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Stockpiling and Shortages (the “Toilet Paper Paper")

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  • Klumpp, Tilman

    (University of Alberta, Department of Economics)

Abstract

Widespread stockpiling of everyday household items (e.g., toilet paper) occurred in the wake of the Covid-19 pandemic, resulting in shortages of these items in stores. Both phenomena reinforce each other: The expectation of shortages causes stockpiling behavior, which in turn amplifies the shortages, which in turn encourages more stockpiling. In this paper, I examine this feedback loop. In the model, households want to consume one unit of a good per period, but can store more than one unit at a cost. Aggregate supply of the good may be insufficient to meet aggregate demand, but prices cannot adjust to equate supply and demand. I characterize stationary equilibria in which households maintain target inventories of z units. Thus, stockpiling arises if z > 1, and I demonstrate that this can be an equilibrium even for very small aggregate supply-demand imbalances. In particular, in many equilibria the incentive to stockpile is driven mostly by the stockpiling behavior of other households, and not by the fundamental supply shortage. Transitional dynamics are examined as well.

Suggested Citation

  • Klumpp, Tilman, 2021. "Stockpiling and Shortages (the “Toilet Paper Paper")," Working Papers 2021-2, University of Alberta, Department of Economics.
  • Handle: RePEc:ris:albaec:2021_002
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    File URL: https://sites.ualberta.ca/~econwps/2021/wp2021-02.pdf
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    1. Hirshleifer, David, 1989. "Futures Trading, Storage, and the Division of Risk: A Multiperiod Analysis," Economic Journal, Royal Economic Society, vol. 99(397), pages 700-719, September.
    2. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February.
    3. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    4. Hong, Pilky & McAfee, R. Preston & Nayyar, Ashish, 2002. "Equilibrium Price Dispersion with Consumer Inventories," Journal of Economic Theory, Elsevier, vol. 105(2), pages 503-517, August.
    5. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    6. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
    7. 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.
    8. Liang Guo & J. Miguel Villas‐Boas, 2007. "Consumer Stockpiling and Price Competition in Differentiated Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(4), pages 827-858, December.
    9. Andrew Eckert & Tilman Klumpp & Xuejuan Su, 2017. "An Equilibrium Selection Theory of Monopolization," Southern Economic Journal, John Wiley & Sons, vol. 83(4), pages 1012-1037, April.
    10. Sarris, Alexander H, 1984. "Speculative Storage, Futures Markets, and the Stability of Commodity Prices," Economic Inquiry, Western Economic Association International, vol. 22(1), pages 80-97, January.
    11. Berentsen, Aleksander, 2000. "Money Inventories in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(2), pages 168-178, May.
    12. José A. Scheinkman & Jack Schechtman, 1983. "A Simple Competitive Model with Production and Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 427-441.
    13. Xuanming Su, 2010. "Intertemporal Pricing and Consumer Stockpiling," Operations Research, INFORMS, vol. 58(4-part-2), pages 1133-1147, August.
    14. Turnovsky, Stephen J, 1983. "The Determination of Spot and Futures Prices with Storable Commodities," Econometrica, Econometric Society, vol. 51(5), pages 1363-1387, September.
    15. Erpeng Wang & Ning An & Zhifeng Gao & Emmanuel Kiprop & Xianhui Geng, 2020. "Consumer food stockpiling behavior and willingness to pay for food reserves in COVID-19," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 12(4), pages 739-747, August.
    16. Lester G. Telser, 1958. "Futures Trading and the Storage of Cotton and Wheat," Journal of Political Economy, University of Chicago Press, vol. 66(3), pages 233-233.
    17. Kawai, Masahiro, 1983. "Price Volatility of Storable Commodities under Rational Expectations in Spot and Futures Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 435-459, June.
    18. Thille, Henry, 2003. "Forward trading and storage in a Cournot duopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 651-665, February.
    19. Li, Victor E., 1994. "Inventory accumulation in a search-based monetary economy," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 511-536, December.
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    Cited by:

    1. Awaya, Yu & Krishna, Vijay, 2024. "Panics and prices," Journal of Economic Theory, Elsevier, vol. 217(C).

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    More about this item

    Keywords

    storage; consumer inventories; stockpiling; multiple equilibria; rationing; mean field games; search models;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving

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