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Profit-Sharing in a Collusive Industry

Author

Listed:
  • Martin J. Osborne

    (Columbia University)

  • Carolyn Pitchik

    (New York University)

Abstract

We study a model in which collusive duopolists divide up the monopoly profit according to their relative bargaining power. We are particularly interested in how the negotiated profit shares depend on the sizes of the firms. If each can produce at the same constant unit cost up to its capacity, we show that the profit per unit of capacity of the small firm is higher than that of the large one. We also study how the ratio of the negotiated profits depends on the size of demand relative to industry capacity, and how this ratio changes with variations in demand.

Suggested Citation

  • Martin J. Osborne & Carolyn Pitchik, 1983. "Profit-Sharing in a Collusive Industry," Cowles Foundation Discussion Papers 668, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:668
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d06/d0668.pdf
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    References listed on IDEAS

    as
    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    3. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    4. Osborne, Dale K, 1976. "Cartel Problems," American Economic Review, American Economic Association, vol. 66(5), pages 835-844, December.
    5. Joe S. Bain, 1948. "Output Quotas in Imperfect Cartels," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 62(4), pages 617-622.
    6. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
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    Citations

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    Cited by:

    1. Tay-Cheng Ma, 2005. "Strategic investment and excess capacity: A study of the Taiwanese flour industry," Journal of Applied Economics, Universidad del CEMA, vol. 8, pages 153-170, May.
    2. António Brandão & Joana Pinho & Hélder Vasconcelos, 2014. "Asymmetric Collusion with Growing Demand," Journal of Industry, Competition and Trade, Springer, vol. 14(4), pages 429-472, December.
    3. Schmalensee, Richard., 1985. "Competitive advantage and collusion," Working papers 1724-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Ismail Saglam, 2020. "Bargaining over collusion: the threat of supply function versus Cournot competition under demand uncertainty and cost asymmetry," The Japanese Economic Review, Springer, vol. 71(4), pages 671-693, October.
    5. Porter, Robert H., 2020. "Mergers and coordinated effects," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    6. Ma, Tay-Cheng, 2005. "Strategic Investment and Excess Capacity: A Study of the Taiwanese Flour Industry," Journal of Applied Economics, Universidad del CEMA, vol. 8(1), pages 1-18, May.
    7. Macleod, W. Bentley, 1985. "A theory of conscious parallelism," European Economic Review, Elsevier, vol. 27(1), pages 25-44, February.
    8. Saglam, Ismail, 2018. "Bargaining over Collusion Profits under Cost Asymmetry and Demand Uncertainty," MPRA Paper 84007, University Library of Munich, Germany.
    9. Filipa Mota & João Correia-da-Silva & Joana Pinho, 2023. "Public–Private Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 62(4), pages 393-417, June.
    10. Ma, Tay-Cheng, 2008. "Disadvantageous collusion and government regulation," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 168-185, January.
    11. Aitor Ciarreta & Carlos Gutiérrez-Hita, 2012. "Collusive behaviour under cost asymmetries when firms compete in supply functions," Journal of Economics, Springer, vol. 106(3), pages 195-219, July.
    12. Hattori, Keisuke, 2021. "Profit-Sharing vs Price-Fixing Collusion with Heterogeneous Firms," MPRA Paper 110800, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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