The Empirical Content of Cournot Competition

We consider the testable implications of the Cournot model of market competition. Our approach is nonparametric in the sense that we abstain from imposing any functional specification on market demand and firm cost functions. We derive necessary and sufficient conditions for (reduced form) equilibrium market price and quantity functions to be consistent with the Cournot model. In addition, we present identification results for the corresponding inverse market demand function and the firm cost functions. Finally, we use our approach to derive testable restrictions for the models of perfect competition, collusion and conjectural variations. This identifies the conditions under which these different models are empirically distinguishable from the Cournot model. We also investigate empirical issues (measurement error and omitted variables) related to bringing our testable restrictions to data.

[1]  W. Newey,et al.  Kernel Estimation of Partial Means and a General Variance Estimator , 1994, Econometric Theory.

[2]  Ivar Ekeland,et al.  The micro economics of group behavior: General characterization , 2006, J. Econ. Theory.

[3]  Rosa L. Matzkin Estimation of Nonparametric Models With Simultaneity , 2015 .

[4]  Quang Vuong,et al.  Nonparametric Identification of Risk Aversion in First‐Price Auctions Under Exclusion Restrictions , 2009 .

[5]  Kazuo Nishimura,et al.  Existence of Nash Equilibrium in n Person Games without Quasi-Concavity , 1981 .

[6]  Rodolphe Dos Santos Ferreira,et al.  Competition for Market Share or for Market Size: Oligopolistic Equilibria with Varying Competitive Toughness , 2007 .

[7]  H. Uzawa,et al.  A Note on Separability in Demand Analysis , 1964 .

[8]  P. Chiappori,et al.  Learning from a Piece of Pie , 2012 .

[9]  C. Kolstad,et al.  Necessary and sufficient conditions for uniqueness of a Cournot equilibrium , 2011 .

[10]  S. Afriat Efficiency Estimation of Production Function , 1972 .

[11]  Ian Preston,et al.  Noncooperative household demand , 2008, J. Econ. Theory.

[12]  N. Long,et al.  Existence and uniqueness of Cournot equilibrium: a contraction mapping approach , 2000 .

[13]  Timothy F. Bresnahan,et al.  The oligopoly solution concept is identified , 1982 .

[14]  Rodolphe Dos Santos Ferreira,et al.  Price-Quantity Competition with Varying Toughness , 2004, Games Econ. Behav..

[15]  S. Yakowitz,et al.  A New Proof of the Existence and Uniqueness of the Cournot Equilibrium , 1977 .

[16]  Rosa L. Matzkin NONPARAMETRIC IDENTIFICATION , 2012 .

[17]  Quang Vuong,et al.  Nonparametric Identification of a Contract Model With Adverse Selection and Moral Hazard , 2011 .

[18]  Q. Vuong,et al.  Optimal Nonparametric Estimation of First-price Auctions , 2000 .

[19]  Lawrence J. Lau,et al.  On identifying the degree of competitiveness from industry price and output data , 1982 .

[20]  S. Salant,et al.  Center for Research on Economic and Social Theory CREST Working Paper Uniqueness of Cournot Equilibrium : New Results from Old Methods , 2013 .

[21]  Rosa L. Matzkin Chapter 73 Nonparametric identification , 2007 .

[22]  W. Novshek On the Existence of Cournot Equilibrium , 1985 .

[23]  Frank Hahn,et al.  The Stability of the Cournot Oligopoly Solution , 1962 .

[24]  Rosa L. Matzkin Nonparametric Estimation of Nonadditive Random Functions , 2003 .

[25]  C. d'Aspremont,et al.  Household behavior and individual autonomy , 2009 .

[26]  Philip A. Haile,et al.  On the Empirical Content of Quantal Response Equilibrium , 2003 .

[27]  P.-A. CHIAPPORI,et al.  Material SUPPLEMENT TO “ THE MICRO ECONOMICS OF EFFICIENT GROUP BEHAVIOR : IDENTIFICATION ” : A PARAMETRIC , 2009 .

[28]  Rosa L. Matzkin Identification in Nonparametric Simultaneous Equations Models , 2008 .

[29]  J. Aczél,et al.  Lectures on Functional Equations and Their Applications , 1968 .

[30]  Pierre-Andre Chiappori,et al.  Testable implications of transferable utility , 2010, J. Econ. Theory.

[31]  Andrés Carvajal,et al.  REVEALED PREFERENCE TESTS OF THE COURNOT MODEL , 2013 .

[32]  P. Chiappori,et al.  Testable Implications of General Equilibrium Theory: A Differentiable Approach , 2002 .

[33]  K. Corts,et al.  Conduct parameters and the measurement of market power , 1999 .

[34]  H. Varian The Nonparametric Approach to Production Analysis , 1984 .