Keynes’s missing axioms

Kakarot-Handtke, Egmont (2011): Keynes’s missing axioms.

Abstract

Between Keynes’s verbalized theory and its formal basis persists a lacuna. The conceptual groundwork is too small and not general. The quest for a comprehensive formal basis is guided by the question: what is the minimum set of foundational propositions for a consistent reconstruction of the money economy? We start with three structural axioms. The claim of generality entails that it should be possible to prove that Keynes’s formalism is a subset of the structural axiom set. The axioms are applied to a central part of the General Theory in order to achieve consistency and generality.

• Item Type: MPRA Paper
• Language: English
• Keywords: New framework of concept; Structure-centric; Axiom set; Full employment; Intermediate situation; Emergent money; Singularity; System immanent risk; Distributed profit; Saving; Investment; Allais-Identity
• Subjects: E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E12 - Keynes ; Keynesian ; Post-Keynesian; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E25 - Aggregate Factor Income Distribution; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level ; Inflation ; Deflation; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E24 - Employment ; Unemployment ; Wages ; Intergenerational Income Distribution ; Aggregate Human Capital ; Aggregate Labor Productivity; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E40 - General; B - History of Economic Thought, Methodology, and Heterodox Approaches > B4 - Economic Methodology > B41 - Economic Methodology

References

Allais, M. (1993). Les Fondements Comptable de la Macro-Économie. Paris: Presses Universitaires de France, 2nd edition.

Blanchard, O., and Katz, L. F. (1997). What We Know and Do Not Know About the Natural Rate of Unemployment. Journal of Economic Perspectives, 11(1): 51–72.

Boland, L. A. (2003). The Foundations of Economic Method. London, New York, NY,: Routledge, 2nd edition edition.

Boylan, T. A., and O’Gorman, P. F. (2007). Axiomatization and Formalism in Economics. Journal of Economic Surveys, 21(2): 426–446.

Buiter, W. H. (1980). Walras’ Law and All That: Budget Constraints and Balance Sheet Constraints in Period Models and Continuous Time Models. International Economic Review, 21(1): pp. 1–16. URL http://www.jstor.org/stable/2526236.

Chick, V. (1998). On Knowing One’s Place: The Role of Formalism in Economics. The Economic Journal, 108(451): 1859–1869. URL http://www.jstor.org/stable/2565849.

Coddington, A. (1976). Keynesian Economics: The Search for First Principles. Journal of Economic Literature, 14(4): 1258–1273. URL http://www.jstor.org/stable/2722548.

Davidson, P. (1996). Reality and Economic Theory. Journal of Post Keynesian Economics, 18(4): 479–508. URL http://www.jstor.org/stable/4538504.

Davidson, P. (2002). Financial Markets, Money and the Real World. Cheltenham, Northampton, MA: Edward Elgar.

Debreu, G. (1959). Theory of Value. New Haven, London: Yale University Press.

Desai, M. (1989). Endogenous and Exogenous Money. In J. Eatwell, M. Milgate, and P. Newman (Eds.), Money, The New Palgrave, pages 146–150. London, Basingstoke: Macmillan.

Desai, M. (2008). Profit and Profit Theory. In The New Palgrave Dictionary of Economics Online. Palgrave Macmillan, 2nd edition. URL http://www. dictionaryofeconomics.com/article?id=pde2008_P000213.

Dillard, D. (2010). The Theory of a Monetary Economy. In K. K. Kurihara (Ed.), Post Keynesian Economics, pages 3–30. London, New York, NY: Routledge.

Eisner, R. (1995). US National Saving and Budget Deficits. In G. A. Epstein, and H. M. Gintis (Eds.), Macroeconomic Policy After the Conservative Era, pages 109–142. Cambridge: Cambridge University Press.

Ellerman, D. P. (1986). Property Appropriation and Economic Theory. In P. Mirowski (Ed.), The Reconstruction of Economic Theory, pages 41–92. Boston, MA, Dordrecht, Lancaster: Kluwer-Nijhoff.

Föllmer, H. (1974). Random Economies with Many Interacting Agents. Journal of Mathematical Economics, 1: 51–62.

Gordon, D. M. (1995). Putting the Horse (Back) Before the Cart: Disentangling the Macro Relationship between Investment and Saving. In G. A. Epstein, and H. M. Gintis (Eds.), Marcoeconomic Policy After the Conservative Era, pages 57–108. Cambridge: University of Cambridge.

Graziani, A. (1996). Money as Purchasing Power and Money as a Stock of Wealth in Keynesian Economic Thought. In G. Deleplace, and E. J. Nell (Eds.), Money in Motion, pages 139–154. Houndmills, Basingstoke, London: Macmillan.

Hahn, F. (1984). Equilibrium and Macroeconomics. Cambridge, MA: MIT Press.

Hahn, F., and Solow, R. (1997). A Critical Essay on Modern Macroeconomic Theory. Cambridge, MA, London: MIT Press.

Halévy, E. (1960). The Growth of Philosophic Radicalism. Boston, MA: Beacon Press.

Heilbroner, R., and Milberg, W. (1995). The Crisis of Vision of Modern Economic Thought. Cambridge, New York, NY, Melbourne: Cambridge University Press.

Heilbroner, R. L. (1942). Saving and Investments: Dynamic Aspects. American Economic Review, 32(4): 827–828. URL http://www.jstor.org/stable/1816763.

Hicks, J. R. (1939). Value and Capital. Oxford: Clarendon Press, 2nd edition.

Hollander, S. (1977). Adam Smith and the Self-Interest Axiom. Journal of Law and Economics, 20(1): 133–152. URL http://www.jstor.org/stable/725090.

Jevons, W. S. (1911). The Theory of Political Economy. London, Bombay, etc.: Macmillan, 4th edition.

Kakarot-Handtke, E. (2011). The Pure Logic of Value, Profit, Interest. SSRN Working Paper Series, pages 1–21. URL http://ssrn.com/abstract=1838203.

Kalecki, M. (1987). Bestimmungsgrößen der Profite. In Krise und Prosperität im Kapitalismus, pages 133–147. Marburg: Metropolis.

Keynes, J. M. (1971). A Treatise on Money. The Collected Writings of John Maynard Keynes Vol. V. London, Basingstoke: Macmillan.

Keynes, J. M. (1973). The General Theory of Employment Interest and Money. The Collected Writings of John Maynard Keynes Vol. VII. London, Basingstoke: Macmillan.

Knight, F. H. (2006). Risk, Uncertainty and Profit. Mineola, NY: Dover.

Kreuzenkamp, H. A., and McAleer, M. (1995). Simplicity, Scientific Inference and Econometric Modeling. Economic Journal, 105: 1–21. URL http://www.jstor.org/stable/2235317.

Laidler, D. (1999). Fabricating the Keynesian Revolution. Cambridge: Cambridge University Press.

Lavoie, M. (1992). Foundations of Post-Keynesian Economics. Cheltenham: Edward Elgar.

Leijonhufvud, A. (2009). Out of the Corridor: Keynes and the Crisis. Cambridge Journal of Economics, 33: 741–757.

Lerner, A. P. (1938). Saving Equals Investment. Quarterly Journal of Economics, 52: 297–309. URL http://www.jstor.org/stable/1881736.

Lutz, F. A. (1938). The Outcome of the Saving-Investment-Discussion. Quarterly Journal of Economics, 52: 588–614. URL http://www.jstor.org/stable/1885035.

Mill, J. S. (2006). A System of Logic Ratiocinative and Inductive. Being a ConnectedView of the Principles of Evidence and the Methods of Scientific Investigation, volume 8 of Collected Works of John Stuart Mill. Indianapolis, IN: Liberty Fund.

O’Donnell, R. (1997). Keynes and Formalism. In G. C. Harcourt, and P. A. Riach (Eds.), A ’Second Edition’ of The General Theory, volume 2, pages 131–165. Oxon: Routledge.

Ohlin, B. (1937). Some Notes on the Stockholm Theory of Savings and InvestmentI. Economic Journal, 47(185): 53–69. URL http://www.jstor.org/stable/2225278.

Patinkin, D. (1989a). Neutrality of Money. In J. Eatwell, M. Milgate, and P. Newman (Eds.), Money, The New Palgrave, pages 273–287. London, Basingstoke: Macmillan.

Patinkin, D. (1989b). Walras’s Law. In J. Eatwell, M. Milgate, and P. Newman (Eds.), General Equilibrium, The New Palgrave, pages 328–339. New York, NY, London: Macmillan.

Phillips, A. W. (1958). The Relation Between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861-1957. Economica, 25: 283–299. URL http://www.jstor.org/stable/2550759.

Popper, K. R. (1980). The Logic of Scientific Discovery. London, Melbourne, Sydney: Hutchison, 10th edition.

Robinson, J. (1956). The Accumulation of Capital. London: Macmillan.

Rotheim, R. J. (1981). Keynes’ Monetary Theory of Value (1933). Journal of Post Keynesian Economics, 3(4): 568–585. URL http://www.jstor.org/stable/4537623.

Samuelson, P. A., and Nordhaus, W. D. (1998). Economics. Boston, MA, Burr Ridge, IL, Dubuque, IA, etc.: Irwin, McGraw-Hill, 16th edition.

Schmitt, B. (1996). A New Paradigm for the Determination of Money Prices. In G. Deleplace, and E. J. Nell (Eds.), Money in Motion, pages 104–138. Houndmills, Basingstoke, London: Macmillan.

Schumpeter, J. A. (2008). The Theory of Economic Development. An Inquiry into Profits, Capital, Credit, Interest, and the Business Cycle. New Brunswick, NJ, London: Transaction Publishers. (1934).

Shaik, A. (1980). Laws of Production and Laws of Algebra: Humbug II. In E. J. Nell (Ed.), Growth, Profits, and Property, pages 80–95. Cambridge, New York, NY, Melbourne: Cambridge University Press.

Stigum, B. P. (1991). Toward a Formal Science of Economics: The Axiomatic Method in Economics and Econometrics. Cambridge, MA: MIT Press.

von Neumann, J., and Morgenstern, O. (2007). Theory of Games and Economic Behavior. Princeton: Princeton University Press. (1944).

Wagner, A. (2009). Makroökonomik mit ungültigen Definitionsgleichungen. In A. Wagner (Ed.), Empirische Wirtschaftsforschung heute, pages 125–147. Stuttgart: Schäffer-Poeschel.

Wicksell, K. (1936). Interest and Prices. London: Macmillan.