Variations on the theme of Conning in mathematical economics

Journal of Economic Surveys

Volumn 21, Issue 3, 2007, Pages 466-505

  Velupillai, K Vela ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

General equilibrium theory; Mathematical economics; Rational expectations equilibrium; Theory of policy

Indexed keywords

ECONOMETRICS; ECONOMIC ANALYSIS; ECONOMIC THEORY; GAME THEORY; GENERAL EQUILIBRIUM ANALYSIS;

EID: 34250893803     PISSN: 09500804     EISSN: 14676419     Source Type: Journal    
DOI: 10.1111/j.1467-6419.2007.00511.x     Document Type: Article

References (69)

1. Adda, J. and Cooper, R. (2003) Dynamic Economics: Quantitative Methods and Applications. Cambridge, MA: MIT Press.
2. Atiyeh, Sir M. (2002) Mathematics in the 20th century. Bulletin of the London Mathematical Society 34: 1-15.
3. Aubert, K.E. (1982a) Accurate predictions and fixed point theorems. Social Science Information 21 (3): 323-348.
4. Aubert, K.E. (1982b) Accurate predictions and fixed point theorems: A reply to Simon. Social Science Information 21 (4/5): 612-622.
5. Axtell, R. (2005) The complexity of exchange. The Economic Journal 115 (June): F 193-F 210.
6. Beeson, M.J. (1985) Foundations of Constructive Mathematics. Heidelberg and New York: Springer.
7. Brin, M. and Stuck, G. (2002) Introduction to Dynamical Systems. Cambridge: Cambridge University Press.
8. Clower, R.W. and Howitt, P.W. (1978) The transactions theory of the demand for money: A restatement. Journal of Political Economy 86 (3): 449-465.
9. Cooper, S.B. (2004) Computability Theory. Boca Raton, FL, and London: Chapman & Hall/CRC.
10. Cutland, N.J. (1980) Computability: An Introduction to Recursive Function Theory. Cambridge: Cambridge University Press.
11. Davis, M., Sigal, R. and Weyuker, E.J. (1994) Computability, Complexity and Languages: Fundamentals of Theoretical Computer Science (2nd edn). London: Academic Press.
12. Debreu, G. (1984) Economic theory in the mathematical mode. American Economic Review 74 (3): 267-278.
13. Debreu, G. (1986a) Mathematical Economics: Twenty Papers of Gerard Debreu, with an Introduction by Werner Hildenbrand. Cambridge: Cambridge University Press.
14. Debreu, G. (1986b) Theoretic models: Mathematical form and economic content. Econometrica 54 (6): 1259-1270.
15. Debreu, G. (1991) The mathematization of economic theory. American Economic Review 81 (1): 1-7.
16. Denardo, E.V. (1967) Contraction mappings in the theory underlying dynamic programming. SIAM Review 10 (2): 165-177.
17. Forsyth, G.E. (1970) Pitfalls in computation, or why a math book isn't enough. American Mathematical Monthly 77 (9): 931-956.
18. Gandy, R. (1980) Church's thesis and principles for mechanisms. In J. Barwise, H.J. Keisler and K. Kunen (eds), The Kleene Symposium. Amsterdam: North-Holland.
19. Grunberg, E. and Modigliani, F.M. (1954) The predictability of social events. Journal of Political Economy LXII (6): 465-478.
20. Hirsch, M.W. and Smale, S. (1974) Differential Equations, Dynamical Systems and Linear Algebra. New York and London: Academic Press.
21. Kaldor, N. (1989) John von Neumann: A personal recollection, as Foreword. In M. Dore, R.M. Goodwin and S. Chakravarty (eds), John von Neumann and Modern Economics. Oxford: Clarendon Press.
22. Kreisel, G. (1974) A notion of mechanistic theory. Synthese 29: 11-26.
23. Kreisel, G. (1982) Review of "A computable ordinary differential equation which possesses no computable solution; the wave equation with computable initial data such that its unique solution is not computable". Journal of Symbolic Logic 47 (4): 900-902.
24. Kuratowski, K. and Mostowski, A. (1976) Set Theory-With an Introduction to Descriptive Set Theory. Amsterdam: North-Holland.
25. Kydland, F. and Prescott, E.C. (1980) A competitive theory of fluctuations and the feasibility and desirability of stabilization policy. In S. Fischer (ed.), Rational Expectations and Economic Policy (Ch. 5, pp. 169-198). Chicago, IL, and London: University of Chicago Press.
26. Kydland, F.E. and Prescott, E.C. (1996) The computational experiment: An econometric tool. Journal of Economic Perspectives 10 (1): 69-85.
27. Leamer, E.E. (1983) Let's take the con out of econometrics. American Economic Review 73 (1): 31-43.
28. Li, M. and Vitanyi, P. (1993) An Introduction to Kolmogorov Complexity and its Applications. New York and Heidelberg: Springer.
29. Lucas, R.E., Jr (1981) Studies in Business-Cycle Theory. Oxford: Basil Blackwell.
30. Manna, Z. (1974) Mathematical Theory of Computation. Tokyo: McGraw-Hill Kogakusha.
31. Marsden, J.E. and Hoffman, M.J. (1993) Elementary Classical Analysis (2nd edn). New York: W.H. Freeman.
32. Moret, B.M. (1998) The Theory of Computation. Reading, MA: Addison-Wesley.
33. Muth, J.F. (1961) Rational expectations and the theory of price movements. Econometrica 29 (6): 315-335.
34. von Neumann, J. (1928) Zur theorie der gesellsschaftsspiele. Mathematische Annalen 100: 295-320.
35. von Neumann, J. (1945-46) A model of general economic equilibrium. Review of Economic Studies 13: 1-9.
36. Pareto, V. (1971). Manual of Political Economy, translated from the French edition of 1927 by A.S. Schwier and edited by A.S. Schwier and A.N. Page. London: Macmillan.
37. Phelps, E.S. (1979) Studies in Macroeconomic Theory, Vol. 1: Employment and Inflation. New York: Academic Press.
38. Pour-El, M.B. and Richards, I.R. (1979) A computable ordinary differential equation which possesses no computable solution. Annals of Mathematical Logic 17: 61-90.
39. Prescott, E.C. (2004a) Interview (with Nina Mehta) at http://www.fenews.com/fen41/one_on_one/one_on_one.html
40. Prescott, E.C. (2004b) The transformation of macroeconomic policy and research. Nobel Prize Lecture, 8 December, p. 24.
41. Rogers, H., Jr (1987) Theory of Recursive Functions and Effective Computability. Cambridge, MA: MIT Press.
42. Roth, A.E. (1994) Let's keep the con out of experimental economics: A methodological note. Empirical Economics 19: 279-289.
43. Samuelson, P.A. (1952) Economic theory and mathematics - an appraisal. American Economic Review, Papers and Proceedings 42 (2): 56-66.
44. Sargent, T.J. (1993) Bounded Rationality in Macroeconomics. Oxford: Clarendon Press.
45. Scarf, H.E. (1973) The Computation of Economic Equilibria (with the collaboration of Terje Hansen). New Haven, CT, and London: Yale University Press.
46. Schwartz, J.T. (1961) Lectures on the Mathematical Method in Analytical Economics. New York: Gordon and Breach.
47. Schwartz, J.T. (1986) The pernicious influence of mathematics on science. In M. Kac, G.-C. Rota and J.T. Schwartz (eds), Discrete Thoughts - Essays on Mathematics, Science, and Philosophy. Boston, MA: Birkhaüser.
48. Shanks, D. (1978) Solved and Unsolved Problems in Number Theory. New York: Chelsea Publishing.
49. Shoven, J.B. and Whalley, J.W. (1972) A general equilibrium calculation of the differential taxation of income from capital in the U.S. Journal of Public Economics 1 (3-4): 281-321.
50. Simon, H. (1954) Bandwagon and underdog effects of election predictions (1954, 1957). In Models of Man - Social and Rational. New York: Wiley.
51. Simon, H. (1982a) Accurate predictions and fixed point theorems: comments. Social Science Information 21 (4/5): 605-626.
52. Simon, H. (1982b) Final comment. Social Science Information 21 (4/5): 622-624.
53. Smale, S. (1976) Dynamics in general equilibrium theory. American Economic Review 66 (2): 288-294.
54. Smale, S. (1981) Global analysis and economics. In K.J. Arrow and M.D. Intriligator (eds), Handbook of Mathematical Economics, Vol. 1 (Ch. 8, pp. 331-370). Amsterdam: North-Holland.
55. Smale, S. (1998) Mathematical problems for the next century. The Mathematical Intelligencer 20 (2): 7-15.
56. Sraffa, P. (1960) Production of Commodities by Means of Commodities: A Prelude to a Critique of Economic Theory. Cambridge: Cambridge University Press.
57. Steinhaus, H. (1965) Games, an informal talk. American Mathematical Monthly 72 (5): 457-468.
58. Stigler, G.J. (1948) Review [of Foundations of Economics Analysis by Paul Samuelson]. Journal of the American Statistical Association 43 (244): 603-605.
59. Suzumura, K. (1973) Professor Uzawa's equivalence theorem: A note. Economic Studies Quarterly 8 (1): 67-70.
60. Suzumura, K. (1983) Rational Choice, Collective Decisions and Social Welfare. Cambridge: Cambridge University Press.
61. Tall, D. and Vinner, S.V. (1981) Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics 12 (2): 151-169.
62. Velupillai, K. (2000) Computable Economics. Oxford: Oxford University Press.
63. Velupillai, K.V. (2002) Effectivity and constructivity in economic theory. Journal of Economic Behavior and Organization 49 (3): 307-325.
64. Velupillai, K.V. (2003) Economic dynamics and computation-resurrecting the Icarus tradition. Metroeconomica 55 (2-3): 239-264.
65. Velupillai, K.V. (2005) The unreasonable ineffectiveness of mathematics in economics. Cambridge Journal of Economics 29 (6): 849-872.
66. Velupillai, K.V. (2006) Algorithmic foundations of computable general equilibrium theory. Applied Mathematics and Computation 179: 360-369.
67. Velupillai, K.V. (2007) Sraffa's mathematical economics - a constructive interpretation. Journal of Economic Methodology, forthcoming.
68. Wolfram, S. (1984) Computation theory of cellular automata. Communications in Mathematical Physics 96: 15-57.
69. Zermelo, E. (1912) Über ein Anwendung der Mengenlehre auf die Theorie des Schachspiels. Proceedings of the Fifth International Congress of Mathematicians, Cambridge, Vol. 2, pp. 501-504.