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A Nonparametric Test of Strategic Behavior in the Cournot Model

Author

Listed:
  • Deb, Rahul
  • Fenske, James

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.

Suggested Citation

  • Deb, Rahul & Fenske, James, 2009. "A Nonparametric Test of Strategic Behavior in the Cournot Model," MPRA Paper 16560, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:16560
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    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Gault, John & Spierer, Charles & Bertholet, Jean-Luc & Karbassioun, Bahman, 1999. "How does OPEC allocate quotas?," Journal of Energy Finance & Development, Elsevier, vol. 4(2), pages 137-148.
    3. Griffin, James M, 1985. "OPEC Behavior: A Test of Alternative Hypotheses," American Economic Review, American Economic Association, vol. 75(5), pages 954-963, December.
    4. Brander, James A & Eaton, Jonathan, 1984. "Product Line Rivalry," American Economic Review, American Economic Association, vol. 74(3), pages 323-334, June.
    5. Salih Gurcan Gulen, 1996. "Is OPEC a Cartel? Evidence from Cointegration and Causality Tests," Boston College Working Papers in Economics 318., Boston College Department of Economics.
    6. Deb, Rahul, 2008. "Interdependent Preferences, Potential Games and Household Consumption," MPRA Paper 6818, University Library of Munich, Germany.
    7. Jean-Paul Chavas & Thomas L. Cox, 1993. "On Generalized Revealed Preference Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 493-506.
    8. Pedro A. Almoguera & Christopher C. Douglas & Ana María Herrera, 2011. "Testing for the cartel in OPEC: non-cooperative collusion or just non-cooperative?," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 27(1), pages 144-168, Spring.
    9. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    10. Deb, Rahul, 2009. "A testable model of consumption with externalities," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1804-1816, July.
    11. Ramcharran, Harri, 2002. "Oil production responses to price changes: an empirical application of the competitive model to OPEC and non-OPEC countries," Energy Economics, Elsevier, vol. 24(2), pages 97-106, March.
    12. repec:aen:journl:1990v11-03-a06 is not listed on IDEAS
    13. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    14. repec:aen:journl:1991v12-04-a08 is not listed on IDEAS
    15. repec:aen:journl:1996v17-02-a03 is not listed on IDEAS
    16. Spilimbergo, Antonio, 2001. "Testing the hypothesis of collusive behavior among OPEC members," Energy Economics, Elsevier, vol. 23(3), pages 339-353, May.
    17. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Keywords

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    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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