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A Cost-Side Analysis on Collusive Sustainability

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Author Info
Lambertini, L.
Sasaki, D.

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Abstract

In an oligopoly supergame, firms' actions in prices and quantities are subject to non-negativity constraints. These constraints can obstruct the practicability of optimal punishment (a la Abreu (1986), Lambson (1987), and Hackner (1996)) in sustaining tacit collusion. Noting that the prospect of single-period optimal punishment depends indispensably upon firms' ability to charge prices strictly below marginal costs (loss-making pricing), under the presence of positive price constraints, marginal costs can serve as a "fudge" to materialise single-period optimal punishment. In this paper we characterise the effects of profit-cost ratios (or mark-ups) on the sustainability of tacit collusion, in light of optimal punishment.

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Publisher Info
Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 710.

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Length: 20 pages
Date of creation: 1999
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Handle: RePEc:mlb:wpaper:710

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Related research
Keywords: OLIGOPOLIES ; MARKET STRUCTURE ; GAME THEORY;

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Find related papers by JEL classification:
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June. [Downloadable!] (restricted)
  2. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42. [Downloadable!] (restricted)
  3. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November. [Downloadable!] (restricted)
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  4. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March. [Downloadable!] (restricted)
  5. Chang, Myong-Hun, 1991. "The effects of product differentiation on collusive pricing," International Journal of Industrial Organization, Elsevier, vol. 9(3), pages 453-469, September. [Downloadable!] (restricted)
  6. Chang, Myong-Hun, 1992. "Intertemporal Product Choice and Its Effects on Collusive Firm Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 773-93, November. [Downloadable!] (restricted)
  7. James W. Friedman & Jacques-Francois Thisse, 1993. "Partial Collusion Fosters Minimum Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 631-645, Winter. [Downloadable!] (restricted)
  8. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Blackwell Publishing, vol. 38(113), pages 1-12, January. [Downloadable!] (restricted)
  11. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring. [Downloadable!] (restricted)
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  12. Hackner, Jonas, 1995. "Endogenous product design in an infinitely repeated game," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 277-299. [Downloadable!] (restricted)
  13. Lambson, Val Eugene, 1995. "Optimal penal codes in nearly symmetric Bertrand supergames with capacity constraints," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 1-22. [Downloadable!] (restricted)
  14. Hackner, Jonas, 1996. "Optimal symmetric punishments in a Bertrand differentiated products duopoly," International Journal of Industrial Organization, Elsevier, vol. 14(5), pages 611-630, July. [Downloadable!] (restricted)
  15. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June. [Downloadable!] (restricted)
  16. Rothschild, R., 1992. "On the sustainability of collusion in differentiated duopolies," Economics Letters, Elsevier, vol. 40(1), pages 33-37, September. [Downloadable!] (restricted)
  17. Albaek, Svend & Lambertini, Luca, 1998. "Collusion in differentiated duopolies revisited," Economics Letters, Elsevier, vol. 59(3), pages 305-308, June. [Downloadable!] (restricted)
  18. Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 385-97, July. [Downloadable!] (restricted)
  19. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March. [Downloadable!] (restricted)
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