On luxury and equilibrium

Building on a class of transcendental preferences for luxury, explicit solutions for price taking behavior and exchange equilibrium are discussed, which share the analytical tractability of Cobb-Douglas models and display positive relevance, along the lines discussed by Freixas and Mas-Colell (1987). The monotone comparative statics of the luxury effect is discussed. Pareto sets admit a simple characterization which generalizes the one set forth by Afriat (1987) for Cobb-Douglas exchange economies. Potential lines of progress are envisaged.