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Optimal punishments in linear duopoly supergames with product differentiation

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  • Luca Lambertini
  • Dan Sasaki

Abstract

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Suggested Citation

  • 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.
  • Handle: RePEc:kap:jeczfn:v:69:y:1999:i:2:p:173-188
    DOI: 10.1007/BF01232420
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    References listed on IDEAS

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    1. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
    2. Val Eugene Lambson, 1987. "Optimal Penal Codes in Price-setting Supergames with Capacity Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 385-397.
    3. 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.
    4. Rothschild, R., 1992. "On the sustainability of collusion in differentiated duopolies," Economics Letters, Elsevier, vol. 40(1), pages 33-37, September.
    5. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March.
    6. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    7. 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.
    8. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    9. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Fiaschi, Lorenzo & Cococcioni, Marco, 2021. "Non-Archimedean game theory: A numerical approach," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    2. Colombo, Luca & Labrecciosa, Paola, 2006. "The suboptimality of optimal punishments in Cournot supergames," Economics Letters, Elsevier, vol. 90(1), pages 116-121, January.
    3. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 2002. "Research joint ventures, product differentiation, and price collusion," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 829-854, June.
    4. Per Baltzer Overgaard & Peter Møllgaard, 2005. "Information Exchange, Market Transparency and Dynamic Oligopoly," CIE Discussion Papers 2005-11, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    5. Tadashi Sekiguchi & Katsutoshi Wakai, 2016. "Repeated Games with Recursive Utility:Cournot Duopoly under Gain/Loss Asymmetry," Discussion papers e-16-006, Graduate School of Economics , Kyoto University.
    6. Baldelli, Serena & Lambertini, Luca, 2006. "Price vs quantity in a duopoly supergame with Nash punishments," Research in Economics, Elsevier, vol. 60(3), pages 121-130, September.
    7. Osterdal, Lars Peter, 2003. "A note on the stability of collusion in differentiated oligopolies," Research in Economics, Elsevier, vol. 57(1), pages 53-64, March.
    8. Lambertini Luca, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, De Gruyter, vol. 1(4), pages 421-442, December.
    9. Jen-Yao Lee & Chen-Chia Fan & Chien-Shu Tsai, 2023. "Network Externalities and Downstream Collusion under Asymmetric Costs: A Note," Games, MDPI, vol. 14(2), pages 1-11, March.
    10. Helmuts Azacis & David R Collie, 2018. "Taxation and the sustainability of collusion: ad valorem versus specific taxes," Journal of Economics, Springer, vol. 125(2), pages 173-188, October.
    11. Salvatore Piccolo & Aldo Pignataro, 2016. "Consumer Loss Aversion, Product Experimentation and Implicit Collusion," CSEF Working Papers 457, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    12. David R. Collie, 2006. "Collusion in Differentiated Duopolies with Quadratic Costs," Bulletin of Economic Research, Wiley Blackwell, vol. 58(2), pages 151-159, April.
    13. Douglas C. Turner, 2022. "Taxation and the sustainability of collusion with asymmetric costs," Journal of Economics, Springer, vol. 135(1), pages 1-48, January.
    14. Leonardo Madio & Aldo Pignataro, 2022. "Collusion sustainability with a capacity constrained firm," "Marco Fanno" Working Papers 0295, Dipartimento di Scienze Economiche "Marco Fanno".
    15. Bin Ying & Leonard F. S. Wang & Qidi Zhang, 2023. "Upstream collusion and corporate social responsibility in downstream competition," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(2), pages 1020-1028, March.
    16. Piccolo, Salvatore & Pignataro, Aldo, 2018. "Consumer loss aversion, product experimentation and tacit collusion," International Journal of Industrial Organization, Elsevier, vol. 56(C), pages 49-77.
    17. Leonardo Madio & Aldo Pignataro, 2022. "Collusion Sustainability with a Capacity Constrained Firm," CESifo Working Paper Series 10170, CESifo.

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    More about this item

    Keywords

    penal codes; security level; product differentiation; positivity constraints; C72; D43; L13;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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