Testing and Applying a Theory of Utility; an attempt to decompose income in compensatory and scarcity rents

Data on income after tax, schooling completed, job held, age, and ‘level of satisfaction’ of 2663 members of the Dutch Consumer Union have been used to estimate regression equations of two types. Type I may be called a specification of a utility function, Type II an ‘earnings function’ (where income after tax was used as earnings). For both types a number of alternatives were estimated both with regard to mathematical shape and with regard to variables included. Defining equitable or justified income differences as differences which do not change the level of satisfaction, a formula for equitable incomes for given combinations of job, schooling and age can be derived from Type I equations. All regression coefficients are found to be lower than the corresponding earnings function coefficients. The latter can then be decomposed into a ‘compensatory’ component and a ‘scarcity rent’ component.