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Partial Certifiability and Information Precision in a Cournot Game

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Author Info
Frédéric KOESSLER

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Abstract

This paper examines strategic information revelation in a Cournot duopoly with incomplete information about firm~1\'s cost and information precision. Firm~2 relies on certifiable and ex post submissions of firm~1, without necessarily knowing whether firm~1 knows its cost or not. The sequential equilibria of the induced communication game are determined for different certifiability possibilities. A perfectly cevealing equilibrium in which information precision is irrelevant is obtained under full certifiability. On the contrary, it is shown that if only payoff-relevant (fundamental) events can be certified, then the equilibrium output and profit of firm~1 decreases with its average information precision if this firm is uninformed or if its cost is high. A consequence of this local effect is that information precision has, on average, no value for a firm.

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Paper provided by Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg in its series Working Papers of BETA with number 2002-03.

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Date of creation: 2002
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Handle: RePEc:ulp:sbbeta:2002-03

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Related research
Keywords: Strategic information revelation Information precision Cournot competition Cost uncertainty Higher order uncertainty.

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law & Economics, University of Chicago Press, vol. 24(3), pages 461-83, December.
  2. Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August. [Downloadable!] (restricted)
  3. Okuno-Fujiwara, Masahiro & Postlewaite, Andrew & Suzumura, Kotaro, 1990. "Strategic Information Revelation," Review of Economic Studies, Blackwell Publishing, vol. 57(1), pages 25-47, January. [Downloadable!] (restricted)
  4. Vives, Xavier, 1984. "Duopoly information equilibrium: Cournot and bertrand," Journal of Economic Theory, Elsevier, vol. 34(1), pages 71-94, October. [Downloadable!] (restricted)
  5. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March. [Downloadable!] (restricted)
  6. Shin Hyun Song, 1994. "The Burden of Proof in a Game of Persuasion," Journal of Economic Theory, Elsevier, vol. 64(1), pages 253-264, October. [Downloadable!] (restricted)
  7. Glazer, Jacob & Rubinstein, Ariel, 2001. "Debates and Decisions: On a Rationale of Argumentation Rules," Games and Economic Behavior, Elsevier, vol. 36(2), pages 158-173, August. [Downloadable!] (restricted)
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  8. William Novshek & Hugo Sonnenschein, 1982. "Fulfilled Expectations Cournot Duopoly with Information Acquisition and Release," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 214-218, Spring. [Downloadable!] (restricted)
  9. Shapiro, Carl, 1986. "Exchange of Cost Information in Oligopoly," Review of Economic Studies, Blackwell Publishing, vol. 53(3), pages 433-46, July. [Downloadable!] (restricted)
  10. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn. [Downloadable!] (restricted)
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  11. Richard N. Clarke, 1983. "Collusion and the Incentives for Information Sharing," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 383-394, Autumn. [Downloadable!] (restricted)
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