Выражение встречается в следующем контексте:

Вот, чтобы произошло, если бы женщины правили миром

Заранее спасибо

This is what could happen if women ruled the world

Definitions of matriarchy on the Web:

where a mother figure and women have authority.
oregonstate.edu/instruct/anth370/gloss.html

Social organization in which females dominate males.
www.elissetche.org/dico/M.htm

A historical type of human society where power functions were carried out by women.
www.undp.am/publications/gender/wsr/Z+++/Glossary.htm

Dominator form of society (androcracy) in which women are the dominant gender.*
www.geocities.com/seaskj/glossary.html

a form of social organization in which a female is the family head and title is traced through the female line
wordnet.princeton.edu/perl/webwn

A matriarchy is a tradition (and by extension a form of government) in which community power lies with the women or mothers of a community. The word matriarchy derives from the Latin words matri meaning mother and arch meaning chief or prime.
en.wikipedia.org/wiki/Matriarchy

This is what would happen if women ruled the world:

Men would have to buy Playboy for the articles 'cause there would be no pictures.