Skip to main content
Log in

A comparative analysis of price, quantity, and mixed approaches for decentralized planning

  • Published:
Economics of Planning Aims and scope Submit manuscript

Conclusion

No one approach is best along all of the four dimensions. The price approach maintains feasibility, where the other two do not necessarily. The quantity approach is coordinable where the other two are not necessarily (and, the price approach only in trivial situations). The mixed approach is very flexible to adapting to existing structures of prices, quantities, and information flows. The other two require specific information flows. And finally, all approaches are improved with rich a priori information. The final selection of an approach must depend upon the relative utilities attached to these four criteria, and that depends upon the particular situation and application.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Baumol, W.J. and Fabian, T.: “Decomposition, Pricing for Decentralization and External Economies”, Management Science, Vol. 11 No. 1, 1964, p. 1–32.

    Google Scholar 

  • Beer, K.: Lösung Grosser Linearer Optimierungsuafgaben, VEB, Berlin, DDR, 1977.

    Google Scholar 

  • Benders, J.G.: “Partitioning Procedures for Solving Mixed Variable Programming Problems”, Numerische Mathematik, Vol. 4, 1962, p. 238–252.

    Google Scholar 

  • Burton, R.M. and Obel, B.: “The Multilevel Approach to Organizational Issues of the Firm: A Critical Review”, Omega, The International Journal of Management Science, Vol. 5, No. 4, 1977, p. 395–417.

    Google Scholar 

  • Burton, R.M. and Obel, B.: “Empirical Results on the Relative Efficiency of the Price, Budget, and Mixed Approaches for Decentralized Planning”, management Science, (to appear) 1979.

  • Christensen, J.A. and Obel, B.: “Simulation of Decentralized Planning in Two Danish Organizations Using Linear Programming Decomposition”, Management Science, Vol. 24, No. 15, 1978, p. 1658–1667.

    Google Scholar 

  • Dantzig, G. and Wolfe, P.: “Decomposition Principles for Linear Programs”, Operations Research, Vol. 8, 1960, p. 101–111.

    Google Scholar 

  • Dantzig, G. and Wolfe, P.: “The Decomposition Algorithm for Linear Programming”, Econometrica, Vol. 29, No. 4, 1961, p. 767–778.

    Google Scholar 

  • Jennergren, L.P.: “Mathematical Programming Models of Decentralized Budgeting Procedures”, Swedish Journal of Economics, Vol. 73, 1971, p. 417–426.

    Google Scholar 

  • Jennergren, L.P.: “On the Concept of Coordinability in Hierarchical System Theory”, International Journal of Systems Science, Vol. 5, 1974, p. 493–497.

    Google Scholar 

  • Kydland, F.: “Hierarchical Decomposition in Linear Economic Models”, Management Science, Vol. 21, No. 9, 1975, p. 1029–39.

    Google Scholar 

  • Kronsjö, Tom: “Centralization and Decentralization of Decision Making”, Revue Francaise Informatique et de Recherche Opérationelle, Vol. 2, 1968, p. 73–114.

    Google Scholar 

  • Kronsjö, Tom: “Decomposition of a Large Nonlinear Convex Separable Economic System in the Dual Direction”, Economics of Planning, Vol. 9, 1969, p. 71–94.

    Google Scholar 

  • Ljung, B. and Selmer, J.: “An Experimental Test of the Dantzig and Wolfe Decomposition Algorithm as a Planning Tool in a Business Firm”, The Scandinavian Journal of

  • Ljung, B. and Selmer, J.: “Samordnad Plancring i Decentraliserade Företag”, Bonniers, Stockholm, 1975.

    Google Scholar 

  • Malinvaud, E.: “Prices for Individual Consumption, Quantity Indicators for Collective Consumption”, Review of Economic Studies. Vol. 39, 1972, p. 385–405.

    Google Scholar 

  • Obel, B.: “A Note on a Weitzman-like Planning Procedure”, Scandinavian Journal of Economics, Vol. 79, 1977, p. 110–118.

    Google Scholar 

  • Obel, B.: “A Note on Mixed Procedures for Decomposing Linear Programming Problems”, Mathematische Operationsforschung und Statistik, Series Optimization, Vol. 9, No. 4, 1978, p. 537–544.

    Google Scholar 

  • Pigot, D., “Double Décomposition d'un Programme,” in Actes de le 3e Conference Internationale de Recherche Opérationelle, Dunod, Paris 1964, p. 72–78.

    Google Scholar 

  • Portes, R.D.: “Decentralized Planning Procedures and Centrally Planned Economics, American Economic Review, Vol. 61, 1971, p. 422–29.

    Google Scholar 

  • Sandblom, C-L, “A Computation Investigation Into Nonlinear Decomposition” in D.M.Himmelblau (ed), Decomposition of Large-Scale Problems, North Holland Amsterdam, 1973 p. 415–426.

    Google Scholar 

  • Seppälä, Yrjo: “A Heuristic Decomposition Procedure for National Economic Planning”, Swedish Journal of Economics, Vol. 76, 1974, p. 199–213.

    Google Scholar 

  • Ten Kate: “A Decomposition of Linear Programs by Direct Distribution”, Econometrica, Vol. 40, 1972, p. 883–898.

    Google Scholar 

  • Weitzman, Martin: “Prices vs. Quantities”, Review of Economic Studies, Vol. 41, October 1974, p. 477–491.

    Google Scholar 

  • Wong, K.P.: “The Efficiency of Decomposition vs Direct Solution with Implications for the Question of Decentralized or Centralized Planning”, Economics of Planning, Vol. 13, 1973, p. 199–209.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burton, R.M., Obel, B. A comparative analysis of price, quantity, and mixed approaches for decentralized planning. ECONOMICS OF PLANNING 14, 129–140 (1978). https://doi.org/10.1007/BF00367143

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00367143

Keywords

Navigation