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Subject = General equilibrium theory;
4 items found
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Displaying Results 1  4 of 4 on page 1 of 1
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The Foundations of Computable General EquilibriumTheory
(2010)
Velupillai, K.V.
The Foundations of Computable General EquilibriumTheory
(2010)
Velupillai, K.V.
Abstract:
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 the strict mathematical senses.
http://hdl.handle.net/10379/1105
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The unreasonable ineffectiveness of mathematics in economics
(2018)
Velupillai, K. V.
The unreasonable ineffectiveness of mathematics in economics
(2018)
Velupillai, K. V.
Abstract:
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 formalisations imply nonconstructive and uncomputable structures. A reasonable and effective mathematisation of economics entails Diophantine formalisms. These come with natural undecidabilities and uncomputabilities. In the face of this, I conjecture that an economics for the future will be freer to explore experimental methodologies underpinned by alternative mathematical structures. The whole discussion is framed within the context of the celebrated Wignerian theme: The Unreasonable Effectiveness of Mathematics in the Natural Sciences.
http://hdl.handle.net/10379/9956
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The Unreasonable Ineffectiveness of Mathematics in Economics.
(2010)
Velupillai, K. Vela.
The Unreasonable Ineffectiveness of Mathematics in Economics.
(2010)
Velupillai, K. Vela.
Abstract:
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 effective mathematization of economics entails Diophantine formalisms. These come with natural undecidabilities and uncomputabilites. In the face of this, I conjecture that an economics for the future will be freer to explore experimental methodologies underpinned by alternative mathematical structures. The whole discussion is framed within the context of the celebrated Wignerian theme: The Unreasonable Effectiveness of Mathematics in the Natural Sciences.
http://hdl.handle.net/10379/1108
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Variations on the Theme of Conning in Mathematical Economics
(2010)
Velupillai, K. Vela
Variations on the Theme of Conning in Mathematical Economics
(2010)
Velupillai, K. Vela
Abstract:
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 infelicities. The attempt to extract these infelicities is in terms of three main examples: dynamics, policy and rational expectations and learning. The focus is on the role and reliance on standard fixed point theorems in orthodox mathematical economics.
http://hdl.handle.net/10379/1070
Displaying Results 1  4 of 4 on page 1 of 1
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