Continuous utility functions in consumer theory. A set of duality theorems (Q1082231)

The author considers the class of expenditure functions and the class of indirect utility functions that are associated with the class of continuous utility functions. These classes of functions are characterized in terms of primitives. Duality theorems are established and the theory is extended by theorems which provide easily checked conditions sufficient to assure that expenditure and indirect utility functions are associated with a continuous utility function.