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Non-Negative Quantity Constraints and the Duration of Punishment
Luca Lambertini University of Bologna - Department of Economics Dan Sasaki University of Exeter Business School Japanese Economic Review, Vol. 53, No. 1, pp. 77-93, March 2002 Abstract: In an oligopoly supergame, firms face an obvious technological constraint: the positivity of their production quantities. Applicability of single-period optimal punishment hinges critically upon the degree of supermodularity in the stage game, as well as upon the positivity constraints on prices and/or quantities. If both prices and quantities are constrained to be positive, then the relevant multi-period punishment prescribes security-level payoffs (where individual rationality binds) when and only when the game is perfectly supermodular, i.e. is either a Bertrand supergame with perfect substitute products or a Cournot supergame with perfect complement products.
JEL Classifications: D43, L13, C72 Accepted Paper SeriesDate posted: November 14, 2002 ; Last revised: February 28, 2004Suggested CitationContact Information
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