Optimal Collusion with Limited Liability and Policy Implications
Collusion sustainability depends on firms’ aptitude to impose sufficiently severe punishments in case of deviation from the collusive rule. We characterize the ability of oligopolistic firms to implement a collusive strategy when their ability to punish deviations over one or several periods is limited by a severity constraint. It captures all situations in which either structural conditions (the form of payoff functions), institutional circumstances (a regulation), or financial considerations (profitability requirements) set a lower bound to firms’ losses. The model specifications encompass the structural assumptions (A1-A3) in Abreu (1986) [Journal of Economic Theory, 39, 191-225]. The optimal punishment scheme is characterized, and the expression of the lowest discount factor for which collusion can be sustained is computed, that both depend on the status of the severity constraint. This extends received results from the literature to a large class of models that include a severity constraint, and uncovers the role of structural parameters that facilitate collusion by relaxing the constraint.
|Date of creation:||Mar 2009|
|Date of revision:||Jul 2011|
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- Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
- Eckert, Andrew & West, Douglas S, 2004. "Retail Gasoline Price Cycles across Spatially Dispersed Gasoline Stations," Journal of Law and Economics, University of Chicago Press, vol. 47(1), pages 245-73, April.
- Robert Gagné & Simon van Norden & Bruno Versaevel, 2006.
"Testing Optimal Punishment Mechanisms under Price Regulation: the Case of the Retail Market for Gasoline,"
0611, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
- Robert Gagné & Simon van Norden & Bruno Versaevel, 2006. "Testing Optimal Punishment Mechanisms under Price Regulation: the Case of the Retail Market for Gasoline," Cahiers de recherche 06-12, HEC Montréal, Institut d'économie appliquée.
- Robert Gagné & Simon van Norden & Bruno Versaevel, 2003. "Testing Optimal Punishment Mechanisms Under Price Regulation: the Case of the Retail Market for Gasoline," CIRANO Working Papers 2003s-57, CIRANO.
- 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.
- Malcolm Baker & Jeremy C. Stein & Jeffrey Wurgler, 2002.
"When Does the Market Matter? Stock Prices and the Investment of Equity-Dependent Firms,"
NBER Working Papers
8750, National Bureau of Economic Research, Inc.
- Malcolm Baker & Jeremy C. Stein & Jeffrey Wurgler, 2003. "When Does The Market Matter? Stock Prices And The Investment Of Equity-Dependent Firms," The Quarterly Journal of Economics, MIT Press, vol. 118(3), pages 969-1005, August.
- Malcolm Baker & Jeremy C. Stein & Jeffrey Wurgler, 2002. "When Does the Market Matter? Stock Prices and the Investsment of Equity-Dependent Firms," Harvard Institute of Economic Research Working Papers 1978, Harvard - Institute of Economic Research.
- George Symeonidis, 2003. "In Which Industries is Collusion More Likely? Evidence from the UK," Journal of Industrial Economics, Wiley Blackwell, vol. 51(1), pages 45-74, 03.
- Miklos-Thal, Jeanine, 2008.
"Optimal Collusion under Cost Asymmetry,"
11044, University Library of Munich, Germany.
- Lambson Val Eugene, 1994. "Some Results on Optimal Penal Codes in Asymmetric Bertrand Supergames," Journal of Economic Theory, Elsevier, vol. 62(2), pages 444-468, April.
- Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 385-97, July.
- Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
- Rotemberg, Julio J & Saloner, Garth, 1986. "A Supergame-Theoretic Model of Price Wars during Booms," American Economic Review, American Economic Association, vol. 76(3), pages 390-407, June.
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