The book begins with an introduction to some of the basic concepts and results on chaotic dynamical systems. Next it turns to a detailed self-contained summary of the literature on discounted dynamic optimization. The first two chapters are of particular pedagogical interest. The volume also...

We study the underlying structure of the two-dimensional dynamical system generated by a class of dynamic optimization models that allow for intertemporal complementarity between adjacent periods, but preserve the time-additively separable framework of Ramsey models. Specifically, we identify...

The classic papers of Malinvaud and Samuelson pointed out that even in »classical infinite horizon economies a competitive program of resource allocation need not be efficient or Pareto optimal. This led to the more general question of designing allocation mechanisms in the sense of Hurwicz...

In a standard exhaustible resource model, it is known that if, along a competitive path, investment in the augmentable capital good equals the rents on the exhaustible resource (known as Hartwick's rule), then the path is equitable in the sense that the consumption level is constant over time....

The paper examines the nature of competitive paths in an exhaustible resource model, which allows for growing population. For competitive paths which are equitable in the sense that the per capita consumption level is constant over time, the implicit investment rule is derived. This is seen to...

It has been known that, in aggregating infinite utility streams, there does not exist any social welfare function, which satisfies the axioms of Pareto, inter-generational equity and continuity. We show that the impossibility result persists even without imposing the continuity axiom, and in...

This paper is concerned with the issue of characterizing the situations in which all the literacy indices, consistent with a set of reasonable axioms, would provide the same ranking of societies. It is shown that a theory, analogous to that developed for the Lorenz order in the study of income...

We study a one-sector stochastic optimal growth model with a representative agent. Utility is logarithmic and the production function is of the Cobb-Douglas form with capital exponent alpha. Production is affected by a multiplicative shock taking one of two values with positive probabilities p...