the adult’s utility function, which depends on the child’s welfare, subject to a budget constraint. The relative effects …

±cient path. This path will be called the Negishi map. Moving the relative weights of the agent in a social welfare utility …

We propose a decomposition of social welfare when consumers' preferences are described by quasi-linear utility …-numeraire goods, whose consumption enters utility functions non-linearly. This decomposition is useful especially when we assess the …' preferences are described by quasi-linear utility functions. In our decomposition, social welfare is expressed as the sum of …