Dynamic Economic Decision Making
This chapter presents dynamic optimization for economic decision making in the context of both dynamic cost minimization and dynamic profit maximization given different primal representations of the dynamic technology. The Bellman equation of dynamic programming serves as the analytical foundation for the duality between the production technology and the economic value function. The dynamic duality relationships in the form of intertemporal versions of Hotelling’s and Shephard’s lemmas are presented. The chapter concludes with the data envelopment perspective of the dynamic decision-making framework. Allowing the data to reveal the nature of the production technology, both the input and output quantities can be used to reveal the inner bound of the technology. Alternatively, the technological information can be recovered by exploiting the dynamic cost minimization behavior using input prices and input and output quantities, to reveal the outer bound of the input requirement set.