Is Marx's absolute rent due to a monopoly price?

ABSTRACT

Absolute rent, in Marx's view, has an upper limit represented by the difference between the value and the price of production of agricultural commodities. The relevance of this limit was questioned by Bortkiewicz because of the difficulties concerning the argument which Marx based it on. The lack of this upper limit prompted some scholars to claim that there is no difference between absolute rent and a rent paid by a monopoly price. Referring to the classical/Marxian theory of monopoly price, we shall argue that it is still possible to distinguish absolute rent from a rent due to a monopoly price.     

Bayesian smooth-and-match inference for ordinary differential equations models linear in the parameters

Dynamic processes are crucial in many empirical fields, such as in oceanography, climate science, and engineering. Processes that evolve through time are often well described by systems of ordinary differential equations (ODEs). Fitting ODEs to data has long been a bottleneck because the analytical solution of general systems of ODEs is often not explicitly available. We focus on a class of inference techniques that uses smoothing to avoid direct integration. In particular, we develop a Bayesian smooth-and-match strategy that approximates the ODE solution while performing Bayesian inference on the model parameters. We incorporate in the strategy two main sources of uncertainty: the noise level of the measured observations and the model approximation error. We assess the performance of the proposed approach in an extensive simulation study and on a canonical data set of neuronal electrical activity.     

Real Wicksell Effect,Demand for Capital and Stability

The aim of this paper is to study the relationship between reverse capital deepening and instability of the equilibrium between investments and savings. It is shown for a model with n commodities, infinitely many linear technique of production, and overlapping generations that a badly behaved real Wicksell effect, as in the case of a ‘reswitching of techniques’, can involve instability.     

ON THE SECOND STAGE OF THE CAMBRIDGE CAPITAL CONTROVERSY

The second stage of the Cambridge capital controversy concerns the neo‐Walrasian theory of value and distribution. Since production is not understood in this theory as employing factors of production but rather commodities, that is goods and services with date and place of delivery, some scholars maintained that it is not affected by the problems that emerged, during the first stage of the controversy, as regards the conception of capital as a factor of production and the rate of interest as the price for its use. The reply of the ‘neo‐Ricardians’ was based on two arguments. The first regarded the relevance of the new notions of equilibrium adopted in the neo‐Walrasian approach, with particular reference to temporary and Arrow–Debreu equilibria, and the second the possibility that the phenomena of re‐switching and reverse capital deepening, by affecting the working of the saving‐investment market, could cause equilibrium multiplicity and instability also in a neo‐Walrasian framework.     

ECONOMIC GENERALITY VERSUS MATHEMATICAL GENERICITY: ACTIVITY‐LEVEL INDETERMINACY AND THE INDEX THEOREM IN CONSTANT RETURNS PRODUCTION ECONOMIES

When the mathematical concept of genericity was arrived at in economics, it was meant more or less as a synonym for generality. Referring to constant return production economies, we will argue that this is not always the case. In particular, the representation of technology that is mathematically generic is not at all general for economists. We will see that in cases that are economically general, but not mathematically generic, activity‐level indeterminacy may occur. In these cases, Kehoe's index theorem, a well‐known result of the application of the differentiable approach to production economies, becomes unusable.     

A Note on Reswitching and Intertemporal Prices

Abstract

Bliss (Capital Theory and Distribution of Income, Amsterdam/New York: North-Holland/Elsevier) claims that reswitching is nothing but an ‘optical illusion’ due to the exclusion of non-stationary price sequences from the analysis. This note develops this point. The standard case for choice of techniques and reswitching is reformulated in terms of Arrow-Debreu intertemporal prices and the conditions making these prices stationary are highlighted separately. It is then shown that the analysis of the choice of techniques in terms of ‘switch points’ requires stationary conditions.     

The Hicks‐Malinvaud average period of production and ‘marginal productivity’: A critical assessment

Abstract

Malinvaud took up the concept of the average period of production introduced by Hicks in Value and Capital and then Capital and Time, in an article of 2003 celebrating Wicksell's contribution to the theory of capital, where he observed that once techniques are ranked according to the average period for a given initial rate of interest, a rise in the rate of interest entails the use of a technique with a shorter average period. After a brief reconstruction of Malinvaud's argument, it is shown that the result is far less encouraging for neoclassical theory than it might seem. The most important problem is not the fact that change in the interest rate affects the average period of production associated with a technique, despite the concern this aroused in Hicks and Malinvaud, but rather that it affects the ranking of techniques. An example with two techniques is used to show that a rise in the rate of interest entails the use of a technique with a shorter average period even in the case of reswitching simply because the ranking of techniques is inverted at the two switch points.     

Neoclassical theories of stationary relative prices and the supply of capital

In the traditional versions of the neoclassical theory of value and distribution, the stock of existing capital, understood as either an amount of value or an endowment of capital goods, was taken as given together with the available quantities of labour and natural resources. This characteristic of the early neoclassical theories is analysed through comparison with the modern neo‐Walrasian models of stationary equilibrium, where the stock of capital is not among the givens. It is shown here that the attempt to present capital as a factor of production on a par with labour and land led the early neoclassical authors to write the zero‐net‐accumulation condition, which was required by the stationarity of relative prices, in the form of a market‐clearing condition for the supply of and demand for capital. The rate of interest was therefore understood as the price determined by this market. As is known, however, the view of capital as a factor of production and the rate of interest as the price for its use failed to work and involved several problems, some of which are discussed here.