IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v71y2021i3d10.1007_s00199-020-01265-1.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-020-01265-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-020-01265-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Mukherji, Anjan, 1995. "A Locally Stable Adjustment Process," Econometrica, Econometric Society, vol. 63(2), pages 441-448, March.
    4. 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.
    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 7.
    6. Vernon L. Smith, 1965. "Experimental Auction Markets and the Walrasian Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 73(4), pages 387-387.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Mukherji, Anjan, 2002. "An Introduction to General Equilibrium Analysis: Walrasian and Non-Walrasian Equilibria," OUP Catalogue, Oxford University Press, number 9780195659078.
    12. 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.
    13. Herbert Gintis, 2007. "The Dynamics of General Equilibrium," Economic Journal, Royal Economic Society, vol. 117(523), pages 1280-1309, October.
    14. 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.
    15. Plott, Charles R. & Gray, Peter, 1990. "The multiple unit double auction," Journal of Economic Behavior & Organization, Elsevier, vol. 13(2), pages 245-258, March.
    16. 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.
    17. 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.
    18. 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.
    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 3.
    20. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    21. 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.
    22. 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.
    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 8.
    24. 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.
    25. Mukherji, Anjan & Guha, Subrata, 2011. "Mathematical Methods and Economic Theory," OUP Catalogue, Oxford University Press, number 9780198069973.
    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 6.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Herings, P. Jean-Jacques, 2024. "Globally and universally convergent price adjustment processes," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    2. Charles R. Plott & Timothy N. Cason & Benjamin J. Gillen & Hsingyang Lee & Travis Maron, 2023. "General equilibrium methodology applied to the design, implementation and performance evaluation of large, multi-market and multi-unit policy constrained auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 641-693, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Charles R. Plott & Timothy N. Cason & Benjamin J. Gillen & Hsingyang Lee & Travis Maron, 2023. "General equilibrium methodology applied to the design, implementation and performance evaluation of large, multi-market and multi-unit policy constrained auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 641-693, April.
    2. Sean Crockett, 2013. "Price Dynamics In General Equilibrium Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 421-438, July.
    3. Anthony Newell & Lionel Page, 2017. "Countercyclical risk aversion and self-reinforcing feedback loops in experimental asset markets," QuBE Working Papers 050, QUT Business School.
    4. Eric M. Aldrich & Kristian López Vargas, 2020. "Experiments in high-frequency trading: comparing two market institutions," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 322-352, June.
    5. Paul Brewer & Anmol Ratan, 2017. "Double Auction Market Trading and Income Inequality: An initial investigation," Monash Economics Working Papers 12-17, Monash University, Department of Economics.
    6. Tobias Salz & Emanuel Vespa, 2020. "Estimating dynamic games of oligopolistic competition: an experimental investigation," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 447-469, June.
    7. Ambrus, Attila & Pathak, Parag A., 2011. "Cooperation over finite horizons: A theory and experiments," Journal of Public Economics, Elsevier, vol. 95(7), pages 500-512.
    8. Thieme, Lutz & Winkelhake, Olaf & Hartmann, Ulrich, 2014. "Fairness als universelle Norm? Empirische Evidenz ohne Manna [Fairness as a universal norm? Empiric evidence without manna]," Working Papers of the European Institute for Socioeconomics 12, European Institute for Socioeconomics (EIS), Saarbrücken.
    9. Schnellenbach, Jan & Schubert, Christian, 2015. "Behavioral political economy: A survey," European Journal of Political Economy, Elsevier, vol. 40(PB), pages 395-417.
    10. Blair Cleave & Nikos Nikiforakis & Robert Slonim, 2013. "Is there selection bias in laboratory experiments? The case of social and risk preferences," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 372-382, September.
    11. Pierre-Olivier Pineau, 2022. "Choosing to Pay More for Electricity: an experiment on the level of residential consumer cooperation," CIRANO Working Papers 2022s-18, CIRANO.
    12. Jason Shachat & Anand Srinivasan, 2022. "Informational Price Cascades and Non-Aggregation of Asymmetric Information in Experimental Asset Markets," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 23(4), pages 388-407, November.
    13. Ciril Bosch-Rosa & Thomas Meissner & Antoni Bosch-Domènech, 2018. "Cognitive bubbles," Experimental Economics, Springer;Economic Science Association, vol. 21(1), pages 132-153, March.
    14. James C. Cox & Vjollca Sadiraj, 2018. "Incentives," Experimental Economics Center Working Paper Series 2018-01, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    15. Péter Elek & János Köllő, 2019. "Eliciting permanent and transitory undeclared work from matched administrative and survey data," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 46(3), pages 547-576, August.
    16. Mutlu, Asli & Roy, Debraj & Filatova, Tatiana, 2023. "Capitalized value of evolving flood risks discount and nature-based solution premiums on property prices," Ecological Economics, Elsevier, vol. 205(C).
    17. Kim, Younjun, 2015. "Essays on firm location decisions, regional development and choices under risk," ISU General Staff Papers 201501010800005579, Iowa State University, Department of Economics.
    18. Bezu, Sosina & Holden, Stein T., 2013. "Generosity and social distance in dictator game field experiments with and without a face," CLTS Working Papers 1/13, Norwegian University of Life Sciences, Centre for Land Tenure Studies, revised 10 Oct 2019.
    19. David A. Matsa & Amalia R. Miller, 2014. "Workforce Reductions at Women-Owned Businesses in the United States," ILR Review, Cornell University, ILR School, vol. 67(2), pages 422-452, April.
    20. Pearson, Matthew & Schipper, Burkhard C., 2013. "Menstrual cycle and competitive bidding," Games and Economic Behavior, Elsevier, vol. 78(C), pages 1-20.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:71:y:2021:i:3:d:10.1007_s00199-020-01265-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.