A foundation Model for Marxian Breakdown Theories Based on a New Falling Rate of Profit Mechanism (Long Version)

Abstract: The paper presents a foundation model for Marxian theories of the breakdown of capitalism based on a new falling rate of profit mechanism. All of these theories are based on one or more of "the historical tendencies": a rising capital-wage bill ratio, a rising capitalist share and a falling rate of profit. The model is a foundation in the sense that it generates these tendencies in the context of a model with a constant subsistence wage. The newly discovered generating mechanism is based on neo-classical reasoning for a model with land. It is non-Ricardian in that land augmenting technical progress can be unboundedly rapid. Finally, since the model has no steady state, it is necessary to use a new technique, Chaplygin's method, to prove the result.Marx, Falling Rate of Profit, Breakdown of Capitalism

Land, Technical Progress and the Falling Rate of Profit

The paper sets out a one sector growth model with a neoclassical production function in land and a capital-labour aggregate. Capital accumulates through capitalist saving, the labour supply is infinitely elastic at a subsistence wage and all factors may experience factor augmenting technical progress. The main result is that, if the elasticity of substitution between land and the capital-labour aggregate is less than one and if the rate of caital augmenting technical progress is strictly positive, then the rate of profit will fall to zero. The surprise is that this result holds regardless of the rate of land augmenting technical progress; that is, no amount of technical advance in agriculture can stop the fall in the rate of profit. The paper also discusses the relation of this result to the classical and Marxist literature and sets out the path of the relative price of land.Marx, classical economics, falling rate of profit

Marx's Analysis of the Falling Rate of Profit on the First Version Of Volume III of Capital

The paper provides a description and analysis of the Hodgskin section of Theories of Surplus Value and the general law section of the first version of Volume III of Capital. It then considers Part III of Volume III, the evolution of Marx's thought and various interpretations of his theory in the light of this analysis. It is suggested that Marx thought that the rate of profit must fall and even in the 1870s hoped to be able to provide a demonstration of this. However the main conclusions are: 1. Marx's major attempt to show that the rate of profit must fall occurred in the general law section. 2. Part III does not contain a demonstration that the rate of profit must fall. 3. Marx was never able to demonstrate that the rate of profit must fall and he was aware of this.Falling rate of profit, Marx, Natural resources

Capitalism, Unemployment and the Transition to the Contemporary Pattern of Growth

A new model of unemployment based on an idea of Marx is presented and used to interpret the development of the British economy from the beginning of capitalism to the present. It is shown that unemployment may be created purposely by capitalists in order to weaken the bargaining position of the workers. This mechanism leads to complex temporal pattern of unemployment and can explain why wages took almost a century and a half to react to the growing capital to labour ratio that characterised early British capitalism.Capitalism, Marx, Great Britain, unemployment

The Possibility fo Continuous Growth with Exhaustible Resources: Unknowingly an Agreement Has Been Reached, But it May not be Correct

Abstract. It is the size of the elasticity of substitution that has been the central issue in the long debate over the possibility of continuous growth in the presence of exhaustible resources. This paper reviews the debate and comes to the surprising conclusion that , unnoticed by the pessimists, the optimist position has gradually evolved so that it now approximates that of the pessimists. The paper also summarises some preliminary work by the author that indicates that this common position may not be correct.Exhaustible resources, elasticity of substitution, innovation possibility frontier

Gerogescu-Roegen versus Solow/Stiglitz and the Convergence to the Cobb-Douglas

Abstract: The value of the elasticity of substitution of capital for resources is a crucial element in the debate over whether continual growth is possible. It is generally held that the elasticity has to be at least one to permit continual growth and that there is no way of estimating this outside the range of the data. This paper presents a model in which the elasticity is determined endogenously and may converge to one. It is concluded that the general opinion is wrong: that the possibility of continual growth does not depend on the exogenously given value of the elasticity and that the value of the elasticity outside the range of the data can be studied by econometric methods.Exhaustible resources, elasticity of substitution, innovation possibility frontier

A Descriptive and Analytic Look at Marxs Own Explanations for the Falling Rate of Profit (Long Version

Abstract: Marxs conclusions about the falling rate of profit have been analysed exhaustively. Usually this has been done by building models which broadly conform to Marxs views and then showing that his conclusions are either correct or, more frequently, that they can not be sustained. By contrast, this paper examines, both descriptively and analytically, Marxs arguments from the Hodgskin section of Theories of Surplus Value, the General Law section of the recently published Volume 33 of the Collected Works and Chapter 3 of Volume III of Capital. It also gives a new interpretation of Part III of this last work. The main conclusions are first, that Marx had an intrinsic explanation of the falling rate of profit but was unable to give it a satisfactory demonstration and second, that he had a number of subsidiary explanations of which the most important was resource scarcity. The paper closes with an assessment of the pedigree of various currents of Marxian thought on this issue.Marx, Falling Rate of Profit, Natural Resources

A Descriptive and Analytic Look at Marxs Own Explanations for the Falling Rate of Profit

Abstract: Marxs conclusions about the falling rate of profit have been analysed exhaustively. Usually this has been done by building models which broadly conform to Marxs views and then showing that his conclusions are either correct or, more frequently, that they can not be sustained. By contrast, this paper examines, both descriptively and analytically, Marxs arguments from the Hodgskin section of Theories of Surplus Value, the General Law section of the recently published Volume 33 of the Collected Works and Chapter 3 of Volume III of Capital. It also gives a new interpretation of Part III of this last work. The main conclusions are first, that Marx had an intrinsic explanation of the falling rate of profit but was unable to give it a satisfactory demonstration and second, that he had a number of subsidiary explanations of which the most important was resource scarcity. The paper closes with an assessment of the pedigree of various currents of Marxian thought on this issue.Marx, Falling Rate of Profit, Natural Resources

Marxian Insights from the Mainstream

Starting in 1999 a group of papers have appeared in mainstream journals that treat of the relation between capitalism and democracy in an eminently Marxian fashion. These analyses bear on a number of papers published mainly in S&S, specifically those of Castañada, Ellman, Harnacker, Nimtz and Petras. This paper provides résumés of all of these works and then sets out the implications of the mainstream papers for the left wing ones. It concludes by emphasising the importance for the left of the mainstream results.Marxism, Democracy

A Marxian Model of the Breakdown of Capitalism

Abstract: This paper sets out a Marxian model that is based on the one by Stephen Marglin with one sector and continuous substitution. It is extended by adding technical progress and land as a factor of production. It is then shown that capital accumulation causes the preconditions for the breakdown of capitalism to emerge; that is, it causes the organic composition of capital to rise, the rate of profit to fall and the rate of exploitation to rise. A compressed history of the idea of the breakdown of capitalism is then set out and an explanation is given as to how the model relates to this and how it may serve as the basis for further research.Marx, rate of profit, rate of exploitation, composition of capital