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Non-Negative Quantity Constraints and the Duration of Punishment

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Author Info

  • Luca Lambertini
  • Dan Sasaki

Abstract

In an oligopoly supergame, firms face an obvious technological constraint: the positivity of their production quantities. WE show that Lambson's (1987) result on "security-level punishment", that the single-period punishment makes the firm's discounted participation condition just bind, holds only in a Bertrand supergame with perfect substitutes. In general, the sustainability of collusion by means of single-period penal codes hinges critically upon the degree of supermodularity in the stage game, as well as upon the positivity constraints on prices and/or quantities.

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Bibliographic Info

Article provided by Japanese Economic Association in its journal Japanese Economic Review.

Volume (Year): 53 (2002)
Issue (Month): 1 ()
Pages: 77-93

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Handle: RePEc:bla:jecrev:v:53:y:2002:i:1:p:77-93

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Cited by:
  1. Robert Gagné & Simon Van Norden & Bruno Versaevel, 2006. "Testing Optimal Punishment Mechanisms under Price Regulation: the Case of the Retail Market for Gasoline," Post-Print halshs-00142516, HAL.
  2. Billette de Villemeur, Etienne & Flochel, Laurent & Versaevel, Bruno, 2012. "Optimal collusion with limited liability," MPRA Paper 38481, University Library of Munich, Germany.
  3. Etienne Billette De Villemeur & Laurent Flochel & Bruno Versaevel, 2009. "Optimal Collusion with Limited Severity Constraint," Post-Print halshs-00375798, HAL.
  4. Flochel, Laurent & Versaevel, Bruno & de Villemeur, Étienne, 2009. "Optimal Collusion with Limited Liability and Policy Implications," IDEI Working Papers 547, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jul 2011.

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