A Nonparametric Test of Strategic Behavior in the Cournot Model

Deb, Rahul and Fenske, James (2009): A Nonparametric Test of Strategic Behavior in the Cournot Model.

Abstract

We devise a nonparametric test of strategic behavior in a multiproduct Cournot oligopoly. It is assumed that firms have cost functions that do not change over the period of observation but that market demand can change in each period. Market prices and firm-specific production quantities are observed and it is assumed that neither the inverse demand functions nor the cost functions are known. The driving assumptions of the test are that market inverse demand functions are decreasing and differentiable at each period and that cost functions are increasing and convex for each firm. Under these very general conditions, we show that this test imposes strong restrictions on observed data. We apply the test to the crude oil market and find that strategic behavior is strongly rejected.

• Item Type: MPRA Paper
• Language: English
• Keywords: Competitive behavior, Multiproduct Cournot oligopoly, Nonparametric test, Crude oil market, OPEC.
• Subjects: D - Microeconomics > D2 - Production and Organizations > D21 - Firm Behavior: Theory; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General; D - Microeconomics > D4 - Market Structure, Pricing, and Design > D43 - Oligopoly and Other Forms of Market Imperfection; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games

References

Almoguera, P. and Herrera, A. (2007), Testing for the cartel in OPEC: noncooperative collusion or just noncooperative?. Working Paper.

Alhajji, A. and Huettner, D. (2000), OPEC and World Crude Oil Markets from 1973 to 1994: Cartel, Oligopoly, or Competitive? The Energy Journal, 21(3), 31-60.

Brander, J. and Eaton, J. (1984), Product Line Rivalry. American Economic Review, 74, 323-334.

Bulow, J., Geanakoplos, J. and Klemperer, P. (1985), Strategic Substitutes and Complements. Journal of Political Economy, 93, 488-511.

Carvajal, A. (2004), Testable Restrictions of Nash Equilibrium in Games with Continuous Domains. Working Paper.

Chavas, J. P. and Cox, T. L. (1993), On Generalized Revealed Preference Analysis. The Quarterly Journal of Economics, 108(2), 493-506.

Dahl, C. and Yucel, M. (1991), Testing Alternative Hypotheses of Oil Producer Behavior. The Energy Journal, 12(4), 117-138.

Deb, R. (2008), Interdependent Preferences, Potential Games and Household Consumption. Working Paper.

Deb, R. (2009), A Testable Model Of Consumption With Externalities. Journal of Economic Theory, 144, 1804-1816.

Forges, F. and Minelli, E. (2009), {Afriat’s Theorem for General Budget Sets. Journal of Economic Theory, 144, 135-145.

Gault, J., Spierer, J., Bertholet, J.and Karbassioun (1999), How does OPEC allocate quotas? Journal of Energy Finance and Development, 4(2), 137-148.

Geroski, P. A. (1988), In Pursuit of Monopoly Power: Recent Quantitative Work in Industrial Economics. Journal of Applied Econometrics, 3(2), 107-123.

Griffin, J. (1985), OPEC Behavior: A Test of Alternative Hypotheses. The American Economic Review, 75(5), 954-963.

Griffin, J. and Neilson, W. (1994), The 1985-86 oil price collapse and afterwards: what does game theory add? Economic Inquiry, 32(4), 543-561.

Gulen, G. (1996), Is OPEC a cartel? Evidence from cointegration and causality tests. The Energy Journal, 17(2), 43-58.

Jones, C. (1990), OPEC behaviour under falling prices: Implications for cartel stability. The Energy Journal, 11(3), 117-134.

Monderer, D., and Shapley, L. (1996), Potential Games. Games and Economic Behavior}, 14, 124-143.

Loderer, C. (1985), A Test of the OPEC Cartel Hypothesis: 1974-1983. The Journal of Finance, 40(3), 991-1006.

Ramcharran, H. (2002), Oil production responses to price changes: an empirical application of the competitive model to OPEC and non-OPEC countries. Energy Economics, 24(2), 97-106.

Spilimbergo, A. (2001), Testing the hypothesis of collusive behavior among OPEC members. Energy Economics, 23(3), 339-353.

Varian, H. (1982), The Nonparametric Approach to Demand Analysis}. Econometrica, 50, 945-974.

Varian, H. (1984), The Nonparametric Approach to Production Analysis. Econometrica} 52(3), 579-597.