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Pricing Policy and Partial Collusion

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  • Stefano Colombo

Abstract

We study the pricing policy equilibria emerging in a partial collusion duopolistic framework where firms in the first stage of the game choose non-cooperatively whether to price discriminate or not, and from the second stage onward collude on prices.When the discount factor is particularly high or particularly low both firms price discriminate in equilibrium. For intermediate discount factors and high firms'asymmetry, the unique equilibrium is characterized by only the smaller firm choosing price discrimination.In the case of intermediate discount factors and low firms'asymmetry, there are two possible equilibria: both firms price discriminate or no firm price discriminates.
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  • Stefano Colombo, 2011. "Pricing Policy and Partial Collusion," Journal of Industry, Competition and Trade, Springer, vol. 11(4), pages 325-349, December.
    • Handle: RePEc:kap:jincot:v:11:y:2011:i:4:p:325-349
    DOI: 10.1007/s10842-010-0087-9
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    1. Kenneth S. Corts, 1998. "Third-Degree Price Discrimination in Oligopoly: All-Out Competition and Strategic Commitment," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 306-323, Summer.
    2. Motta,Massimo, 2004. "Competition Policy," Cambridge Books, Cambridge University Press, number 9780521016919, September.
    3. Greg Shaffer & Z. John Zhang, 2002. "Competitive One-to-One Promotions," Management Science, INFORMS, vol. 48(9), pages 1143-1160, September.
    4. Qihong Liu & Konstantinos Serfes, 2004. "Quality of Information and Oligopolistic Price Discrimination," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(4), pages 671-702, December.
    5. 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.
    6. Davidson, Carl & Deneckere, Raymond J, 1990. "Excess Capacity and Collusion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 521-541, August.
    7. Colombo, Stefano, 2010. "Product differentiation, price discrimination and collusion," Research in Economics, Elsevier, vol. 64(1), pages 18-27, March.
    8. Jeanine Miklós-Thal, 2011. "Optimal collusion under cost asymmetry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 99-125, January.
    9. Encaoua David & Hollander Abraham, 2007. "First-Degree Discrimination by a Duopoly: Pricing and Quality Choice," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-21, May.
    10. 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.
    11. Pedro Posada & Odd Rune Straume, 2004. "Merger, Partial Collusion and Relocation," Journal of Economics, Springer, vol. 83(3), pages 243-265, December.
    12. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525, September.
    13. Armstrong, Mark, 2006. "Price discrimination," MPRA Paper 4693, University Library of Munich, Germany.
    14. 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.
    15. 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.
    16. Aguirre, Inaki & Espinosa, Maria Paz & Macho-Stadler, Ines, 1998. "Strategic entry deterrence through spatial price discrimination," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 297-314, May.
    17. 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.
    18. Margaret C. Levenstein & Valerie Y. Suslow, 2002. "What Determines Cartel Success?," UMASS Amherst Economics Working Papers 2002-01, University of Massachusetts Amherst, Department of Economics.
    19. Stefano Colombo, 2011. "Discriminatory prices and the prisoner dilemma problem," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 46(2), pages 397-416, April.
    20. Maria Paz Espinosa, 1992. "Delivered Pricing, FOB Pricing, and Collusion in Spatial Markets," RAND Journal of Economics, The RAND Corporation, vol. 23(1), pages 64-85, Spring.
    21. Fershtman, Chaim & Gandal, Neil, 1994. "Disadvantageous semicollusion," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 141-154, June.
    22. Kats, Amoz, 1989. "Spatial oligopoly and price discrimination with downward sloping demand," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 55-68, February.
    23. Toshihiro Matsumura & Noriaki Matsushima, 2005. "Cartel Stability in a Delivered Pricing Oligopoly," Journal of Economics, Springer, vol. 86(3), pages 259-292, December.
    24. 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.
    25. Hackner, Jonas, 1995. "Endogenous product design in an infinitely repeated game," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 277-299.
    26. Tabuchi, Takatoshi, 1999. "Pricing policy in spatial competition," Regional Science and Urban Economics, Elsevier, vol. 29(5), pages 617-631, September.
    27. Greg Shaffer & Z. John Zhang, 2000. "Pay to Switch or Pay to Stay: Preference‐Based Price Discrimination in Markets with Switching Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 9(3), pages 397-424, June.
    28. 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.
    29. Miklós-Thal, Jeanine, 2008. "Delivered pricing and the impact of spatial differentiation on cartel stability," International Journal of Industrial Organization, Elsevier, vol. 26(6), pages 1365-1380, November.
    30. Eber, Nicolas, 1997. "A note on the strategic choice of spatial price discrimination," Economics Letters, Elsevier, vol. 55(3), pages 419-423, September.
    31. Stefano Colombo, 2009. "Firms' symmetry and sustainability of collusion in a Hotelling duopoly," Economics Bulletin, AccessEcon, vol. 29(1), pages 338-346.
    32. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
    33. 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.
    34. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    35. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, September.
    36. Liu, Qihong & Serfes, Konstantinos, 2007. "Market segmentation and collusive behavior," International Journal of Industrial Organization, Elsevier, vol. 25(2), pages 355-378, April.
    37. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
    38. Yuncheol Jeong & Masayoshi Maruyama, 2009. "Commitment to a strategy of uniform pricing in a two-period duopoly with switching costs," Journal of Economics, Springer, vol. 98(1), pages 45-66, September.
    39. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    40. Raphael Thomadsen & Ki-Eun Rhee, 2007. "Costly Collusion in Differentiated Industries," Marketing Science, INFORMS, vol. 26(5), pages 660-665, 09-10.
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    Cited by:

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    2. Giuseppe Mastromatteo, 2011. "The Debate on the Crisis: Recent Reappraisals of the Concept of Functional Finance," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0105, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    3. Sandro Brusco & Luca Colombo & Umberto Galmarini, 2010. "Local Governments Tax Autonomy, Lobbying, and Welfare," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0097, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    4. Konovalov, Alexander, 2014. "Competition and Cooperation in Network Games," Working Papers in Economics 583, University of Gothenburg, Department of Economics.
    5. Giuseppe Mastromatteo, 2011. "H.P. Minsky And Policies To Countervail Crises," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0102, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).

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    More about this item

    Keywords

    pricing policy; partial collusion; price discrimination; D43; L13; L40;
    All these keywords.

    JEL classification:

    • 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
    • L40 - Industrial Organization - - Antitrust Issues and Policies - - - General

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