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A dual theory of price and value in a meso-scale economic model with stochastic profit rate

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  • Greenblatt, R.E.

Abstract

The problem of commodity price determination in a market-based, capitalist economy has a long and contentious history. Neoclassical microeconomic theories are based typically on marginal utility assumptions, while classical macroeconomic theories tend to be value-based. In the current work, I study a simplified meso-scale model of a commodity capitalist economy. The production/exchange model is represented by a network whose nodes are firms, workers, capitalists, and markets, and whose directed edges represent physical or monetary flows. A pair of multivariate linear equations with stochastic input parameters represent physical (supply/demand) and monetary (income/expense) balance. The input parameters yield a non-degenerate profit rate distribution across firms. Labor time and price are found to be eigenvector solutions to the respective balance equations. A simple relation is derived relating the expected value of commodity price to commodity labor content. Results of Monte Carlo simulations are consistent with the stochastic price/labor content relation.

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  • Greenblatt, R.E., 2014. "A dual theory of price and value in a meso-scale economic model with stochastic profit rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 518-531.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:518-531
    DOI: 10.1016/j.physa.2014.08.061
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    1. Anwar M. Shaikh, 1998. "The Empirical Strength of the Labour Theory of Value," Palgrave Macmillan Books, in: Riccardo Bellofiore (ed.), Marxian Economics: A Reappraisal, chapter 15, pages 225-251, Palgrave Macmillan.
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    Cited by:

    1. Jonathan F. Cogliano & Roberto Veneziani & Naoki Yoshihara, 2022. "Computational methods and classical‐Marxian economics," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 310-349, April.

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