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Necessary and sufficient conditions for constant prices in a Sraffa’s model

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Języki publikacji
EN
Abstrakty
EN
We give a simple and direct proof of necessary and sufficient conditions to have constant equilibrium prices in a simple Sraffa’s production model. We make some remarks on the linearity of the relation between profit rate and wage rate.
Rocznik
Strony
327--341
Opis fizyczny
Bibliogr. 44 poz.
Twórcy
  • Department of Economics and Management, Via S. Felice, 5 - 27100 Pavia, Italy
Bibliografia
  • ABRAHAM-FROIS, G. and BERREBI, E. (1979) Theory of Value, Prices and Accumulation. A Mathematical Integration of Marx, von Neumann and Sraffa. Cambridge University Press, Cambridge.
  • ABRAHAM-FROIS, G. and BERREBI, E. (1978) Pluralité de marchandises étalons: existence et construction. Revue d’Economie Politique, 88, 688–712.
  • ABRAHAM-FROIS, G. and BERREBI, E. (1989) A la recherche de l’étalon invariable des valeurs. Revue d’Economie Politique, 99, 123–140.
  • ARENA, R. (Ed.) (1990) Sraffa: Trente Ans Après. Presses Universitaires de France, Paris.
  • BALDONE, S. (2006) On Sraffa’s standard commodity: is its price invariant with respect to changes in economic distribution? Cambridge Journal of Economics, 30, 313–319.
  • BELLINO, E. (2004) On Sraffa’s standard commodity. Cambridge Journal of Economics, 28, 121–132.
  • BERMAN, A. and PLEMMONS, R. J. (2014) Nonnegative Matrices in the Mathematical Sciences. Academic Press, New York.
  • BIDARD, C. (1978) Sur le système étalon de Sraffa. Revue d’Economie Politique , 88, 739–745.
  • BIDARD, C. (2004) Prices, Reproduction, Scarcity. Cambridge University Press, Cambridge, U. K.
  • BIDARD, C. (2020) Conditions for the linearity of the wage curve. Metroeconomica, 71, 449–455.
  • BIDARD, C. and SALVADORI, N. (1995) Duality between prices and techniques. European Journal of Political Economy, 11, 379–389.
  • BHARADWAY, K. and SCHEFOLD, B. (Eds.) (1992) Essays on Piero Sraffa: Critical Perspectives on the Revival of Classical Theory. Routledge, London.
  • BLAKLEY, G. R. and GOSSLING, W. F. (1967) The existence, uniqueness and stability of the standard system. The Review of Economic Studies, 34, 427–431.
  • BLAUG, M. (Ed.) (1992) Piero Sraffa (1898-1983). Edward Elgar Publ. Limited, Aldershot.
  • BURMEISTER, E. (1968) On a theorem of Sraffa. Economica, 35, 83–87.
  • BURMEISTER, E. (2008) Equal organic composition of capital and regularity. Metroeconomica, 59, 323–346.
  • DEBREU, G. and HERSTEIN, I. N. (1953) Nonnegative square matrices. Econometrica, 21, 597–607.
  • EMMENEGGER, J. F., CHABLE, D. L., NOUR ELDIN, H. A. and KNOLLE, H. (2020) Sraffa and Leontief Revisited. De Gruyter, Amsterdam.
  • GANTMACHER, F. R. (1959) Applications of the Theory of Matrices. Interscience, New York.
  • GIORGI, G. (1987) On the linearity of the distribution function and the fundamental Marxian theorem in simple Sraffa’s models. Economic Notes by Monte dei Paschi di Siena, 16, 2, 48–59. Reprinted in J. C. Wood (Ed.) Piero Sraffa. Critical Assessments, Vol. III. Routledge, London, 1995, 67–76.
  • GIORGI, G. and ZUCCOTTI, C. (2012) On the linearity of the wage-profit relation in a Sraffa’s model: a mathematical summing-up. Decisions in Economics and Finance, 45, 59–73.
  • HALL, L. J. (2012) A mathematical study of the Sraffa Model. Ciencias Economicas, 30, 77–88.
  • KURZ, H. D. (Ed.) (2000) Critical Essays on Piero Sraffa’s Legacy in Economics . Cambridge Univ. Press, Cambridge, U. K.
  • KURZ, H. D. and SALVADORI, N. (1995) Theory of Production. A Long-Period Analysis. Cambridge Univ. Press, Cambridge.
  • LAURENT, S. (2018) The mathematical justification of the Leontief and Sraffa input-output systems. U.U.D.M. Project Report 2018:43, Uppsala Universitet.
  • MIYAO, T. (1977) A generalization of Sraffa’s standard commodity and its complete characterization. International Economic Review, 18, 151–162.
  • NIKAIDO, H. (1968) Convex Structures and Economic Theory. Academic Press, New York.
  • NIKAIDO, H. (1970) Introduction to Sets and Mappings in Modern Economics. North Holland, Amsterdam.
  • PASINETTI, L. L. (1973) The notion of vertical integration in economic analysis. Metroeconomica, 25, 1–29. Reprinted in L. L. Pasinetti (Ed.), Essays in the Theory of Joint Production. Macmillan, London, 16–43.
  • PASINETTI, L. L. (1979) Lectures on the Theory of Production. Palgrave Macmillan, London.
  • SCHEFOLD, B. (1976) Relative prices as a function of the rate of profit: a mathematical note. Zeitschrift für Nationalökonomie, 36, 21–18.
  • SCHEFOLD, B. (2015) Mr Sraffa on Joint Production and Other Essays. Routledge, London.
  • SHAIKH, A. (2016) Capitalism: Computation, Conflict, Crises. Oxford University Press, Oxford, U. K.
  • SINHA, A. (2010) Theories of Value from Adam Smith to Piero Sraffa. Routledge, London.
  • SINHA, A. (2016) A Revolution in Economic Theory: The Economics of Piero Sraffa. Palgrave Mac Millan, Springer International Publishing AG Switzerland.
  • SINHA, A. (Ed.) (2021) A Reflection on Sraffa’s Revolution in Economic Theory. Palgrave Macmillan, Springer Nature Switzerland AG.
  • SINHA, A. and DUPERTUIS, M.-S. (2009) Sraffa and the question of equilibrium. Cahiers d’Economie Politique, 56, 91–100.
  • SRAFFA, P. (1960) Production of Commodities by Means of Commodities: Prelude to a Critique of Economic Theory. Cambridge Univ. Press, Cambridge.
  • TAKAYAMA, A. (1985) Mathematical Economics. Cambridge Univ. Press, Cambridge.
  • TUCCI, M. (1976) A mathematical formalization of a Sraffa model. Metroeconomica , 28, 16–24.
  • WOOD, J. C. (Ed.) (1995) Piero Sraffa: Critical Assessments. Routledge, London.
  • WOODS, J. E. (1978) Mathematical Economics. Longman, London.
  • WOODS, J. E. (1985) Exercises in relative price invariance. Giornale degli Economisti e Annali di Economia, 44, 135–152.
  • WOODS, J. E. (1990) The Production of Commodities: an Introduction to Sraffa. Macmillan, London.
Typ dokumentu
Bibliografia
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