Can economic systems be seen as computing devices?
We briefly discuss ideas about computable economics, and comment on the contributions of A.A. Lewis and K.V. Velupillai. We then sketch the mathematical background for the Tsuji et al. (Tsuji, M., da Costa, N.C.A., Doria, F.A., 1998. The incompleteness of theories of games. Journal of Philosophical Logic 27, 553-564) result on the undecidability and incompleteness of game theory and of the theory of competitive markets, using that result in the concluding sections of the paper to examine the (possible) empirical interpretation of economic and social systems as computing devices.
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- K. Vela Velupillai, 2007.
"Sraffa's Mathematical Economics - A Constructive Interpretation,"
Department of Economics Working Papers
0702, Department of Economics, University of Trento, Italia.
- K. Vela Velupillai, 2008. "Sraffa's mathematical economics: a constructive interpretation," Journal of Economic Methodology, Taylor & Francis Journals, vol. 15(4), pages 325-342.
- K. Vela Velupillai, 2006.
"Variations on the Theme of Conning in Mathematical Economics,"
112, National University of Ireland Galway, Department of Economics, revised 2006.
- K. Vela Velupillai, 2007. "Variations on the Theme of Conning in Mathematical Economics," Department of Economics Working Papers 0703, Department of Economics, University of Trento, Italia.
- Koppl, Roger, 2008. "Thinking impossible things: A review essay," Journal of Economic Behavior & Organization, Elsevier, vol. 66(3-4), pages 837-847, June.
- K. Vela Velupillai, 2004.
"The unreasonable ineffectiveness of mathematics in economics,"
Department of Economics Working Papers
0406, Department of Economics, University of Trento, Italia.
- K. Vela Velupillai, 2005. "The unreasonable ineffectiveness of mathematics in economics," Cambridge Journal of Economics, Oxford University Press, vol. 29(6), pages 849-872, November.
- K. Vela Velupillai, 2004. "The Unreasonable Ineffectiveness of Mathematics in Economics," Working Papers 0080, National University of Ireland Galway, Department of Economics, revised 2004.
- Prasad, Kislaya, 1991. "Computability and randomness of Nash equilibrium in infinite games," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 429-442.
- Kislaya Prasad, 2004. "Constructive and Classical Models for Results in Economics and Game Theory," Metroeconomica, Wiley Blackwell, vol. 55(2-3), pages 141-154, 05.
- Lewis, Alain A., 1992. "On turing degrees of Walrasian models and a general impossibility result in the theory of decision-making," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 141-171, November.
- Kumaraswamy Velupillai, 2003. "Essays on computable economics, methodology and the philosophy of science," Department of Economics Working Papers 0308, Department of Economics, University of Trento, Italia.
- Kumaraswamy Velupillai, . "The Computable Approach to Economics," Working Papers _005, University of California at Los Angeles, Center for Computable Economics.
- Lewis, Alain A., 1992. "Some aspects of effectively constructive mathematics that are relevant to the foundations of neoclassical mathematical economics and theory of games," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 209-235, November.
- Stefano Zambelli, 2004. "Production of Ideas by Means of Ideas: A Turing Machine Metaphor," Metroeconomica, Wiley Blackwell, vol. 55(2-3), pages 155-179, 05.
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