Is the theory of a falling profit rate valid?

Marx's theory of the falling rate of profit makes two main appearances in his work. The first is in Chapter 25 of Capital Volume 1, entitled: The General Law of Capitalist Accumulation. It is further developed in Part III of Volume 3 of Capital, entitled The Law of the Tendency of the Rate of Profit to Fall. In this paper I will outline the structure of the theory presented in these two volumes of Capital. Following that I will look at some criticisms that have been levelled at it. I will go on to argue that the criticisms are based on a misunderstanding of some of the dynamic causal mechanisms that Marx assumed. Following on from this I shall present a dynamic solution to the equations of accumulation and show under what circumstances these lead to a falling rate of profit. The dynamic model will then be used to analyse the trajectories of some contemporary capitalist economies and to help understand the current structure of the world economy

3D Visualisation of Oil Reservoirs [POSTER]

No abstract available

Marxian Reproduction Prices Versus Prices of Production: Probability and Convergence

I shall argue two main points. The first is that although Marx is conventionally taken to have formulated two different theories of price in the the three volumes of Capital, labour values in volume I and prices of production in volume III, there is actually a third theory, hidden inside the reproduction schemes of volume II. This theory is not explicit, but can be logically deduced from the constraints that he presents on simple reproduction. It is not a theory of individual prices, but a theory of relative sectoral prices. I will go on to argue that this theory of sectoral prices allows us to make probabilistic arguments about the relative likely-hood that either production prices or labour values will operate at the level of reproduction schemes. This paper provides a measure on the configuration space associated with Marxian prices of production and labour values. By use of random matrix techniques it shows that the solutions space associated with prices of production is similar to that associated with classical labour values. In the latter part of the paper, a sample of reproduction schemes is simulated over time, under assumptions of capital movement, to see whether such systems dynamically converge on prices of production. It is found that some converge, and some fail to converge

Guided Filtering based Pyramidal Stereo Matching for Unrectified Images

Stereo matching deals with recovering quantitative depth information from a set of input images, based on the visual disparity between corresponding points. Generally most of the algorithms assume that the processed images are rectified. As robotics becomes popular, conducting stereo matching in the context of cloth manipulation, such as obtaining the disparity map of the garments from the two cameras of the cloth folding robot, is useful and challenging. This is resulted from the fact of the high efficiency, accuracy and low memory requirement under the usage of high resolution images in order to capture the details (e.g. cloth wrinkles) for the given application (e.g. cloth folding). Meanwhile, the images can be unrectified. Therefore, we propose to adapt guided filtering algorithm into the pyramidical stereo matching framework that works directly for unrectified images. To evaluate the proposed unrectified stereo matching in terms of accuracy, we present three datasets that are suited to especially the characteristics of the task of cloth manipulations. By com- paring the proposed algorithm with two baseline algorithms on those three datasets, we demonstrate that our proposed approach is accurate, efficient and requires low memory. This also shows that rather than relying on image rectification, directly applying stereo matching through the unrectified images can be also quite effective and meanwhile efficien

3D oil reservoir visualisation using octree compression techniques utilising logical grid co-ordinates

Octree compression techniques have been used for several years for compressing large three dimensional data sets into homogeneous regions. This compression technique is ideally suited to datasets which have similar values in clusters. Oil engineers represent reservoirs as a three dimensional grid where hydrocarbons occur naturally in clusters. This research looks at the efficiency of storing these grids using octree compression techniques where grid cells are broken into active and inactive regions. Initial experiments yielded high compression ratios as only active leaf nodes and their ancestor, header nodes are stored as a bitstream to file on disk. Savings in computational time and memory were possible at decompression, as only active leaf nodes are sent to the graphics card eliminating the need of reconstructing the original matrix. This results in a more compact vertex table, which can be loaded into the graphics card quicker and generating shorter refresh delay times

A compiler extension for parallelizing arrays automatically on the cell heterogeneous processor

This paper describes the approaches taken to extend an array programming language compiler using a Virtual SIMD Machine (VSM) model for parallelizing array operations on Cell Broadband Engine heterogeneous machine. This development is part of ongoing work at the University of Glasgow for developing array compilers that are beneficial for applications in many areas such as graphics, multimedia, image processing and scientific computation. Our extended compiler, which is built upon the VSM interface, eases the parallelization processes by allowing automatic parallelisation without the need for any annotations or process directives. The preliminary results demonstrate significant improvement especially on data-intensive applications

Humans, robots and values

The issue of machines replacing humans dates back to the dawn of industrialisation. In this paper we examine what is fundamental in the distinction between human and robotic work by reflecting on the work of the classical political economists and engineers. We examine the relationship between the ideas of machine work and human work on the part of Marx and Watt as well as their role in the creation of economic value. We examine the extent to which artificial power sources could feasibly substitute for human effort in their arguments. We go on to examine the differing views of Smith and Marx with respect to the economic effort contributed by animals and consider whether the philosophical distinction made between human and non-human work can be sustained in the light of modern biological research. We emphasise the non-universal character of animal work before going on to discuss the ideas of universal machines in Capek and Turing giving as a counter example a cloth-folding robot being developed in our School. We then return to Watt and discuss the development of thermodynamics and information theory. We show how recent research has led to a unification not only of these fields but also a unitary understanding of the labour process and the value-creation process. We look at the implications of general robotisation for profitability and the future of capitalism. For this we draw on the work of von Neumann not only on computers but also in economics to point to the {\em real} threat posed by robots

HandiVote: simple, anonymous, and auditable electronic voting

We suggest a set of procedures utilising a range of technologies by which a major democratic deficit of modern society can be addressed. The mechanism, whilst it makes limited use of cryptographic techniques in the background, is based around objects and procedures with which voters are currently familiar. We believe that this holds considerable potential for the extension of democratic participation and control