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Technology and Cartel Stability under Vertical Differentiation

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  • Lambertini Luca

    (University of Bologna, Bologna, Italy)

Abstract

The interplay between R&D activity and cartel stability is investigated in a vertical differentiation framework with convex costs. The behaviour of firms' critical discount factors as the curvature of the cost function varies is investigated, considering either price- or quantity-setting behaviour. In order to stabilize collusion, firms are better off playing à la Cournot and supplying the non-cooperative qualities. There emerges a tradeoff between the reduction of the convexity of the cost function and the associated increase in marginal cost. The decision to carry out joint or independent ventures in research is also investigated, showing that such a decision is non-monotone in intertemporal discounting. Policy measures are then briefly discussed.

Suggested Citation

  • Lambertini Luca, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, De Gruyter, vol. 1(4), pages 421-442, December.
    • Handle: RePEc:bpj:germec:v:1:y:2000:i:4:p:421-442
    DOI: 10.1111/1468-0475.00020
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    1. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
    2. Majerus, David W., 1988. "Price vs. quantity competition in oligopoly supergames," Economics Letters, Elsevier, vol. 27(3), pages 293-297.
    3. Lambertini, Luca, 1996. "Cartel Stability and the Curvature of Market Demand," Bulletin of Economic Research, Wiley Blackwell, vol. 48(4), pages 329-334, October.
    4. Giulio Ecchia & Luca Lambertini, 1997. "Minimum Quality Standards and Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 45(1), pages 101-113, March.
    5. 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.
    6. Rosenkranz, Stephanie, 1995. "Innovation and cooperation under vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 13(1), pages 1-22, March.
    7. Hackner, Jonas, 1995. "Endogenous product design in an infinitely repeated game," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 277-299.
    8. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    9. Rothschild, R., 1992. "On the sustainability of collusion in differentiated duopolies," Economics Letters, Elsevier, vol. 40(1), pages 33-37, September.
    10. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 1998. "Standardization and the stability of collusion," Economics Letters, Elsevier, vol. 58(3), pages 303-310, March.
    11. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March.
    12. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    13. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    14. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    15. Luca Lambertini & Dan Sasaki, 1999. "Optimal punishments in linear duopoly supergames with product differentiation," Journal of Economics, Springer, vol. 69(2), pages 173-188, June.
    16. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    17. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    18. Albaek, Svend & Lambertini, Luca, 1998. "Collusion in differentiated duopolies revisited," Economics Letters, Elsevier, vol. 59(3), pages 305-308, June.
    19. Luca Lambertini & Sougata Poddar & Dan Sasaki, 1997. "RJVs and Price Collusion under Endogenous Product Differentiation," Discussion Papers 97-09, University of Copenhagen. Department of Economics.
    20. 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.
    21. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    22. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    23. Carl A. Futia, 1980. "Schumpeterian Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 675-695.
    24. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
    25. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    26. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    27. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
    28. Ecchia, Giulio & Lambertini, Luca, 1997. "Minimum Quality Standards and Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 45(1), pages 101-113, March.
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    Cited by:

    1. Gabszewicz Jean J. & Marini Marco A. & Tarola Ornella, 2019. "Endogenous Mergers in Markets with Vertically Differentiated Products," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-22, January.
    2. Marco A. Marini, 2018. "Collusive agreements in vertically differentiated markets," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume II, chapter 3, pages 34-56, Edward Elgar Publishing.
    3. Gabszewicz, J.J. & Marini, M. & Tarola, O., 2015. "Alliance Formation in a Vertically Differentiated Market," LIDAM Discussion Papers CORE 2015030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Nguyen, Xuan, 2015. "On the efficiency of private and state-owned enterprises in mixed markets," Economic Modelling, Elsevier, vol. 50(C), pages 130-137.
    5. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2015. "Endogenous Mergers in Vertically Differentiated Markets," MPRA Paper 68318, University Library of Munich, Germany.

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