Learning and Price Volatility in Duopoly Models of Resource Depletion
AbstractWe introduce learning into a Hotelling model of a non-renewable resource market. Bycombining learning and scarcity we add signi?cantly to the dynamics implied by learning and substantially enhance the volatility of commodity prices. In our learning model we show how a self con?rming equilibrium exists but is not constant over time. As scarcity increases the SCE shifts from a non-cooperative rational expectations equilibrium to a cooperative rational expectations outcome. As a result prices trend at a rate faster that the rate of time preference. We show the existence of escape dynamics which generate substantial volatility in commodity prices despite the fact the model is subject only to i.i.d shocks. The shifting SCE signi?cantly alters escape dynamics with the time to escape shortening and the magnitude of dynamics reducing as scarcity rises. In terms of the Hotelling model, a shifting SCE and variable escape dynamics introduces greater volatility at low frequencies and substantially larger cyclical volatility. These price ?uctuations show sharp upward breaks in price and non-linear, non-stationary and asymmetric price ?uctuations. We show these results are robust to a range of extensions, including extractions costs, stochastic shifts in demand and learning assumptions closer to rational expectations.
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Bibliographic InfoPaper provided by Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford in its series OxCarre Working Papers with number 025.
Date of creation: 2009
Date of revision:
Commodity Prices; Escape Dynamics; Hotelling; Learning; Scarcity; Self Con?rming Equilibria;
Other versions of this item:
- Ellison, Martin & Scott, Andrew, 2013. "Learning and price volatility in duopoly models of resource depletion," Journal of Monetary Economics, Elsevier, vol. 60(7), pages 806-820.
- Ellison, Martin & Scott, Andrew, 2009. "Learning and Price Volatility in Duopoly Models of Resource Depletion," CEPR Discussion Papers 7378, C.E.P.R. Discussion Papers.
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- Q31 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Demand and Supply; Prices
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- George W. Evans & Seppo Honkapohja, 1993. "Adaptive Forecasts," CEP Discussion Papers dp0135, Centre for Economic Performance, LSE.
- M. Kandori & G. Mailath & R. Rob, 1999.
"Learning, Mutation and Long Run Equilibria in Games,"
Levine's Working Paper Archive
500, David K. Levine.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2008.
"Stock Market Volatility and Learning,"
336, Barcelona Graduate School of Economics.
- Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2011. "Stock Market Volatility and Learning," CEP Discussion Papers dp1077, Centre for Economic Performance, LSE.
- Albert Marcet & Klaus Adam & Juan Pablo Nicolini, 2008. "Stock Market Volatility and Learning," UFAE and IAE Working Papers 732.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Adam, Klaus & Marcet, Albert & Nicolini, Juan Pablo, 2007. "Stock Market Volatility and Learning," CEPR Discussion Papers 6518, C.E.P.R. Discussion Papers.
- Adam, Klaus & Marcet, Albert & Nicolini, Juan Pablo, 2012. "Stock Market Volatility and Learning," Working Papers 12-06, University of Mannheim, Department of Economics.
- Adam, Klaus & Marcet, Albert & Nicolini, Juan Pablo, 2008. "Stock market volatility and learning," Working Paper Series 0862, European Central Bank.
- Cho, In-Koo & Sargent, Thomas J., 2000.
"Escaping Nash inflation,"
Working Paper Series
0023, European Central Bank.
- In-Koo Cho & Noah Williams & Thomas J. Sargent, 2002. "Escaping Nash Inflation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 1-40.
- Cho, In-Koo & Williams, Noah & Sargent, Thomas J, 2002. "Escaping Nash Inflation," Review of Economic Studies, Wiley Blackwell, vol. 69(1), pages 1-40, January.
- Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January.
- Kenneth Kasa, 2004.
"Learning, Large Deviations, And Recurrent Currency Crises,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 141-173, 02.
- Kenneth Kasa, 2000. "Learning, large deviations, and recurrent currency crises," Working Paper Series 2000-10, Federal Reserve Bank of San Francisco.
- Thomas Sargent & Noah Williams & Tao Zha, 2006.
"The conquest of South American inflation,"
2006-20, Federal Reserve Bank of Atlanta.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Harald Uhlig & Martin Lettau, 1999. "Rules of Thumb versus Dynamic Programming," American Economic Review, American Economic Association, vol. 89(1), pages 148-174, March.
- Monika Piazzesi & Martin Schneider, 2007.
"Equilibrium Yield Curves,"
in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472
National Bureau of Economic Research, Inc.
- Bruce McGough, 2006.
Royal Economic Society, vol. 116(511), pages 507-528, 04.
- Kaushik Mitra & James Bullard, .
"Learning About Monetary Policy Rules,"
00/41, Department of Economics, University of York.
- Deaton, A. & Laroque, G., 1996. "Competitive storage and commodity price dynamics," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
- Salant, Stephen W, 1976. "Exhaustible Resources and Industrial Structure: A Nash-Cournot Approach to the World Oil Market," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 1079-93, October.
- Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
- Deaton, Angus & Laroque, Guy, 1996. "Competitive Storage and Commodity Price Dynamics," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 896-923, October.
- Batlome Janjgava & Sergey Slobodyan, 2011. "Duopoly Competition, Escape Dynamics and Non-cooperative Collusion," CERGE-EI Working Papers wp445, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
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