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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 Series

Date posted: November 14, 2002 ; Last revised: February 28, 2004

Suggested Citation

Lambertini, Luca and Sasaki, Dan, Non-Negative Quantity Constraints and the Duration of Punishment. Japanese Economic Review, Vol. 53, No. 1, pp. 77-93, March 2002. Available at SSRN: http://ssrn.com/abstract=309136


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Contact Information

Luca Lambertini (Contact Author)
University of Bologna - Department of Economics ( email )
Strada Maggiore 45
40125 Bologna 40125
Italy
+39 051 2092600 (Phone)
+39 051 2092664 (Fax)
Dan Sasaki
University of Exeter Business School ( email )
Department of Economics
Exeter, Devon EX4 4PU United Kingdom
(44) 1392 263242 (Fax)
HOME PAGE: http://www.ex.ac.uk/~dsasaki
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