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Price-quantity Adjustment in a Keynesian Economy

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Author Info
P. Jean-Jacques Herings (CentER, Tilburg University)
Gerard van der Laan () (Vrije Universiteit Amsterdam)
A.J.J. Dolf Talman (CentER, Tilburg University)

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Abstract

In this paper a price and quantity adjustment process in continuous time is considered for an economy with production factors and final goods. We assume that each final good is produced by a constant returns to scale production technology with only factor goods as inputs. The price and quantity adjustments take place on the markets for factor goods only. During the process, the prices in the final good markets adjust instantaneously by setting the price of a final good equal to the production costs. Production adjusts instantaneously to meet the demand and keeping the output markets in equilibrium.
The adjustment process consists of three consecutive parts. First, in the short run part of the process the factor prices are assumed to be rigid and only quantity adjustments take place until an out of equilibrium situation is reached in which on each market either equilibrium under supply rationing prevails or excess demand and no supply rationing is observed. Next, in the mid run the factor prices are adjusted upwards in markets with excess demand, while on the other factor markets the supply rationing is adjusted to keep them in equilibrium. This process of adjusting quantity constraints in factor markets with excess supply and prices on factor markets with excess demands is shown to lead to a supply constrained equilibrium. Thirdly, in the long run the factor prices in markets with supply constraints are decreased, whereas supply constraints and prices in all other factor markets adjust to keep those markets in equilibrium. It is shown that eventually a Walrasian price system is reached.

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Publisher Info
Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 98-124/1.

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Date of creation: 26 Nov 1998
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Handle: RePEc:dgr:uvatin:19980124

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Related research
Keywords: Production economy; price rigidity; disequilibrium; adjustment process; > simplicial algorithm.
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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Herings, P.J.J. & Dreze, J.H., 1998. "Continua of underemployment equilibria," Discussion Paper 5, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Herings, Jean-Jacques & van der Laan, Gerard & Venniker, Richard, 1998. "The transition from a Dreze equilibrium to a Walrasian equilibrium1," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 303-330, April. [Downloadable!] (restricted)
    Other versions:
  3. Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January. [Downloadable!] (restricted)
  4. Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July. [Downloadable!] (restricted)
  5. Veendorp, E C H, 1975. "Stable Spillovers among Substitutes," Review of Economic Studies, Blackwell Publishing, vol. 42(3), pages 445-56, July. [Downloadable!] (restricted)
  6. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July. [Downloadable!] (restricted)
  7. Kamiya, Kazuya, 1990. "A Globally Stable Price Adjustment Process," Econometrica, Econometric Society, vol. 58(6), pages 1481-85, November. [Downloadable!] (restricted)
  8. Van Der Laan, G. & Talman, A. J. J., 1987. "A convergent price adjustment process," Economics Letters, Elsevier, vol. 23(2), pages 119-123. [Downloadable!] (restricted)
  9. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July. [Downloadable!] (restricted)
  10. Herings, Jean-Jacques & van der Laan, Gerard & Talman, Dolf & Venniker, Richard, 1997. "Equilibrium adjustment of disequilibrium prices," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 53-77, February. [Downloadable!] (restricted)
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  11. Herbert E. Scarf, 1959. "Some Examples of Global Instability of the Competitive Equilibrium," Cowles Foundation Discussion Papers 79, Cowles Foundation, Yale University. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. DREZE, Jacques, 1999. "On the macroeconomics of uncertainty and incomplete markets," CORE Discussion Papers 1999064, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  2. Jacques H.DREZE, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," Discussion Papers (REL - Recherches Economiques de Louvain) 2001011, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
  3. Herings,P. Jean-Jacques, 2002. "Universally Stable Adjustment Processes - A Unifying Approach -," Research Memoranda 006, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
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