The collective model of household behavior is extended to consider the existence of public consumption, like expenditures on children, together with the possibility of non-participation in the labor market of one partner of the adult couple. This model argues that structural elements of the decision process, such as individual preferences and the intra-household distribution rule of non-public expenditure, can be identified by observing labor supply of each individual and total expenditures on the public good. The identification rests on the existence of a variable that affects household behavior only through its impact on the decision process, i.e. a distribution factor, and the existence and uniqueness of a reservation wage for each household member at which both members are indifferent to whether a member participates or not. This setting provides a conceptual framework for addressing issues related to the impact of the potential wage of a non-participating member on household allocations and the targeting of specific benefits or taxes.