This book develops a unified treatment of the income distribution–capital–value problems with respect to actual economies, and then gradually turns to the issues of effective demand and capitalist accumulation fluctuations from both political economy and economic policy perspectives. That treatment, on the one hand, places produced means of production, positive profits, and capital accumulation at the centre of the analysis and, on the other hand, is analytically based on the modern control theory. Hence, the authors’ investigation is concerned with input–output representations of actual single and joint production, heterogeneous labour, and open economies; zeroes in on the characteristic value distributions of the system matrices; and, finally, derives meaningful theoretical results consistent with the empirical evidence, and vice versa. The main topics addressed are the uncontrollable/unobservable aspects of the real-world economies, the powerful low-order spectral approximations and reconstructions of the inter-industry structure of production–value–distributive variables relationships, the critical-constructive appraisal of both “mainstream” and “radical” theories of value, the matrix demand multipliers and demand-switching policies in heterogeneous capital worlds, and the circular inter-actions amongst income distribution, effective demand, accumulation, and technical conditions of production. Written on the occasion of the 60th anniversary of the publication of both Piero Sraffa’s Production of Commodities by Means of Commodities and Rudolf E. Kalman’s paper “On the general theory of control systems”, this book provides a consistent and comprehensive framework for theoretical, empirical, and economic policy research.

This book develops a unified treatment of the income distribution-capital-value problems with respect to actual economies, and then gradually turns to the issues of effective demand and capitalist accumulation fluctuations from both political economy and economic policy perspectives. That treatment, on the one hand, places produced means of production, positive profits, and capital accumulation at the centre of the analysis and, on the other hand, is analytically based on the modern control theory. Hence, the authors' investigation is concerned with input-output representations of actual single and joint production, heterogeneous labour, and open economies; zeroes in on the characteristic value distributions of the system matrices; and, finally, derives meaningful theoretical results consistent with the empirical evidence, and vice versa. The main topics addressed are the uncontrollable/unobservable aspects of the real-world economies, the powerful low-order spectral approximations and reconstructions of the inter-industry structure of production-value-distributive variables relationships, the critical-constructive appraisal of both "mainstream" and "radical" theories of value, the matrix demand multipliers and demand-switching policies in heterogeneous capital worlds, and the circular inter-actions amongst income distribution, effective demand, accumulation, and technical conditions of production. Written on the occasion of the 60th anniversary of the publication of both Piero Sraffa's Production of Commodities by Means of Commodities and Rudolf E. Kalman's paper "On the general theory of control systems", this book provides a consistent and comprehensive framework for theoretical, empirical, and economic policy research.

In recent years, there have been a number of new developments in what came to be known as the "Capital Theory Debates". The debates took place mainly during the 1960s as a result of Piero Sraffa's critique of the neoclassical theory according to which the prices of factors of production directly depend on their relative scarcities. Sraffa showed that when income distribution changes, there are many complexities developed within the economic system impacting on prices in ways which are not possible to predict. These debates were revisited in the 1980s and again more recently, along with a parallel literature that has developed among neoclassical economists and has also looked at the impact of shocks on an economy. This book summarizes the debates and issues around the theory of capital and brings to the fore the more recent developments. It also pinpoints the similarities and differences between the various approaches and critically evaluates them in light of available empirical evidence. The focus of the book is on the price trajectories induced by changes in income distribution and the resulting shape of the wage rates of profit curves and frontier. These issues are central to areas such as microeconomics, international trade, growth, technological change and macro stability analysis. Each chapter starts with the theoretical issues involved, followed by their formalization and subsequently with their operationalization. More specifically, the variables of the classical theory of value and distribution are rigorously defined and quantified using actual input–output data from a number of major economies, but mainly from the USA, over long stretches of time. The empirical results are not only consistent with the anticipations of the theory but also further inform and therefore strengthen its predictive content raising new significant questions.

Presents the theory for calculating Raman line shapes as functions of the Fermi energy and finite temperatures in zinc blende, n-type GaAs for donor densities between 10 to the 16th cm -3 and 10 to the 19th cm -3. Compared to other theories, this theory is unique in two respects: (1) the many-body effects are treated self-consistently; and (2) the theory is valid at room temperature for arbitrary values of the ratio R = (Q to the 2nd/alpha), where Q is the magnitude of the normalization wave vector and alpha is the normalized frequency used in the Raman measurements. These calculations solve the charge neutrality equation self-consistently for a two-band model of GaAs at 300 K that includes the effects of high carrier concentrations and dopant densities on the perturbed densities of states used to calculate the Fermi energy as a function of temperature. Illus.

The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.

Brings together dynamic equilibrium theory, data analysis, and advanced econometric and computational methods to provide a comprehensive set of techniques for use by academic economists as well as professional macroeconomists in various fields. This book starts from a class of DSGE models and describes methods needed to estimate their parameters.

Dramatic and controversial changes in the funding of science over the past two decades, towards its increasing commercialization, have stimulated a huge literature trying to set out an "economics of science". Whether broadly in favour or against these changes, the vast majority of these frameworks employ ahistorical analyses that cannot conceptualise, let alone address, the questions of "why have these changes occurred?" and "why now?" Nor, therefore, can they offer much insight into the crucial question of future trends. Given the growing importance of science and innovation in an age of both a globalizing knowledge-based economy (itself in crisis) and enormous challenges that demand scientific and technological responses, these are significant gaps in our understanding of important contemporary social processes. This book argues that the fundamental underlying problem in all cases is the ontological shallowness of these theories, which can only be remedied by attention to ontological presuppositions. Conversely, a critical realist approach affords the integration of a realist political economy into the analysis of the economics of science that does afford explicit attention to these crucial questions; a ‘cultural political economy of research and innovation’ (CPERI). Accordingly, the book sets out an introduction to the existing literature on the economics of science together with novel discussion of the field from a critical realist perspective. In arguing thus across levels of abstraction, however, the book also explores how concerted engagement with substantive social enquiry and theoretical debate develops and strengthens critical realism as a philosophical project, rather than simply ‘applying’ it. While the first of these two volumes argues how mainstream economics is inadequate to the task of an explanatory and critical ‘economics of science’, the challenge in this second volume is to examine the strengths and weaknesses of disciplines offering more promising starting points. Two social scientific disciplines are particularly promising candidates, starting from ‘economy’ or ‘science’, namely heterodox political economy and science & technology studies respectively. Synthesising these into an ‘economics of science’, however, still encounters considerable hurdles, in that there remain some fundamental and mutual philosophical incompatibilities. Formulating an ‘economics of science’ thus demands that both ‘economics’ and ‘science’ be redefined. The book explores how a critical realist approach affords some common ground upon which this productive synthesis may be pursued, in the form of a cultural political economy of research and innovation (CPERI).

This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter. Chapters 2-4 are devoted to models of economic dynamics and present a detailed study of the properties of optimal trajectories. These properties are described in terms of theorems on characteristics (on the existence of dual prices) and turnpike theorems (theorems on asymptotic trajectories). In Chapter 5, we state and study a model of economic equilibrium. The basic idea is to establish a theorem about the existence of an equilibrium state for the Arrow-Debreu model and a certain generalization of it.

This book promotes an in-depth understanding of the key mechanisms that govern the functioning of capitalist economies, pursuing a Classical Political Economics approach to do so. It explores central theoretical issues addressed by the classical economists Smith and Ricardo, as well as Marx, while also operationalizing more recent theoretical developments inspired by the works of Sraffa and other modern classical economists, using actual data from major economies. On the basis of this approach, the book subsequently provides alternative explanations for various microeconomic issues such as the determination of equilibrium prices and their movement induced by changes in income distribution; the dynamics of competition of firms within and between industries; the law of tendential equalization of interindustry profit rates; and international exchanges and transfers of value; as well as macroeconomic issues concerning capital accumulation and cyclical economic growth. Given its scope, the book will benefit all researchers, students, and policymakers seeking new explanations for observed phenomena and interested in the mechanisms that give rise to surface economic categories, such as prices, profits, the unemployment rate, interest rates, and long economic cycles.

Essential Mathematics for Economics covers mathematical topics that are essential for economic analysis in a concise but rigorous fashion. The book covers selected topics such as linear algebra, real analysis, convex analysis, constrained optimization, dynamic programming, and numerical analysis in a single volume. The book is entirely self-contained, and almost all propositions are proved. Features Replete with exercises and illuminating examples Suitable as a primary text for an advanced undergraduate or postgraduate course on mathematics for economics Basic linear algebra and real analysis are the only prerequisites. Supplementary materials such as Matlab codes, teaching slides etc. are posted on the book website https://github.com/alexisakira/EME.