needy circumstances; often short of money
Describes a state of frequently lacking money or resources; often used with 〜の or 〜な to modify nouns.
He always lives in needy circumstances.
It's tough to manage a household budget that is often short.
Compound of 不足 (insufficiency) and 勝ち (がち, tendency). The 勝ち here is a suffix meaning 'apt to' or 'prone to', not the verb 'to win'.