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...

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...

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)...

This study presents an approach based on a perturbation technique to construct global solutions to dynamic stochastic general equilibrium models (DSGE). The main idea is to expand a solution in a series of powers of a small parameter scaling the uncertainty in the economy around a solution to...

We discover that letting agents pairwise sequentially exchange at "wrong" prices has a robust effect on prices at convergence. If the initial relative price for a good is cheaper than the equilibrium walrasian price due to initial endowments, the initial excess demand effect pushes resource...

This paper is the first attempt at quantitative and qualitative analysis of the Soviet literature on general equilibrium theory in 1960—1990s. We divide the papers into four subgroups: von Neumann—Gale class of models and equilibrium growth; Arrow—Debreu class of models; disequilibrium...

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...

This article challenges the notion that the modern general equilibrium theory of Arrow-Debreu is a rigorous formulation of neoclassical economics and that, by contrast, Sraffian and Marxian economics are not compatible with it. It shows that the standard Arrow-Debreu assumptions regarding the...