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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Length: 19 pages Date of creation: 1998 Date of revision: Handle: RePEc:mlb:wpaper:630
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Find related papers by JEL classification: D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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Etienne Billette de Villemeur & Laurent Flochel & Bruno Versaevel, 2009.
"Optimal Collusion with Limited Severity Constraint,"
Working Papers
0909, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
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