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Constrained Suboptimality when Prices Are Non-competitive

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Author Info
Herings,P. Jean-Jacques
Konovalov,Alexander (METEOR)

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Abstract

The paper addresses the following question: how efficient is the market system in allocating resources if trade takes place at some prices $p$ that are not necessarily competitive? Even though there are many partial answers to this question, an answer that stands comparison to the rigor by which the first and second welfare theorems are derived is lacking. We first prove a "Folk Theorem" on the generic suboptimality of equilibria at non-competitive prices. The more interesting problem is whether equilibria are constrained optimal, i.e. efficient relative to all allocations that are consistent with prices at which trade takes place.We give a necessary condition, called the separating property, for constrained optimality: each constrained household should be constrained on each constrained market. If the number of commodities is less than or equal to two, then this necessary condition is also sufficient. In that case equilibria are constrained optimal. In all other cases, this necessary condition is typically not sufficient and equilibria are generically constrained suboptimal.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 012.

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Date of creation: 2002
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Handle: RePEc:dgr:umamet:2002012

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Keywords: microeconomics ;

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  1. Aumann, Robert J & Dreze, Jacques H, 1986. "Values of Markets with Satiation or Fixed Prices," Econometrica, Econometric Society, vol. 54(6), pages 1271-1318, November. [Downloadable!] (restricted)
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  2. Benassy, Jean-Pascal, 1975. "Neo-Keynesian Disequilibrium Theory in a Monetary Economy," Review of Economic Studies, Blackwell Publishing, vol. 42(4), pages 503-23, October. [Downloadable!] (restricted)
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  3. P. Herings & Herakles Polemarchakis, 2005. "Pareto improving price regulation when the asset market is incomplete," Economic Theory, Springer, vol. 25(1), pages 135-154, 01. [Downloadable!] (restricted)
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  4. P. Jean-Jacques Herings, 1997. "Endogenously determined price rigidities (*)," Economic Theory, Springer, vol. 9(3), pages 471-498.
  5. Laroque, Guy, 1978. "The Fixed Price Equilibria: Some Results in Local Comparative Statics," Econometrica, Econometric Society, vol. 46(5), pages 1127-54, September. [Downloadable!] (restricted)
  6. Benassy, Jean-Pascal, 1993. "Nonclearing Markets: Microeconomic Concepts and Macroeconomic Applications," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 732-61, June. [Downloadable!] (restricted)
  7. Dreze, Jacques H. & Muller, Heinz, 1980. "Optimality properties of rationing schemes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 131-149, October. [Downloadable!] (restricted)
  8. Maskin, Eric S. & Tirole, Jean, 1984. "On the efficiency of fixed price equilibrium," Journal of Economic Theory, Elsevier, vol. 32(2), pages 317-327, April. [Downloadable!] (restricted)
  9. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer, vol. 11(3), pages 495-521. [Downloadable!] (restricted)
  10. Dreze, Jacques H, 1975. "Existence of an Exchange Equilibrium under Price Rigidities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 301-20, June. [Downloadable!] (restricted)
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