier, tinier “micro-units.”

The pint-sized effort is aimed at trying to boost the stock of affordable housing in the city for young people who are often forced to share quarters with numerous roommates because they can’t afford to shell out for a Manhattan studio, which now averages $2,000 a month. Jerilyn Perine, executive director of the Citizens Housing & Planning Commission, blamed the problem on what she descried as a “huge mismatch” between the current housing stock and demand, fueling an underground housing market.