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Revealed Preference Tests of the Cournot Model

Author

Listed:
  • Andrés Carvajal
  • Rahul Deb
  • James Fenske
  • John K.‐H. Quah

Abstract

We consider an observer who makes a finite number of observations of an industry producing a homogeneous good, where each observation consists of the market price and firm specific production quantities. We develop a revealed preference test (in the form of a linear program) for the hypothesis that the firms are playing a Cournot game, assuming that they have convex cost functions that do not change and the observations are generated by the demand function varying across observations. Extending this basic result, we develop tests for the case where (in addition to changes to demand) firms' cost functions may vary across observations. We also develop tests of Cournot interaction in cases where there are multiple products and where cost functions may be non-convex. Applying these results to the crude oil market, we show that Cournot behavior is strongly rejected.
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Suggested Citation

  • Andrés Carvajal & Rahul Deb & James Fenske & John K.‐H. Quah, 2013. "Revealed Preference Tests of the Cournot Model," Econometrica, Econometric Society, vol. 81(6), pages 2351-2379, November.
  • Handle: RePEc:ecm:emetrp:v:81:y:2013:i:6:p:2351-2379
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Brander, James A. & Spencer, Barbara J., 2015. "Intra-industry trade with Bertrand and Cournot oligopoly: The role of endogenous horizontal product differentiation," Research in Economics, Elsevier, pages 157-165.
    2. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.
    3. Carvajal, Andrés & González, Natalia, 2014. "On refutability of the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 177-186.
    4. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2013. "The empirical content of Cournot competition," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1552-1581.
    5. Andrés Carvajal & Rahul Deb & James Fenske & John Quah, 2014. "A nonparametric analysis of multi-product oligopolies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 253-277, October.
    6. Paul van Bruggen, 2016. "A Comment on Revealed Preference with a Subset of Goods," Tinbergen Institute Discussion Papers 16-068/I, Tinbergen Institute.
    7. Nikolay Klemashev & Alexander Shananin, 2015. "Positively-homogeneous Konus-Divisia indices and their applications to demand analysis and forecasting," Papers 1501.05771, arXiv.org.
    8. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
    9. Alfred Galichon & John Quah, 2013. "Symposium on revealed preference analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 419-423, November.
    10. Shcherbakov, Oleksandr & Wakamori, Naoki, 2015. "A simple way to identify the degree of collusion under proportional reduction," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 497, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    11. Moghadam, Hamed M., 2015. "The nonparametric approach to evolutionary oligopoly," Ruhr Economic Papers 576, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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