Frank Ramsey's classic framing of the dynamics of optimal savings, [51] as one to be solved as a problem in the calculus of variations and Ragnar Frisch's imaginative invoking of a felicitous Wicksellian metaphor to provide the impulse-propagation dichotomy, in a stochastic dynamic framework,...

Economic theory, game theory and mathematical statistics have all increasingly become algorithmic sciences. Computable Economics, Algorithmic Game Theory ([28]) and Algorithmic Statistics ([13]) are frontier research subjects. All of them, each in its own way, are underpinned by (classical)...

It is shown that Paul Romer’s suggestion to model algorithmically the use and production of ideas in an endogenous growth model is formally feasible. Such a modelling exercise imparts a natural evolutionary flavour to growth models. However, it is also shown that the policy implications are...

Rissanen's fertile and pioneering minimum description length principle (MDL) has been viewed from the point of view of statistical estimation theory, information theory, as stochastic complexity theory -.i.e., a computable approximation to Kolomogorov Complexity - or Solomonoff's recursion...

A computable economist.s view of the world of computational complexity theory is described. This means the model of computation underpinning theories of computational complexity plays a central role. The emergence of computational complexity theories from diverse traditions is emphasised. The...

The mathematization of economics is almost exclusively in terms of the mathematics of real analysis which, in turn, is founded on set theory (and the axiom of choice) and orthodox mathematical logic. In this paper I try to point out that this kind of mathematization is replete with economic...

The claim in this paper is that Sraffa employed a rigorous logic of mathematical reasoning in his book, Production of Commodities by Means of Commodities (PCC), in such a way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the...

In a recent paper (Velupillai, 1999) I discussed the following two propositions (in reverse order):Proposition 1: Assume that the (individual) market excess-demand functions are restricted to be defined on the domain of computable reals. Suppose also that we have an arbitrary exchange economy...