IDEAS home Printed from https://ideas.repec.org/p/kob/dpaper/dp2020-20.html
   My bibliography  Save this paper

Walrasian Dynamics with Endowment Changes: The Gale Example in a Laboratory Market Experiment

Author

Listed:
  • Emiko Fukuda

    (Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology, JAPAN)

  • Shuhei Sato

    (Department of Social Engineering, Graduate School of Decision Science and Technology, Tokyo Institute of Technology, JAPAN)

  • Junyi Shen

    (Research Institute for Economics and Business Administration, Kobe University, Japan and School of Economics, Shanghai University, China)

  • Ken-Ichi Shimomura

    (Research Institute for Economics and Business Administration, Kobe University, JAPAN)

  • Takehiko Yamato

    (Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology, JAPAN)

Abstract

We study the stability of price dynamics when endowments change by a laboratory market experiment of double auction. We consider a two-commodity exchange economy based on the Gale example, in which there are consumers with non-smooth preferences and exists a unique interior equilibrium. Keeping preferences and total amounts of the commodities fixed, we change individual endowments without informing subjects of when to switch so that stability of the equilibrium in Walrasian tatonnement dynamics is reversed in the middle of the experiment. We observe that, the tendency of divergence from the equilibrium is switched to convergence to the equilibrium when endowments change from an unstable setting to a stable setting, and vice versa. Theoretical predictions on movements of transaction prices work better when the interior equilibrium is unstable than when it is stable. Moreover, efficiency is higher when the interior equilibrium is unstable than when it is stable. Our observations reinforce experimental results of the Walrasian dynamics by examining a simple economy in which implausible outcomes are predicted.

Suggested Citation

  • Emiko Fukuda & Shuhei Sato & Junyi Shen & Ken-Ichi Shimomura & Takehiko Yamato, 2020. "Walrasian Dynamics with Endowment Changes: The Gale Example in a Laboratory Market Experiment," Discussion Paper Series DP2020-20, Research Institute for Economics & Business Administration, Kobe University, revised Apr 2021.
    • Handle: RePEc:kob:dpaper:dp2020-20
    as

    Download full text from publisher

    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2020-20.pdf
    File Function: First version, 2020
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mukherji, Anjan, 2007. "Global stability condition on the plane: A general law of demand," Journal of Economic Theory, Elsevier, vol. 134(1), pages 583-592, May.
    2. 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.
    3. Xiangdong Qin & Junyi Shen & Ken-Ichi Shimomura & Takehiko Yamato, 2022. "Hometown-Specific Bargaining Power In An Experimental Market In China," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 67(04), pages 1225-1252, June.
    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. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    6. 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.
    7. Junyi Shen & Ken-Ichi Shimomura & Takehiko Yamato & Tokinao Ohtaka & Kiyotaka Takahashi, 2015. "Revisiting Marshallian versus Walrasian Stability in an Experimental Market," Discussion Paper Series DP2015-30, Research Institute for Economics & Business Administration, Kobe University, revised May 2016.
    8. 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.
    9. 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.
    10. Hirota, Masayoshi, 1985. "Global stability in a class of markets with three commodities and three consumers," Journal of Economic Theory, Elsevier, vol. 36(1), pages 186-192, June.
    11. 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.
    12. 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.
    13. David Gale, 1963. "A note on global instability of competitive equilibrium," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 81-87, March.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    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. Ortmann, Andreas, 2003. "Charles R. Plott's collected papers on the experimental foundations of economic and political science," Journal of Economic Psychology, Elsevier, vol. 24(4), pages 555-575, August.
    4. Junichi Minagawa, 2012. "On the instability of competitive equilibrium: a further example," Economics Bulletin, AccessEcon, vol. 32(1), pages 80-85.
    5. Thorsten Chmura & Christoph Engel & Markus Englerth, 2013. "Selfishness As a Potential Cause of Crime. A Prison Experiment," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2013_05, Max Planck Institute for Research on Collective Goods.
    6. Dariel, Aurelie & Riedl, Arno & Siegenthaler, Simon, 2021. "Referral hiring and wage formation in a market with adverse selection," Games and Economic Behavior, Elsevier, vol. 130(C), pages 109-130.
    7. Katerina Sherstyuk & Krit Phankitnirundorn & Michael J. Roberts, 2021. "Randomized double auctions: gains from trade, trader roles, and price discovery," Experimental Economics, Springer;Economic Science Association, vol. 24(4), pages 1325-1364, December.
    8. 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.
    9. Junyi Shen & Ken-Ichi Shimomura & Takehiko Yamato & Tokinao Ohtaka & Kiyotaka Takahashi, 2015. "Revisiting Marshallian versus Walrasian Stability in an Experimental Market," Discussion Paper Series DP2015-30, Research Institute for Economics & Business Administration, Kobe University, revised May 2016.
    10. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    11. Koji Kotani & Kenta Tanaka & Shunsuke Managi, 2019. "Which performs better under trader settings, double auction or uniform price auction?," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 247-267, March.
    12. Collins, Sean M. & James, Duncan & Servátka, Maroš & Vadovič, Radovan, 2021. "Attainment of equilibrium via Marshallian path adjustment: Queueing and buyer determinism," Games and Economic Behavior, Elsevier, vol. 125(C), pages 94-106.
    13. Emanuela Randon & Peter Simmons, 2017. "A top dog tale with preference complementarities," Journal of Economics, Springer, vol. 120(1), pages 47-63, January.
    14. Tobias Brünner & René Levínský, 2023. "Price discovery and gains from trade in asset markets with insider trading," The European Journal of Finance, Taylor & Francis Journals, vol. 29(3), pages 255-277, February.
    15. Selten, Reinhard & Neugebauer, Tibor, 2019. "Experimental stock market dynamics: Excess bids, directional learning, and adaptive style-investing in a call-auction with multiple multi-period lived assets," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 209-224.
    16. Sean Crockett & Daniel Friedman & Ryan Oprea, 2021. "Naturally Occurring Preferences And General Equilibrium: A Laboratory Study," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 831-859, May.
    17. Mukherji, Anjan, 2007. "Global stability condition on the plane: A general law of demand," Journal of Economic Theory, Elsevier, vol. 134(1), pages 583-592, May.
    18. Mukherji, Anjan, 2010. "Stability of the Market Economy in the Presence of Diverse Economic Agents," Working Papers 8, JICA Research Institute.
    19. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, December.
    20. Noussair, C.N. & Plott, C. & Riezman, R., 2007. "Production, trade and exchange rates in large experimental economies," Other publications TiSEM 3bf683fe-0650-4e8a-8682-c, Tilburg University, School of Economics and Management.

    More about this item

    Keywords

    Walrasian stability; Experiments; Double auction;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:kob:dpaper:dp2020-20. 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: Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University (email available below). General contact details of provider: https://edirc.repec.org/data/rikobjp.html .

    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.