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Abstract

Formally, planning in an economic context can be identified with a constrained maximization problem. The objective, whether it is simply social welfare or multiple individual utilities, is maximized subject to the resource and technological constraints. It needs to be emphasized that the planning problem is not simply one of characterizing the solution to the maximization problem but also of defining a computational procedure to obtain the solution. A planning process can be defined as an iterative procedure which, through successive approximations, finds a solution to the maximization problem.

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Bibliography

  • Aoki, A. 1971a. An investment planning process for an economy with increasing returns. Review of Economic Studies 38, 273–80.

    Article  Google Scholar 

  • Aoki, A. 1971b. Two planning processes for an economy with production externalities. International Economic Review 12, 403–413.

    Article  Google Scholar 

  • Arrow, K. 1951. An extension of the basic theorems of welfare economics. In Proceedings of the Second Berkeley Symposium, ed. J. Neyman, Berkeley: University of California Press.

    Google Scholar 

  • Arrow, K.J. and Hurwicz, L. 1960. Decentralization and computation in resource allocation. In Essays in Economics and Econometrics in Honor of Harold Hotelling, ed. R.W. Pfouts, Chapel Hill: University of North Caroline Press; reprinted in K.J. Arrow and L. Hurwicz (1977).

    Google Scholar 

  • Arrow, K.J. and Hurwicz, L. (eds) 1977. Studies in Resource Allocation Processes. Cambridge and New York: Cambridge University Press.

    Google Scholar 

  • Barone, E. 1908. The Ministry of Production in the collectivist state. In Collectivist Economic Planning, ed. F.A. von Hayek, London: Routledge, 1935; New York: A.M. Kelley, 1967.

    Google Scholar 

  • Calsamiglia, X. 1977. Decentralized resource allocation and increasing returns. Journal of Economic Theory 14, 263–83.

    Article  Google Scholar 

  • Champsaur, P. 1976. Neutrality of planning procedures in an economy with public goods. Review of Economic Studies 43, 293–300.

    Article  Google Scholar 

  • Champsaur, P., Dreze, J.H. and Henry, C. 1977. Stability theorems with economic applications. Econometrica 45, 273–94.

    Article  Google Scholar 

  • Cremer, J. 1977. A quantity-quantity algorithm for planning under increasing returns to scale. Econometrica 45, 1339–48.

    Article  Google Scholar 

  • Cremer, J. 1978. A comment on ‘decentralized planning and increasing returns’. Journal of Economic Theory 19, 217–21.

    Article  Google Scholar 

  • Dantzig, G.B. and Wolfe, P. 1961. The decomposition algorithm for linear programs. Econometrica 29, 767–78.

    Article  Google Scholar 

  • Debreu, G. 1954. Valuation equilibrium and Pareto optimum. Proceedings of the National Academy of Sciences 40, 588–92.

    Article  Google Scholar 

  • Debreu, G. 1959. Theory of Value: An Axiomatic Analysis of Economic Equilibrium. Cowles Foundation Monograph No. 17, New York: Wiley.

    Google Scholar 

  • Dreze, J.H. and de la Vallée Poussin, D. 1971. A tâtonnement process for public goods. Review of Economic Studies 37, 133–50.

    Article  Google Scholar 

  • Hayek, F.A. von. 1935. The present state of the debate. In Collectivist Economic Planning, ed. F.A. von Hayek, London: Routledge; New York, A.M. Kelley, 1967.

    Google Scholar 

  • Heal, G.M. 1969. Planning without prices. Review of Economic Studies 36, 346–62.

    Article  Google Scholar 

  • Heal, G.M. 1971. Planning, prices and increasing returns. Review of Economic Studies 38, 281–94.

    Article  Google Scholar 

  • Heal, G.M. 1973. The Theory of Economic Planning. Amsterdam: North-Holland.

    Google Scholar 

  • Hori, H. 1975. The structure of the equilibrium points of Heal’s process. Review of Economic Studies 42, 457–67.

    Article  Google Scholar 

  • Hurwicz, L. 1960. Optimality and informational efficiency in resource allocation processes. In Mathematical Methods in Social Sciences, ed. K.J. Arrow, S. Karlin and P. Suppes, Stanford: Stanford University Press. Reprinted in Arrow and Hurwicz (1977).

    Google Scholar 

  • Hurwicz, L. 1969. On the concept and possibility of informational decentralization. American Economic Review 59, 513–34.

    Google Scholar 

  • Hurwicz, L. 1973. The design of resource allocation mechanisms. American Economic Review 58, 1–30; reprinted in Arrow and Hurwicz (1977).

    Google Scholar 

  • Kornai, J. and Liptak, T. 1965. Two-level planning. Econometrica 33, 141–69.

    Article  Google Scholar 

  • Lange, O. 1936–7. On the economic theory of socialism. Review of Economic Studies. Reprinted in On the Economic Theory of Socialism, ed. B. Lippincott, Minneapolis: University of Minnesota Press, 1938.

    Google Scholar 

  • Lange, O. 1936–7. On the economic theory of socialism. Review of Economic Studies. Reprinted in On the Economic Theory of Socialism, ed. B. Lippincott, Minneapolis: University of Minnesota Press, 1938.

    Google Scholar 

  • Lindahl, E. 1919. Just taxation — a positive solution. In Classics in the Theory of Public Finance, ed. R.A. Musgrave and A. Peacock, London and New York: Macmillan, 1958.

    Google Scholar 

  • Malinvaud, E. 1967. Decentralized procedures for planning. In Activity Analysis in the Theory of Growth and Planning, ed. M.O.L. Bacharach and E. Malinvaud, London: Macmillan; New York: St. Martin’s Press.

    Google Scholar 

  • Malinvaud, E. 1970–71. Procedures pour la détermination d’un programme de consommation collective. European Economic Review 2, 187–217.

    Article  Google Scholar 

  • Malinvaud, E. 1971. A planning approach to the public goods problem. Swedish Journal of Economics 73, 96–112.

    Article  Google Scholar 

  • Malinvaud, E. 1972. Prices for individual consumption, quantity indicators for collective consumption. Review of Economic Studies 34, 385–406.

    Google Scholar 

  • Marglin, S.A. 1969. Information in price and command systems of planning. In Public Economics, ed. J. Margolis and H.K. Guitton; London: Macmillan.

    Google Scholar 

  • Milleron, J.C. 1974. Procedures to a Lindahl equilibrium corresponding to a given distribution of income. Paper presented at the European Meeting of the Econometric Society in Grenoble.

    Google Scholar 

  • Mises, L. von. 1922. Socialism. London: Jonathan Cape (1936).

    Google Scholar 

  • Pareto, V. 1896. Cours d’économie politique. Vol. I, Lausanne.

    Google Scholar 

  • Samuelson, P.A. 1949. Market mechanisms and maximization. In Collected Scientific Papers of Paul A. Samuelson, ed. J.E. Stiglitz, Cambridge, Mass.: MIT Press, 1966.

    Google Scholar 

  • Taylor, F.M. 1929. The guidance of production in a socialist state. American Economic Review 19, 1–8. Reprinted in On the Economic Theory of Socialism, ed. B. Lippincott, Minneapolis: University of Minnesota Press, 1938.

    Google Scholar 

  • Tulkens, H. 1978. Dynamic processes for public goods: an institution-oriented survey. Journal of Public Economics 9, 163–201.

    Article  Google Scholar 

  • Uzawa, H. 1958. Iterative methods for concave programming. In Studies in Linear and Non-Linear Programming, ed. K.J. Arrow, L. Hurwicz and H. Uzawa, Stanford: Stanford University Press.

    Google Scholar 

  • Weitzman, M. 1970. Iterative multi-level planning with production targets. Econometrica 38, 50–65.

    Article  Google Scholar 

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Authors

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John Eatwell Murray Milgate Peter Newman

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© 1990 Palgrave Macmillan, a division of Macmillan Publishers Limited

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Vohra, R. (1990). Planning. In: Eatwell, J., Milgate, M., Newman, P. (eds) Problems of the Planned Economy. The New Palgrave. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-20863-0_30

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  • DOI: https://doi.org/10.1007/978-1-349-20863-0_30

  • Publisher Name: Palgrave Macmillan, London

  • Print ISBN: 978-0-333-49549-0

  • Online ISBN: 978-1-349-20863-0

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