A wide variety of social protection systems coexist within the EU. Some member states provide social insurance that is of Beveridgean inspiration (with universal and more or less flat benefits), while others offer a system that is mainly Bismarckian (with benefits related to past contributions)....

We study the design of pension benefits for male and female workers. Women live longer than men but have a lower wage. Individuals can be single or live in couples who pool their incomes. Social welfare is utilitarian but an increasing concave transformation of individuals’ lifetime utilities...