Hedonic models are fundamental in the analysis of markets with differentiated products. They characterize the pricing of bundles of attributes and the demand and supply of these attributes under different assumptions about market structure. They are widely used by government statistical agencies, central banks, and government regulatory agencies. Two papers, analysing the statistical properties of hedonic models and computing solutions to hedonic models, were published in 2004, Ekeland, Heckman, and Nesheim (2004) and Heckman, Matzkin, and Nesheim (2004). Ongoing work is refining these results to study multi-market applications and multidimensional applications. Intermediate results in these areas were presented at the May 2004 workshop on Mathematical Structures in Economic Theory and Econometrics at the Banff International Research Station. The results from this research have been applied in the work empirically analysing school quality detailed elsewhere.