If people's labor-supply decisions are taken at the level of the household, it is natural to expect aggregate demand and unemployment to influence the supply curve of labor. An increase in unemployment could prompt households to send more workers out in search of work to insure against the risk of the primary worker getting unemployed (the 'added worker effect'). But it could also discourage people from wasting energy searching for work (the 'discouragement effect'). While these effects have been studied empirically, their theoretical bases remain largely unexplored. The present paper formally models household labor supply decisions and establishes sufficient conditions for the domination of one effect over the othe...