Quality, Valuation, and Welfare

The analytic structure developed in the first six chapters is applied to quality-differentiated production, quality-differentiated pricing, and consumer welfare analysis. The quality-differentiated production problem is developed as a special case of the multiple-output problem for both nonstochastic and stochastic pricing regimes. The "household production" model of Gorman (1956) and Lancaster (1966) is developed in a conjugate dual framework whose solution for rational individuals obeys the zero-maximum (zero minimum) principle. The nominal concepts of compensating variation and equivalent variation are shown to have real-valued (dual) parallels in the compensating benefit and the equivalent benefit. Real, as opposed to nominal, valuation for traded and nontraded goods is treated in the benefit framework. Directional derivatives of distance functions are used to rationalize the frequently observed empirical discrepancy between willingness-to-pay and willingness-to-accept.