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Lange model


Lange model

The Lange model (or Lange–Lerner theorem) is a neoclassical economic model for a hypothetical socialist economy based on public ownership of the means of production and a trial-and-error approach to determining output targets and achieving economic equilibrium and Pareto efficiency. In this model, the state owns non-labor factors of production, and markets allocate final goods and consumer goods. The Lange model states that if all production is performed by a public body such as the state, and there is a functioning price mechanism, this economy will be Pareto-efficient, like a hypothetical market economy under perfect competition. Unlike models of capitalism, the Lange model is based on direct allocation, by directing enterprise managers to set price equal to marginal cost in order to achieve Pareto efficiency. By contrast, in a capitalist economy managers are instructed to maximize profits for private owners, while competitive pressures are relied on to indirectly lower the price to equal marginal cost.

This model was first proposed by Oskar R. Lange in 1936 during the socialist calculation debate, and was expanded by economists like H. D. Dickinson, Abba P. Lerner and Fred M. Taylor. Although Lange and Lerner called it "market socialism", the Lange model is a form of planned economy where a central planning board allocates investment and capital goods, while markets allocate labor and consumer goods. The planning board simulates a market in capital goods by a trial-and-error process first elaborated by Vilfredo Pareto and Léon Walras.[1]

The Lange model was never implemented anywhere, not even in Oskar Lange's home country, Poland, where Soviet-type economic planning was imposed after World War II, precluding experimentation with Lange-style economy.[2] Some parallels might be drawn with the New Economic Mechanism or so-called Goulash Communism in Hungary under Kadar, although this was not a pure Lange-model system.[3]


  • Overview 1
  • Basic principles 2
    • Institutions 2.1
    • Trial-and-error price adjustments 2.2
    • Central planning board 2.3
    • Social dividend 2.4
  • Advantages 3
  • Criticisms 4
  • See also 5
  • References 6
  • Further reading 7


The model is sometimes called the "Lange–Lerner" model.[4] Abba Lerner wrote a series of articles that greatly influenced Lange's thinking. For example, Lerner (1938) caused Lange to re-write his 1936 and 1937 articles on market socialism, before they were re-published as chapters in a 1938 book. Lerner (1938) influenced Lange's thinking on social dividend payments. Lerner (1944) also argued that investment in the Lange model would inevitably be politicized.

The Lange model was developed in response to Ludwig von Mises and Friedrich Hayek's criticisms of socialism during the socialist calculation debate. The critics argued that any body that owns and consolidates a society's means of production cannot acquire the information needed to calculate general equilibrium prices, and that market-determined prices were essential for the rational allocation of producer goods. The Lange model contains principles proposed by neoclassical economists Vilfredo Pareto and Léon Walras. Lange's theory emphasizes the idea of Pareto efficiency: a situation is Pareto-efficient if there is no way to rearrange things to make any individual better off without making anyone worse off. To achieve Pareto efficiency, a set of conditions must be formulated in stages. This idea of deriving conditions to ensure that consumer preferences are in balance with the maximum amount of goods and services produced is emphasized by Walras. The theorem indicates that a socialist economy based on public ownership could achieve one of the principal economic benefits of capitalism - a rational price system - and was an important theoretical force behind the development of the concept of market socialism.

Basic principles

The Lange model suggests three levels of decision-making. The lowest level contains firms and households, the intermediate level contains industrial ministries, and the highest level is the central planning board. The board sets the initial price of consumer goods arbitrarily and informs the producing firms of these prices. The state-owned firms then produce at the level of output where marginal cost equals price, P = MC, so as to minimize the cost of production. At the intermediate level, industrial ministries determine the sectoral expansion of industry. Households decide how to allocate income and how much labor to supply by choosing between work and leisure.


The key institutions of the Lange model include the central planning board (CPB), industrial ministries for each economic sector, and state enterprises managed democratically by their employees.

Trial-and-error price adjustments

Because prices are set by the central planning board "artificially" aiming to achieve planned growth objectives, it is unlikely that supply and demand will be in equilibrium at first. To produce the correct amount of goods and services, the Lange model suggests a trial-and-error method. If there is a surplus of a particular good, the central planning board lowers the price of that good. Conversely, if there is a shortage of a good, the board raises the price. This process of price adjustments takes place until equilibrium between supply and demand is achieved.

Central planning board

The central planning board (CPB) has three major functions in the Lange model: First it instructs firms to set price to equal marginal cost, secondly it adjusts prices to attain market-clearing prices for goods and services, and finally, it reinvests the economic profit derived from state enterprises into the economy based on a target rate of growth. The central planning board also distributes social dividends to the population.

Social dividend

Apart from setting prices, the central planning board allocates social dividends. Because all non-labor factors of production are publicly owned, the rents and profits of these resources belong to the public. The profits would be used to finance a social dividend scheme based on the individuals' share in the income derived from the socially owned capital and natural resources, providing a complimentary source of income for workers alongside their salaries and wages.[5]


The Lange economic model has a number of theoretical advantages. One advantage is public control over investment. The rate of economic growth would be largely state-determined and a major determinant would be investment ratio.

Another advantage argued by Lange was that externalities could be better accounted for, thanks to the state's ability to manipulate resource prices. Because the state controls all firms, they could easily factor the cost of an externality into the price of a certain resource. Because decisions are made at higher rather than lower levels, it is argued that these decisions are less likely to have undesirable environmental consequences.

Furthermore, because the state uses marginal cost pricing and determines entry, Langean socialism can avoid monopolies and the accompanying lack of allocative efficiency and x-efficiency.

The model claims to solve another main criticism of capitalism. Lange believed that his model would reduce cyclical instability because the state would control savings and investment, consequently eliminating a major source of inefficiency, inequality and social instability that arises from violent cyclical shifts under capitalism.


The Lange model has been criticized by various economists, both socialist and non-socialist.

Abram Bergson has criticized the Lange model on the ground that monitoring firms to make sure their prices equal their marginal cost would be more expensive than enforcing profit maximization within firms.

Economist production for use.[6]

Milton Friedman criticized the Lange model on methodological grounds. According to Friedman, the model rested on 'models of imaginary worlds' rather than 'generalizations about the real world', making the claims of the model immune to falsification.[7]

Recently, economist Joseph Stiglitz criticized the model for replicating many of the alleged errors of neoclassical economics. Namely, due to problems such as costs of information and missing markets, market economies solve problems differently than described by the neoclassical analysis. Therefore, Stiglitz argues, the Lange model is a poor description of how the price mechanism will work in a market socialist economy, to the same extent that neoclassical economics is a poor description of how market capitalism actually works.

Economists Don Lavoie and Israel Kirzner claim that Lange proposed an illegitimate simulation of markets because markets cannot function without rivalry, so simulated markets cannot match the performance of real markets.

Economist DW MacKenzie claims that the model has been misunderstood. Namely, the trial-and-error proposal aims to simulate spot markets. Mises (1920) suggested that socialist officials could simulate pricing in spot market, but the trial-and-error proposal is irrelevant to the real problem of planning investment, because inventories of future goods never exist. Lavoie and Kirzner both argue that Lange's trial-and-error proposal is illegitimate. Mackenzie argues that the trial-and-error proposal is irrelevant: the Lange model fails because it aims to simulate the wrong markets.

The primary criticism against socialism is that it cannot direct investment efficiently because it lacks speculation in financial markets. Ludwig von Mises argued that socialist officials cannot simulate the pricing of future capital goods in financial markets. Because there are no private dividends, there is no stock market to regulate industry. Lange admitted in several places that socialist officials would direct investment arbitrarily. He also admitted that arbitrary investment would come at the expense of consumer welfare. But, he countered, capitalism also leads to arbitrary investment because it concentrates wealth in the hands of a few people, and their arbitrary dictates direct most of the total investment.

See also


  1. ^ Hodgson, G. M. (1998). "Socialism against markets? A critique of two recent proposals". Economy and Society 27 (4): 407–433.  
  2. ^ Yunker, James A. (1995). "Post-Lange Market Socialism: An Evaluation of Profit-Oriented Proposals". Journal of Economic Issues 29 (3): 683–717.  
  3. ^ Wolf, Thomas. "The Lessons of Limited Market-Oriented Reform" (1991), The Journal of Economic Perspectives, Vol. 5, No. 4 (Autumn, 1991), pp. 45-58
  4. ^ Bator, Francis M. (August 1958). "The Anatomy of Market Failure". The Quarterly Journal of Economics 72 (3): 351–379.  
  5. ^ On the Economic Theory of Socialism, by Lange, Oskar. 1936. The Review of Economic Studies, Vol. 4, No. 1: "It seems, therefore, convenient to regard the income of consumers as being composed of two parts: one part being the receipts for the labour services performed and the other part being a social dividend constituting the individual's share in the income derived from the capital and the natural resources owned by society."
  6. ^ Paul Craig Roberts (29 October 2002). "My Time with Soviet Economics". Retrieved 13 March 2013. Lange's 'theory' is market simulation disguised in socialist vocabulary that creates the illusion of planning...the purpose of socialist planning was to eliminate market exchange and organize production for society's direct use. 
  7. ^ Milton Friedman, 'Lange on Price Flexibility and Employment', Essays in Positive Economics
  • Kowalik, Tadeusz (1987). "Lange-Lerner mechanism," The New Palgrave: A Dictionary of Economics, v. 3, pp. 129–30.
  • Roemer, John (1994). A Future for Socialism, Verso Press.
  • Lange, O (1935). "Marxian Economics and Modern Theory". Review of Economic Studies 2 (3): 189–201.  
  • Lange, O (1936). "On the Economic Theory of Socialism I". The Review of Economic Studies 4 (1): 53–71.  
  • Lange, O 1937 On the Economic Theory of Socialism II The Review of Economic Studies V4 N 123-142
  • Lange, O 1938 On the Economic Theory of Socialism B Lippincott ed. University of Minnesota Press
  • Lange, O 1940 Letter to FA Hayek, translated by Thadeusz Kowalik
  • Lange, O 1942 Economics of Socialism Journal of Political Economy 50(2):299-303
  • Lange, O 1957a Political Economy of Socialism, reprinted in Kowalik 1994
  • Lange, O 1957b. Role of Planning in a socialist economy, reprinted in Kowalik 1994
  • Lange, O 1967 The Computer and the Market in Socialism, Capitalism, and Economic Growth Feinstein Ed. Reprinted in Economic Theory and Market Socialism T Kowalik ed. Edward Elgar pub.
  • Lerner, A (1934). "Economic Theory and Socialist Economy". The Review of Economic Studies 2 (1): 51–61.  
  • Lerner, A (1936). "A note on Socialist Economics". The Review of Economic Studies 4 (1): 72–76.  
  • Lerner, A (1937). "Statics and Dynamics in Socialist Economics". The Economic Journal 47 (186): 253–270.  
  • Lerner, A (1938). "Theory and Practice in Socialist Economics". The Review of Economic Studies 6 (1): 71–5.  
  • Lerner, A 1944 The Economics of Control
  • Lerner, A (1972). "The Economics and Politics of Consumer Sovereignty". The American Economic Review 62 (1-2): 258–266. 
  • Lerner, A (1977). "Marginal Cost Pricing in the 1930s". The American Economic Review 67 (1): 235–243. 
  • MacKenzie, DW, 2006 Oscar Lange and the Impossibility of Economic Calculation, Studia Economicze
  • MacKenzie, DW Social Dividends, Entrepreneurial Discretion, and Bureaucratic Rules
  • MacKenzie, DW Capital and Income in Democratic Socialism
  • MacKenzie, DW Trial and Error in the Socialist Calculation Debate
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Further reading

  • Post-Lange Market Socialism: An Evaluation of Profit-Oriented Proposals by James A. Yunker
  • Revisiting the Socialist Calculation Debate: The role of markets and finance in Hayek's response to Lange's challenge, by Paul Auerbach and Dimitris Sotiropoulos
  • Oskar Lange and the Impossibility of Economic Calculation by D.W. MacKenzie
  • Capital and Income in Democratic Socialism by D.W. MacKenzie
  • Trial and Error in the Socialist Calculation Debate by D.W. MacKenzie
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