In the tradition of Afriat (Int Econ Rev 8:67-77, 1967), Diewert (Rev Econ Stud 40:419-425, 1973) and Varian (Econometrica 50:945-972, 1982), we provide a revealed preference characterisation of exact linear aggregation. This guarantees that aggregate demand can be written as a function of...

This paper uses revealed preference restrictions and nonparametric statistical methods to bound true cost-of-living indices. These are compared to the popular price indices including the type used to calculated the UK RPI. This is used to assess the method of calculating the RPI for substitution...