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Complexity, Self-organization, and Political Economy by Duncan K. Foley Department of Economics Graduate Faculty, New School University 65 Fifth Avenue, New York, NY 10003 [email protected] What are “complex systems”? • Highly organized, decentralized systems composed of very large numbers of individual components Examples • The cell, which organizes the function of thousands of proteins • The human brain, organized out of millions of neurons • Ecological systems made up of thousands of species • Biological evolution • The capitalist economy, composed of millions of human individuals, each a complex entity 1 General characteristics of complex systems • Potential to configure their component parts in an astronomically large number of ways (they are complex ) • Constantly changing in response to environmental stimulus and their own development (they are adaptive) • Tendency to stable patterns (they are selforganizing) • Avoidance of stable, self-reproducing states (they are non-equilibrium systems) 2 Complexity analysis • Empirical and inductive • Uses simplified and abstract models of complex systems with large numbers of highly stylized and simplified components • Generalizes from computer simulations of particular examples • Problem of generalization to general properties of systems 3 The Classical political economic vision • Individual economic actions have unintended social consequences • Economic life is organized and coherent in ways that no economic actor envisions or controls. • Regularities emerge from turbulent, nonstationary evolutionary processes 4 Competition of capitals (Smith) • Each capitalist maximizes potential rate of growth of capital (profit rate) by investing in the most promising line of production • Capital moves from ceaselessly from low to high profit rate sectors • The effect is the emergence of an average profit rate around which actual profit rates fluctuate • Competition tends to maximize the profit rate of the national capital (the wealth of the nation) 5 Long-period method • Competition does not lead to an equalization of profit rates at any moment (turbulence) • Ceaseless fluctuation of prices around longperiod natural prices which would yield equal rates of profit in all sectors • Market prices gravitate around natural prices • The abstract concept of long-period natural prices explains the concrete fluctuations of market prices • Contrast with neoclassical conception of attained equilibrium 6 An example of a complex social system • Brian Arthur’s “El Farol” is a local pub which is fun to visit when it has no more than 60 people. Several hundred “regular” customers have to decide whether to go each night. Each regular has a whole group of models that predict how many people will be in the bar. Each regular customer adopts the model that has best fit the data of past attendance. In simulations the attendance at the bar hovers around 60 customers each night, reflecting a robust self-organizing tendency. But there is no equilibrium in the microstate which describes the model and behavior of each particular customer 7 Complexity in social systems • Similar forces lie behind many social phenomena, such as the distribution of taxis in large cities, the size and growth rates of urban centers, the outbreak of wars, and the like • The analogy with the Classical theory of competition is clear. The individual profitseeking capitalists of the Classical story do not settle on one equilibrium plan or strategy. But despite their failure to reach any equilibrium in their own behavior, they tend to equalize profit rates. 8 Classical vision and complex systems • The Classical vision is consistent with the complex systems view • The disequilibrium behavior of households and firms enforces gravitation • Classical competition is robust, since it works even if competition is not perfect • Capitalist economy is self-organized by competition 9 Capital accumulation and the division of labor: Smith • Economic development arises from the division of labor that arises as a result of the widening extent of the market. The accumulation of capital extends the market, both by increasing the wealth and income of the population, and increasing population itself • The accumulation of capital is part of a “virtuous cycle”: accumulation increases the extent of the market, which in turn fosters a wider and deeper division of labor, increasing labor productivity, profit rates, and accumulation • This self-reinforcing cycle is the basic metabolism of capitalist economic development, responsible both for its creative triumphs and its destructive paroxysms 10 Classical and neoclassical visions of the market economy • Neoclassical analysis identifies the Invisible Hand with the tendency for competition to achieve an equilibrium with an efficient use of existing resources • Neoclassical competitive equilibrium is incompatible with increasing returns to the scale of production implied by the division of labor • Smithian growth and development are irreversible processes characteristic of complex systems • Smith can explain the metabolic processes, accumulation and competition, that support the evolution of the capitalist economy, but not its specific technological or sociological history 11 Malthus and Ricardo • Malthus described a stable demographic equilibrium in which high mortality balances high fertility. If mortality falls population increases. The larger population encounters diminishing returns in the face of limited land so that the standard of living falls, raising mortality and lowering fertility. Wrong, but another example of self-organization • In Ricardo’s stationary state the pressure of capital and population on limited land raises rent and forces the profit rate to zero • Ricardo’s stationary state is not a microeconomic equilibrium, but a self-organizing state of a complex system that continues to adapt and change, even as it reproduces the stationary state as a macroeconomic average 12 Marx and dialectics • Marx can reach powerful, general, analytical conclusions about capitalist economic development without proposing implausible and limited “models”, and without claiming to predict the behavior of individuals. • Marx brought to political economy the language of “dialectics”, which is best understood as a language to discuss system complexity and self-organization. • Complex systems are “determined” by the propensities and tendencies of their parts. But complex systems tend to exhibit aggregate features that are the opposite of the behavior of their components. The pursuit of profit by individual capitalists, for example, may lead to a falling average rate of profit in the system. Dialectical language promotes this observation to the (contested) status of a “law”. 13 The dialectics of complex and chaotic systems • Self-organization is robust, or “over-determined”: it can survive the destruction of one or even several pathways through which it reproduces itself • Complex, adaptive systems, like chaotic systems are “determinate” but not “predetermined”. They have “open” futures • Self-organizing structures in chaotic systems break down very rapidly, while complex systems can sustain self-organizing structures over long periods • Chaotic systems are statistically predictable, while complex systems create irregular statistical patterns that are impossible to extrapolate 14 Marx and political economy • Marx is more Smithian than Ricardian. Marx shared Smith’s view that the essence of capitalism is its ability to overcome diminishing returns through the widening social division of labor and technical progress • Capitalism institutionalizes technical change through the efforts of firms to gain cost advantages • Marx’s theory is an account of the tendency of capitalist systems to organize themselves as engines of technical change. Marx, like Smith, sees capital accumulation as an open-ended, evolutionary process. 15 Marx and capitalism • Marx believed that capitalism rests on a contradictory and morally unsustainable system of exploitation of labor. Smith believed that workers will share in the gains of productivity (as they have) • Marx thought capitalism would eventually have to resolve its class contradictions through revolutionary or evolutionary change • Complex systems theory suggests that it is impossible to answer this question. There is no way to compress the analysis of a complex system into a model that is any less complex than the system itself. 16 Method and complex systems: 1 • Complex systems challenge “common-sense” notions of determinacy, predictability, and stability. It might seem at first that complex systems are inherently resistant to systematic analysis • We cannot hope to model the future path of a complex system in detail, because of the intractable multiplicity of its degrees of freedom • The phenomenon of self-organization, however, opens up a sphere of possible analysis. It is possible to understand the forces that make for the self-organization of a complex system and to model these limited aspects of the system. Classical political economists’ theories of competition, demographic equilibrium, and technical change are examples 17 Method and complex systems: 2 • Knowledge of the self-organizing aspects of a complex system is valuable, but incomplete. Insofar as the economy continues to function on the basis of commodity exchange, it will organize itself into markets with prices, and competitive forces will induce technical change. But we do not know what sectors will prosper, what bottlenecks of technical change will emerge, or even how markets will be organized • The self-organization of complex systems presents the promise of analytical knowledge about open-ended, evolutionary processes which are inherently unpredictable. The triumph of Classical political economy was its uncanny power to discover these results 18 Method and complex systems: 3 • An analytically based social science which denies the complex systems vision is forced to ignore the open-ended, indeterminate character of human social life • An open-ended, evolutionary account of human social life which denies self-organization is condemned to epistemological nihilism • The recognition of self-organization as a pervasive tendency of complex, adaptive offers the possibility of discovering and analyzing substantive regularities of complex systems like the economy without hypostatizing them as realized equilibrium states. 19 Self-organization and equilibrium • A very fruitful notion in science is the concept of a dynamical system. The relevant aspects of a dynamical system at any moment in time constitute its state. The collection of all possible states the system might be in constitute the state space. The motion of the system through time is determined by its current state • Mathematicians call the rest point of a dynamical system an “equilibrium”. • Mathematicians, physicists, and economists use the term “equilibrium” in significantly different ways 20 Thermodynamic and economic equilibrium • Physicists use the term “thermodynamic equilibrium” to denote a macroscopic state of a system that tends to reproduce itself. The orderliness of a thermodynamic equilibrium at the macro-level reflects its complete lack of order at the micro-level • The traditional economic notion of equilibrium requires each household and firm in the economy to be in equilibrium at a microscopic level in order for the economy itself to be in equilibrium. The orderliness of an economic equilibrium system at the macro-economic level is a reflection of its complete orderliness at the microeconomic level 21 Equilibrium and self-organization • Self-organized, complex, adaptive systems are not in equilibrium either in the thermodynamic or economic sense. Self-organizing structures are characteristic of systems that are mathematically neither locally stable nor locally unstable, which can sustain and reproduce recognizable structures over long periods of time. Selforganization cannot occur in a stable dynamical system, which tends to collapse all structures into the stable equilibrium state. Self-organization is also unsustainable in a completely locally unstable and therefore chaotic system • Subsystems of a complex, self-organized system can be in thermodynamic equilibrium, even though the system as a whole is organized far from equilibrium. Our blood, for example, reaches thermodynamic equilibrium at a measurable temperature 22 Methodological advantages of self-organization • The equilibrium point of view associates micro-level structure or the maximization of micro-level disorder with observed aggregate regularities. The equilibrium point of view can explain aggregate regularity only by positing a corresponding microlevel equilibrium or chaos • These micro-level predictions are often incorrect The equilibrium theorist must either abandon the theory, or insist against the evidence on micro-level behavior that is not present in reality. Recognizing selforganization can avoid these dilemmas, allowing the political economist to investigate the dynamics of self-reproducing structures without projecting them inappropriately onto the complex and evolving micro-level behavior of households and firms 23 Methodological problems of self-organization: 1 • The complex systems approach assumes that self-organization operates for a wide range of micro-behaviors. Conventional economic modeling demonstrates that a specific micro-level equilibrium will give rise to a specific aggregate regularity • The complex systems approach rests on generalization. If we can demonstrate equalization of the profit rate in a specific model, do we know that it works in a large, ill-determined set of possible environments? • The Classical political economic intellectual milieu was more open to speculation and extrapolation 24 Methodological problems of self-organization: 2 • Self-organization occurs only in complex, nonequilibrium systems that are difficult to represent as closed, tractable, mathematical models. Self-organization can be investigated only by simulating highly simplified and abstract models on a computer. The self-organization demonstrated may be due either to the general structure of the system or to specific peculiarities of the cases simulated • Scientific skeptics accept results only in the domain in which they have been demonstrated. Scientific innovators project or generalize results demonstrated in a narrow domain to a wider domain on the basis of intuition or instinct. 25 From Malthus to Darwin to Kauffman • The intellectual path from the Classical political economists to contemporary complex systems theory runs through physics and biology • Statistical equilibrium concepts in physics originated in the empirical investigation of social phenomena in the first half of the nineteenth century • Charles Darwin’s speculations on natural selection began from Malthus’ image of the struggle for survival. Darwin’s vision of the evolutionary process is a paradigm of a complex system. The principles of evolution, mutation, and fitness are simple, but their consequences on the macroscopic level are varied, path-dependent, and open-ended 26 The Pyrrhic victory of neoclassicism • Marginalist economists formulate models amenable to closed-form analytical solution in imitation of the physics of the eighteenth century • Institutionalist economics, following Thorstein Veblen, attempted to found a scholarly discipline on the evolutionary metaphor. Alfred Marshall’s attempted to synthesize Classical political economy, marginalism, and institutionalism • Marshall and Allyn Young emphasize increasing returns to scale, which are incompatible with neoclassical competitive equilibrium. An increasing returns to scale economy is inherently open-ended and pathdependent, like the evolution of species 27 The economic paradigm of physics and biology • Economic metaphors have been central to conceptual development in the “hard” sciences • At least as important as the influence of physical or biological metaphors in economics • We have a direct existential experience of the capitalist economy as a complex, adaptive system, which informs our imagination in dealing with other complex systems in physics and biology • Classical political economy is directly relevant to the emergence of the complex systems vision, and the Classical political economists are its intellectual ancestors 28 Humanity’s struggle to control its fate • The development of nuclear weapons, the emergence of global environmental threats from production, genetic engineering, and revolutions in information and communications technology, are the form this struggle takes for our time • Humankind is an assembly of individuals whose actions interact in complex ways to form an aggregate outcome. New medical or agricultural technologies turn out to have very different consequences through these complex interactions from the intentions of their promoters 29 Classical political economy and the new economy • Innovative capitalism and the distribution of income: why do labor productivity and wages rise steadily and in proportion in capitalist economies? • Can political economy save us from global warming: can we design mechanisms to achieve environmentally sustainable growth paths for the world economy? • The new economy and population of the earth: what mechanisms will stabilize the population of the earth? How big will it get? How poor or rich will we be? 30 Lessons of complex system theory • It is impossible to control complex, adaptive, self-organizing systems by directing the behavior of the individual entities that comprise them. Traditional social policy depends on linking individual behavior and aggregate outcomes. We may nevertheless be able to design policies that influence the self-organization of society in particular dimensions • The complex systems paradigm avoids the Scylla of utopian fantasies of an end to the dialectical historical development of human societies and also eludes the Charybdis of conservative resignation in the face of moral and social problems. We need a better understanding of self-organization to influence it 31