Variations on the Theme of Scarf's Counter-Example
AbstractIn this paper we study the relationship between the stability of a competitive equilibrium (CE) and the price adjustment mechanism used to attain that equilibrium point. Using two specific examples, a three- commodity exchange economy with a unique competitive equilibrium (Scarf's global instability example) and a two-commodity, two-trader type exchange economy with multiple competitive equilibria, we show that the stability of a CE depends critically upon the dynamics of the price adjustment mechanism. A particular CE may be unstable under one price adjustment mechanism but stable under another. The joint dynamics of the chosen price adjustment mechanism and the given economy determines the overall stability of its competitive equilibrium. Our results suggest that context-rich studies of economic systems which focus on a specific price adjustment mechanism may provide insights into the dynamics and stability of economic systems that are often not revealed through a context-independent analysis.
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Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 01-12-074.
Date of creation: Dec 2001
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More information through EDIRC
Scarf's counter-example; price adjustment mechanism; feedback controller; multiple competitive equilibria; stability;
Other versions of this item:
- Alok Kumar & Martin Shubik, 2004. "Variations on the Theme of Scarf's Counter-Example," Computational Economics, Society for Computational Economics, vol. 24(1), pages 1-19, 08.
- NEP-ALL-2002-03-14 (All new papers)
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.:
- Herbert E. Scarf, 1959. "Some Examples of Global Instability of the Competitive Equilibrium," Cowles Foundation Discussion Papers 79, Cowles Foundation for Research in Economics, Yale University.
- Shapley, Lloyd S & Shubik, Martin, 1977. "An Example of a Trading Economy with Three Competitive Equilibria," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 873-75, August.
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- Marian Leimbach & Klaus Eisenack, 2009. "A Trade Algorithm for Multi-Region Models Subject to Spillover Externalities," Computational Economics, Society for Computational Economics, vol. 33(2), pages 107-130, March.
- Juergen Huber & Martin Shubik & Shyam Sunder, 2007.
"Three Minimal Market Institutions with Human and Algorithmic Agents: Theory and Experimental Evidence,"
Cowles Foundation Discussion Papers
1623R, Cowles Foundation for Research in Economics, Yale University, revised Jan 2010.
- Huber, Juergen & Shubik, Martin & Sunder, Shyam, 2010. "Three minimal market institutions with human and algorithmic agents: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 70(2), pages 403-424, November.
- Juergen Huber & Martin Shubik & Shyam Sunder, 2007. "Three Minimal Market Institutions with Human and Algorithmic Agents: Theory and Experimental Evidence," Cowles Foundation Discussion Papers 1623, Cowles Foundation for Research in Economics, Yale University, revised Jun 2009.
- Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
- Leimbach, Marian & Edenhofer, Ottmar, 2007. "Technological spillovers within multi-region models: Intertemporal optimization beyond the Negishi approach," Economic Modelling, Elsevier, vol. 24(2), pages 272-294, March.
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