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Economic Theory and the World of Practice: A Celebration of the ( S , s ) Model

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  • Andrew Caplin
  • John Leahy
Abstract
It was the question of how best to balance the costs of ordering and of running out of stock against the costs of holding excess inventory that inspired Kenneth Arrow, Theodore Harris, and Jacob Marschak to introduce the ( S , s ) model in 1951. In this celebratory article, we show how this model not only answered important practical questions, but also opened the door to a quite startling range of important and challenging follow-up questions, many of great practical importance and analytic depth. The ( S , s ) model has become one of the touchstone models of economics, opening new vistas of applied economic theory to all who internalize its structure. Today it is universally applied to solve questions faced in inventory control. The core model elements, uncertainty and fixed costs of adjustment, are ubiquitous, which has resulted in its becoming the general purpose economic model of discrete adjustment. The ( S , s ) model has also become a profound source of inspiration for macroeconomists seeking to understand the role that discrete microeconomic adjustments play in macroeconomic fluctuations. Looking forward, we foresee rapid growth in the use of ( S , s ) modeling to aid households making complex and costly financial decisions, such as when and how to terminate a mortgage. In the projected era of "household operations research," new modeling challenges will arise due to enriched feedback from the world of practice.

Suggested Citation

  • Andrew Caplin & John Leahy, 2010. "Economic Theory and the World of Practice: A Celebration of the ( S , s ) Model," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 183-202, Winter.
    • Handle: RePEc:aea:jecper:v:24:y:2010:i:1:p:183-202
    Note: DOI: 10.1257/jep.24.1.183
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    File URL: http://www.aeaweb.org/articles.php?doi=10.1257/jep.24.1.183
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    as
    1. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    2. Julia K. Thomas, 2002. "Is Lumpy Investment Relevant for the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 508-534, June.
    3. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 655-690.
    4. Anil K Kashyap, 1995. "Sticky Prices: New Evidence from Retail Catalogs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 245-274.
    5. Caplin, Andrew & Leahy, John, 1994. "Business as Usual, Market Crashes, and Wisdom after the Fact," American Economic Review, American Economic Association, vol. 84(3), pages 548-565, June.
    6. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 529-538.
    7. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    8. B. Douglas Bernheim, 2000. "How Much Should Americans Be Saving for Retirement?," American Economic Review, American Economic Association, vol. 90(2), pages 288-292, May.
    9. Chamley,Christophe P., 2004. "Rational Herds," Cambridge Books, Cambridge University Press, number 9780521530927, October.
    10. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Microeconomic Adjustment Hazards and Aggregate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 359-383.
    11. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    12. Levy, Daniel & Bergen, Mark & Dutta, Shantanu & Venable, Robert, 1997. "The Magnitude of Menu Costs: Direct Evidence from Large U.S. Supermarket Chains," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 112(3), pages 791-824.
    13. Foote, Christopher L. & Gerardi, Kristopher & Willen, Paul S., 2008. "Negative equity and foreclosure: Theory and evidence," Journal of Urban Economics, Elsevier, vol. 64(2), pages 234-245, September.
    14. Grossman, Sanford J & Laroque, Guy, 1990. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," Econometrica, Econometric Society, vol. 58(1), pages 25-51, January.
    15. Laurence J. Kotlikoff & David Rapson, 2007. "Does It Pay, at the Margin, to Work and Save? Measuring Effective Marginal Taxes on Americans' Labor Supply and Saving," NBER Chapters, in: Tax Policy and the Economy, Volume 21, pages 83-144, National Bureau of Economic Research, Inc.
    16. Benabou, Roland, 1989. "Optimal Price Dynamics and Speculation with a Storable Good," Econometrica, Econometric Society, vol. 57(1), pages 41-80, January.
    17. Avinash Dixit, 1991. "Analytical Approximations in Models of Hysteresis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 141-151.
    18. Andrew Caplin & John Leahy, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 683-708.
    19. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    20. Mark Gertler & John Leahy, 2008. "A Phillips Curve with an Ss Foundation," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 533-572, June.
    21. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September.
    22. Vladislav Damjanovic & Charles Nolan, 2006. "Aggregation and Optimization with State-Dependent Pricing: A Comment," Econometrica, Econometric Society, vol. 74(2), pages 565-573, March.
    23. Jerome Adda & Russell Cooper, 2000. "Balladurette and Juppette: A Discrete Analysis of Scrapping Subsidies," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 778-806, August.
    24. Khan, Aubhik & Thomas, Julia K., 2003. "Nonconvex factor adjustments in equilibrium business cycle models: do nonlinearities matter?," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 331-360, March.
    25. Akerlof, George A & Yellen, Janet L, 1985. "Can Small Deviations from Rationality Make Significant Differences to Economic Equilibria?," American Economic Review, American Economic Association, vol. 75(4), pages 708-720, September.
    26. Caballero, Ricardo J, 1993. "Durable Goods: An Explanation for Their Slow Adjustment," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 351-384, April.
    27. Orazio P. Attanasio, 2000. "Consumer Durables and Inertial Behaviour: Estimation and Aggregation of (S, s) Rules for Automobile Purchases," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 667-696.
    28. Chamley,Christophe P., 2004. "Rational Herds," Cambridge Books, Cambridge University Press, number 9780521824019, October.
    29. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    30. Eytan Sheshinski & Yoram Weiss, 1983. "Optimum Pricing Policy under Stochastic Inflation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 513-529.
    31. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    32. Zeira, Joseph, 1987. "Investment as a Process of Search," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 204-210, February.
    33. Rafael Rob, 1991. "Learning and Capacity Expansion under Demand Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(4), pages 655-675.
    34. Caballero, Ricardo J & Engel, Eduardo M R A & Haltiwanger, John, 1997. "Aggregate Employment Dynamics: Building from Microeconomic Evidence," American Economic Review, American Economic Association, vol. 87(1), pages 115-137, March.
    35. Brigitte C. Madrian & Dennis F. Shea, 2001. "The Power of Suggestion: Inertia in 401(k) Participation and Savings Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1149-1187.
    36. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    37. Ito, Takatoshi & Rose, Andrew K. (ed.), 2004. "Growth and Productivity in East Asia," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226386805.
    38. Gordon W. Crawford & Eric Rosenblatt, 1995. "Efficient Mortgage Default Option Exercise: Evidence from Loss Severity," Journal of Real Estate Research, American Real Estate Society, vol. 10(5), pages 543-556.
    39. Fischer, Stanley, 1977. "Long-Term Contracts, Rational Expectations, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 191-205, February.
    40. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    JEL classification:

    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics

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