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Divergence and convergence in Scarf cycle environments: experiments and predictability in the dynamics of general equilibrium systems

Author

Listed:
  • Benjamin J. Gillen

    (Claremont McKenna College)

  • Masayoshi Hirota

    (Information and Social Science Research)

  • Ming Hsu

    (University of California, Berkeley)

  • Charles R. Plott

    (California Institute of Technology)

  • Brian W. Rogers

    (California Institute of Technology
    Washington University)

Abstract

Previous experimental work demonstrates the power of classical theories of economic dynamics to accurately characterize equilibration in multiple market systems. Building on the literature, this study examines the behavior of experimental continuous double auction markets in convergence-challenging environments identified by Scarf (Int Econ Rev 1:157–171, 1960) and Hirota (Int Econ Rev 22:461–467, 1981). The experiments provide insight into two important economic questions: (a) Do markets necessarily converge to a unique interior equilibrium? and (b) which model, among a set of classical specifications, most accurately characterizes observed price dynamics? We observe excess demand-driven prices spiraling outwardly away from the interior equilibrium prices as predicted by the theory of disequilibrium price dynamics. We estimate a structural model establishing that partial equilibrium dynamics characterize price changes even in an unstable general equilibrium environment. We observe linkages between excess demand in one market and price changes in another market, but the sign of expected price change in a market does not depend on the magnitude of excess demand in other markets unless disequilibrium is severe.

Suggested Citation

  • Benjamin J. Gillen & Masayoshi Hirota & Ming Hsu & Charles R. Plott & Brian W. Rogers, 2021. "Divergence and convergence in Scarf cycle environments: experiments and predictability in the dynamics of general equilibrium systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1033-1084, April.
  • Handle: RePEc:spr:joecth:v:71:y:2021:i:3:d:10.1007_s00199-020-01265-1
    DOI: 10.1007/s00199-020-01265-1
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    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    2. Vernon L. Smith, 1965. "Experimental Auction Markets and the Walrasian Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 73, pages 387-387.
    3. Donald A. Walker, 1987. "Edgeworth versus Walras on the Theory of Tatonnement," Eastern Economic Journal, Eastern Economic Association, vol. 13(2), pages 155-165, Apr-Jun.
    4. Anjan Mukherji, 2012. "The second fundamental theorem of positive economics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 125-138, June.
    5. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 4.
    6. Mukherji, Anjan, 2002. "An Introduction to General Equilibrium Analysis: Walrasian and Non-Walrasian Equilibria," OUP Catalogue, Oxford University Press, number 9780195659078, Decembrie.
    7. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 2.
    8. Charles R. Plott & Kirill Pogorelskiy, 2017. "Call Market Experiments: Efficiency and Price Discovery through Multiple Calls and Emergent Newton Adjustments," American Economic Journal: Microeconomics, American Economic Association, vol. 9(4), pages 1-41, November.
    9. Plott, Charles R. & Gray, Peter, 1990. "The multiple unit double auction," Journal of Economic Behavior & Organization, Elsevier, vol. 13(2), pages 245-258, March.
    10. Franco Donzelli, 2009. "Edgeworth vs. Walras on Equilibrium and Disequilibrium," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1096, Universitá degli Studi di Milano.
    11. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    12. Plott, Charles R & George, Glen, 1992. "Marshallian vs. Walrasian Stability in an Experimental Market," Economic Journal, Royal Economic Society, vol. 102(412), pages 437-460, May.
    13. Charles R. Plott & Jared Smith, 1999. "Instability of Equilibria in Experimental Markets: Upward-Sloping Demands, Externalities, and Fad-Like Incentives," Southern Economic Journal, John Wiley & Sons, vol. 65(3), pages 405-426, January.
    14. Mukherji, Anjan & Guha, Subrata, 2011. "Mathematical Methods and Economic Theory," OUP Catalogue, Oxford University Press, number 9780198069973, Decembrie.
    15. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 6.
    16. Goeree, Jacob K. & Lindsay, Luke, 2016. "Market design and the stability of general equilibrium," Journal of Economic Theory, Elsevier, vol. 165(C), pages 37-68.
    17. Anderson, Christopher M. & Plott, Charles R. & Shimomura, K.-I.Ken-Ichi & Granat, Sander, 2004. "Global instability in experimental general equilibrium: the Scarf example," Journal of Economic Theory, Elsevier, vol. 115(2), pages 209-249, April.
    18. Mukherji, Anjan, 1995. "A Locally Stable Adjustment Process," Econometrica, Econometric Society, vol. 63(2), pages 441-448, March.
    19. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 7.
    20. Charles R. Plott & Vernon L. Smith, 1978. "An Experimental Examination of Two Exchange Institutions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 133-153.
    21. Herbert Gintis, 2007. "The Dynamics of General Equilibrium," Economic Journal, Royal Economic Society, vol. 117(523), pages 1280-1309, October.
    22. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 1.
    23. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 3.
    24. Hirota, Masayoshi, 1981. "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 461-467, June.
    25. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 8.
    26. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 5.
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    More about this item

    Keywords

    General equilibrium; Stability; Experiments;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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