Price and Quantity Trajectories: Second-order Dynamics
In two previous papers the author developed a second-order price adjustment (t\^atonnement) process. This paper extends the approach to include both quantity and price adjustments. We demonstrate three results: a analogue to physical energy, called "activity" arises naturally in the model, and is not conserved in general; price and quantity trajectories must either end at a local minimum of a scalar potential or circulate endlessly; and disturbances into a subspace of substitutable commodities decay over time. From this we argue, although we do not prove, that the model features global stability, combined with local instability, a characteristic of many real markets. Following these observations and a brief survey of empirical results for price-setting and consumption behavior in markets for "real" goods (as opposed to financial markets), we conjecture that Stigler and Becker's well-known theory of consumer preference opens the possibility of substantial degeneracy in commodity space, and therefore that price and quantity trajectories could lie on a relatively low-dimensional subspace within the full commodity space.
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- Anil Kaul & Dick R. Wittink, 1995. "Empirical Generalizations About the Impact of Advertising on Price Sensitivity and Price," Marketing Science, INFORMS, vol. 14(3_supplem), pages G151-G160.
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Venniker, R., 1994.
"Equilibrium adjustment of disequilibrium prices,"
1994-84, Tilburg University, Center for Economic Research.
- Frank Ackerman, 2001. "Still dead after all these years: interpreting the failure of general equilibrium theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 9(2), pages 119-139.
- Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
- Victor Ginsburgh & Michiel Keyzer, 2002.
"The Structure of Applied General Equilibrium Models,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262571579.
- Victor Ginsburgh & Michiel Keyzer, 2002. "The structure of applied general equilibrium models," ULB Institutional Repository 2013/3313, ULB -- Universite Libre de Bruxelles.
- Victor Ginsburgh & Michiel Keyzer, 1997. "The structure of applied general equilibrium models," ULB Institutional Repository 2013/1653, ULB -- Universite Libre de Bruxelles.
- Peter M. Guadagni & John D. C. Little, 1983. "A Logit Model of Brand Choice Calibrated on Scanner Data," Marketing Science, INFORMS, vol. 2(3), pages 203-238.
- Eric Kemp-Benedict, 2011. "Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles," Papers 1108.0188, arXiv.org, revised Aug 2011.
- André Bonfrer & Pradeep K. Chintagunta, 2004. "Store Brands: Who Buys Them and What Happens to Retail Prices When They Are Introduced?," Review of Industrial Organization, Springer, vol. 24(2), pages 195-218, 03.
- Alan S. Blinder, 1991.
"Why are Prices Sticky? Preliminary Results from an Interview Study,"
NBER Working Papers
3646, National Bureau of Economic Research, Inc.
- Blinder, Alan S, 1991. "Why Are Prices Sticky? Preliminary Results from an Interview Study," American Economic Review, American Economic Association, vol. 81(2), pages 89-96, May.
- MacDonald, James M, 2000. "Demand, Information, and Competition: Why Do Food Prices Fall at Seasonal Demand Peaks?," Journal of Industrial Economics, Wiley Blackwell, vol. 48(1), pages 27-45, March.
- Briesch, Richard A, et al, 1997. " A Comparative Analysis of Reference Price Models," Journal of Consumer Research, Oxford University Press, vol. 24(2), pages 202-14, September.
- Simon, Herbert A., 1984. "On the behavioral and rational foundations of economic dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 5(1), pages 35-55, March.
- Yves Balasko, 2009. "The Equilibrium Manifold: Postmodern Developments in the Theory of General Economic Equilibrium," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026546.
- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
- Keisler, H Jerome, 1996. "Getting to a Competitive Equilibrium," Econometrica, Econometric Society, vol. 64(1), pages 29-49, January.
- Ladislav Kristoufek, 2012.
"Fractal Markets Hypothesis And The Global Financial Crisis: Scaling, Investment Horizons And Liquidity,"
Advances in Complex Systems (ACS),
World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1250065-1-1.
- Ladislav Kristoufek, 2012. "Fractal Markets Hypothesis and the Global Financial Crisis: Scaling, Investment Horizons and Liquidity," Papers 1203.4979, arXiv.org.
- Eric Kemp-Benedict, 2012. "Second-order Price Dynamics: Approach to Equilibrium with Perpetual Arbitrage," Papers 1202.5926, arXiv.org.
- Gurumurthy Kalyanaram & Russell S. Winer, 1995. "Empirical Generalizations from Reference Price Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages G161-G169.
- Eckert, Andrew & West, Douglas S, 2004. "Retail Gasoline Price Cycles across Spatially Dispersed Gasoline Stations," Journal of Law and Economics, University of Chicago Press, vol. 47(1), pages 245-73, April.
- William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
- Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-63, May.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- Alan S. Blinder, 1994. "On Sticky Prices: Academic Theories Meet the Real World," NBER Chapters, in: Monetary Policy, pages 117-154 National Bureau of Economic Research, Inc.
- Stigler, George J & Becker, Gary S, 1977. "De Gustibus Non Est Disputandum," American Economic Review, American Economic Association, vol. 67(2), pages 76-90, March.
- Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-31, September.
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