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A Spatial Model Of Cartel Stability: The Influence Of Production Cost Convexity

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  • Kai Andree
  • John S. Heywood
  • Mike Schwan
  • Zheng Wang

Abstract

We uniquely introduce convex production costs into a cartel model involving spatial price discrimination. We demonstrate that greater convexity improves cartel stability and that for sufficient convexity first best locations will be adopted. We show that allowing locations to vary over the game reduces cartel stability but that greater convexity continues to improve that stability. Moreover, when the degree of convexity does not support the first best collusive locations, other collusive locations exist that require less stability and these may either increase or decrease social welfare relative to competition. Critically, these locations that require less stability are more dispersed in sharp contrast to the known result assuming linear production costs.

Suggested Citation

  • Kai Andree & John S. Heywood & Mike Schwan & Zheng Wang, 2018. "A Spatial Model Of Cartel Stability: The Influence Of Production Cost Convexity," Bulletin of Economic Research, Wiley Blackwell, vol. 70(3), pages 298-311, July.
    • Handle: RePEc:bla:buecrs:v:70:y:2018:i:3:p:298-311
    DOI: 10.1111/boer.12149
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    References listed on IDEAS

    as
    1. John A. List & Michael K. Price, 2005. "Conspiraces and Secret Price Discounts in the Marketplace: Evidence from Field Experiments," RAND Journal of Economics, The RAND Corporation, vol. 36(3), pages 700-717, Autumn.
    2. Stefano Colombo, 2016. "Mixed oligopolies and collusion," Journal of Economics, Springer, vol. 118(2), pages 167-184, June.
    3. Pedro Posada & Odd Rune Straume, 2004. "Merger, Partial Collusion and Relocation," Journal of Economics, Springer, vol. 83(3), pages 243-265, December.
    4. Ramcharran, Harri, 2011. "The pharmaceutical industry of Puerto Rico: Ramifications of global competition," Journal of Policy Modeling, Elsevier, vol. 33(3), pages 395-406, May.
    5. John Heywood & Zheng Wang, 2014. "Spatial price discrimination and mergers with convex production costs," Letters in Spatial and Resource Sciences, Springer, vol. 7(1), pages 1-8, March.
    6. Thisse, Jacques-Francois & Vives, Xavier, 1988. "On the Strategic Choice of Spatial Price Policy," American Economic Review, American Economic Association, vol. 78(1), pages 122-137, March.
    7. repec:bla:econom:v:48:y:1981:i:189:p:79-86 is not listed on IDEAS
    8. Stefano Colombo, 2012. "Collusion in two models of spatial competition with quantity-setting firms," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(1), pages 45-69, February.
    9. Toshihiro Matsumura & Noriaki Matsushima, 2005. "Cartel Stability in a Delivered Pricing Oligopoly," Journal of Economics, Springer, vol. 86(3), pages 259-292, December.
    10. Harrington, Joseph E. & Hüschelrath, Kai & Laitenberger, Ulrich & Smuda, Florian, 2015. "The discontent cartel member and cartel collapse: The case of the German cement cartel," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 106-119.
    11. Carlton, Dennis W, 1983. "A Reexamination of Delivered Pricing Systems," Journal of Law and Economics, University of Chicago Press, vol. 26(1), pages 51-70, April.
    12. Assaf, A., 2010. "Bootstrapped scale efficiency measures of UK airports," Journal of Air Transport Management, Elsevier, vol. 16(1), pages 42-44.
    13. John Greenhut & M. L. Greenhut & Sheng-yung Li, 1980. "Spatial Pricing Patterns in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 329-350.
    14. repec:bla:ausecp:v:40:y:2001:i:2:p:213-31 is not listed on IDEAS
    15. Brad R. Humphreys & Jane E. Ruseski, 2009. "Monitoring Cartel Behavior and Stability: Evidence from NCAA Football," Southern Economic Journal, John Wiley & Sons, vol. 75(3), pages 720-735, January.
    16. John Heywood & Zheng Wang, 2015. "How to license a transport innovation," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(2), pages 485-500, December.
    17. Colombo, Stefano, 2010. "Product differentiation, price discrimination and collusion," Research in Economics, Elsevier, vol. 64(1), pages 18-27, March.
    18. Kai Andree & Mike Schwan, 2012. "Collusive Market Sharing with Spatial Competition," Economics Bulletin, AccessEcon, vol. 32(4), pages 3357-3364.
    19. Hurter, Arthur Jr & Lederer, Phillip J., 1985. "Spatial duopoly with discriminatory pricing," Regional Science and Urban Economics, Elsevier, vol. 15(4), pages 541-553, November.
    20. Gupta, Barnali, 1994. "Competitive spatial price discrimination with strictly convex production costs," Regional Science and Urban Economics, Elsevier, vol. 24(2), pages 265-272, April.
    21. 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 773-793, November.
    22. Wen-Jen Hsieh, 1995. "Test of variable output and scale elasticities for 20 US manufacturing industries," Applied Economics Letters, Taylor & Francis Journals, vol. 2(8), pages 284-287.
    23. 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.
    24. Hackner, Jonas, 1995. "Endogenous product design in an infinitely repeated game," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 277-299.
    25. Barnali Gupta & Guhan Venkatu, 2002. "Tacit Collusion in a Spatial Model with Delivered Pricing," Journal of Economics, Springer, vol. 76(1), pages 49-64, May.
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    Cited by:

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