Michio Morishima's nonlinear model of the trade cycle (Morishima, 1958) is simplified and generalized to show, by means of the Andronov-Hopf bifurcation theorem, the existence of a periodic orbit. In addition, an attempt is made to place Morishima's contribution in the broader tradition of the...

In this paper I try to substantiate the thesis that Jevons may have been too harsh on the vices of induction and generously optimistic about the virtues of deduction, as discussed, primarily, in his magnum opus, The Principles of Science [6]. With this aim in mind the paper attempts to suggest...

A nonlinear disequilibrium macrodynamic model of ?uctuations in the labour and product markets, mediated by variations in factor shares, is developed and the exis- tence of a periodic orbit is proved using the Hopf bifurcation theore

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...

In this paper I attempt to show that mathematical economics is unreasonably ineffective. Unreasonable, because the mathematical assumptions are economically unwarranted; ineffective because the mathematical formalizations imply nonconstructive and uncomputable structures. A reasonable and...

A constructive and recursion theoretic analysis of the standard Computable General Equilibrium (CGE) model of economic theory is undertaken. It is shown, contrary to widely expressed views and textbook versions of the CGE model, that the standard CGE model is neither computable nor constructive...

It is natural to claim, as I do in this paper, that the emergence of non-constructivities in economics is entirely due to the formalizations of economics by means of 'classical' mathematics. I have made similar claims for the emergence of uncomputabilities and undecidabilities in economics in...

The paper begins with a brief introduction to the origins of the tradition of formalizing the determination of a rational expectations equilibrium using topological fix points. It is then suggested that fidelity to the twin economic conceptual bases of rational expectations - self-reference and...

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 of Kolomogorov Complexity - or Solomonoff's recursion...

Hicks theorized about the trade cycle, from many perspectives, over the whole span of his long, fertile and distinguished profes- sional life. Beginning with thoughts on an equilibrium approach to the problem of the trade cycle in the early 30s, traversing1 those disequilibrium workhorses of...