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A nonparametric analysis of the Cournot model

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Carvajal, Andrés M. and Quah, John K.-H. (2009) A nonparametric analysis of the Cournot model. Working Paper. University of Warwick, Department of Economics, University of Warwick.

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Abstract

An observer makes a number of observations of an industry producing a homogeneous good. Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost. We provide various tests (typically, linear programs) with which the observer can determine if the data set is consistent with the hypothesis that firms in this industry are playing a Cournot game at each observation. When cost information is wholly or partially unavailable, these tests could potentially be used to derive cost information on the firms. This paper is a contribution to the literature that aims to characterize (in various contexts) the restrictions that a data set must satisfy for it to be consistent with Nash outcomes in a game. It is also inspired by the seminal result of Afriat (and the subsequent literature) which addresses similar issues in the context of consumer demand, though one important technical difference from most of these results is that the objective functions of firms in a Cournot game are not necessarily quasiconcave.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH): Economics -- Mathematical models, Industries -- Linear programming, Industrial organization (Economic theory)
Series Name: The Warwick Economics Research Paper Series (TWERPS)
Publisher: University of Warwick
Place of Publication: Department of Economics, University of Warwick
Date: 2009
Volume: Vol.2009
Number: No.922
Status: Not Peer Reviewed
Access rights to Published version: Open Access
Funder: Economic and Social Research Council (Great Britain) (ESRC)
Grant number: RES-000-22-3771 (ESRC), RES-000-22-3187 (ESRC)
References: AFRIAT, S. (1967): "The construction of a utility function from expenditure data," Interna- tional Economic Review, 8, 67-77. BRESNAHAN, T. (1989): "Empirical studies of industries with market power," in Hanbook of Industrial Economics, Vol. II, eds. R. SCHMALENSEE AND R. D. WILLIG, Elsevier. BROWN, D. and R. MATZKIN (1996): "Testable restrictions on the equilibrium manifold," Econometrica, 64-6, 1249-1262. CARVAJAL, A (2004): "Testable restrictions on the equilibrium manifold under random pref- erences," Journal of Mathematical Economics, 40, 121-143. CARVAJAL, A (2005): "Testable restrictions of game theory in games with continuous do- mains," Royal Holloway, University of London, Discussion Paper dpe02/26. CARVAJAL, A (2009): "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, forthcoming. CARVAJAL, A., I. RAY, AND S. SNYDER (2004): "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, 40, 1-40. FORGES, F. AND E. MINELLI (2008): "Afriat's theorem for general budget sets," Journal of Economic Theory, 144, 135-145. GENOSEVE, D. and W. MULLIN (1998): "Testing for static oligopoly models: conduct and cost in the sugar industry, 1890-1914," RAND Journal of Economics 29, 2, 335-377. KUBLER, F. (2003): "Observable restrictions of general equilibrium models with Financial markets," Journal of Economic Theory, 110, 137-153. MATZKIN, R. (1991): "Axioms of revealed preference for nonlinear choice sets," Econometrica, 59, 1779-1786. RAY, I. AND L. ZHOU (2001): "Game theory via revealed preferences," Games and Economic Behavior, 37(2), 415-424. ROUTLEDGE, R. (2009): "Testable implications of the Bertrand model," University of Manch- ester Economics Discussion Papers, EDP-0918. SPRUMONT, Y. (2000): "On the testable implications of collective choice theories," Journal of Economic Theory 93, 437-456. VARIAN, H. (1982): "The nonparametric approach to production analysis," Econometrica, 52, 579-597. ZHOU, L. (2005): "The structure of Nash equilibria for a class of two-person games," Economic Theory, 26(2), 301-308.
URI: http://wrap.warwick.ac.uk/id/eprint/3539

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