IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/2015030.html
   My bibliography  Save this paper

Alliance Formation in a Vertically Differentiated Market

Author

Listed:
  • Gabszewicz, J.J.

    (Université catholique de Louvain, CORE, Belgium)

  • Marini, M.

    (University of Rome La Sapienza)

  • Tarola, O.

    (University of Rome La Sapienza)

Abstract

This paper studies how the possibility for firms to sign collusive agreements (as for instance being part of alliances, cartels and mergers) may affect their quality and price choice in a market with vertically differentiated goods. For this purpose we model the firm decisions as a three-stage game in which, at the first stage, firms can form an alliance via a sequential game of coalition formation and, at the second and third stage, they decide simultaneously their product qualities and prices, respectively. In such a setting we study whether there exist circumstances under which either full or partial collusion can be sustained as a subgame perfect Nash equilibrium of the coalition formation game. Also, we analyse the effects of different coalition structures on equilibrium qualities, prices and profits accruing to firms. It is shown that only intermediate coalition structures arise at the equilibrium, with the bottom quality firm always included. Moreover, all equilibrium price and quality configurations always coincide with that observed in the duopoly case, with only two quality variants on sale.

Suggested Citation

  • 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).
  • Handle: RePEc:cor:louvco:2015030
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2015.html
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, April.
    3. Yves Richelle & Paolo G. Garella, 1999. "Exit, sunk costs and the selection of firms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 643-670.
    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. Scarpa, Carlo, 1998. "Minimum quality standards with more than two firms1," International Journal of Industrial Organization, Elsevier, vol. 16(5), pages 665-676, September.
    6. Wauthy, Xavier, 1996. "Quality Choice in Models of Vertical Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 345-353, September.
    7. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    8. Gabszewicz, Jean J. & Wauthy, Xavier Y., 2002. "Quality underprovision by a monopolist when quality is not costly," Economics Letters, Elsevier, vol. 77(1), pages 65-72, September.
    9. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    10. Danilo Yanich, 2010. "Does Ownership Matter? Localism, Content, and the Federal Communications Commission," Journal of Media Economics, Taylor & Francis Journals, vol. 23(2), pages 51-67.
    11. Mario Pezzino, 2010. "Minimum Quality Standards with More Than Two Firms Under Cournot Competition," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(3), pages 26-45, August.
    12. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    13. George, Lisa, 2007. "What's fit to print: The effect of ownership concentration on product variety in daily newspaper markets," Information Economics and Policy, Elsevier, vol. 19(3-4), pages 285-303, October.
    14. Moldovanu, Benny, 1992. "Coalition-proof nash equilibria and the core in three-player games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 565-581, October.
    15. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9780521171960, September.
    16. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    17. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    18. Martin, Stephen, 1996. "R & D joint ventures and tacit product market collusion," European Journal of Political Economy, Elsevier, vol. 11(4), pages 733-741, April.
    19. Luca Lambertini, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, Verein für Socialpolitik, vol. 1(4), pages 421-442, November.
    20. Acharyya, Rajat, 1998. "Monopoly and product quality: Separating or pooling menu?," Economics Letters, Elsevier, vol. 61(2), pages 187-194, November.
    21. NESTEROV, Yurii & SHIKHMAN, Vladimir, 2015. "Algorithm of price adjustment for market equilibrium," LIDAM Discussion Papers CORE 2015001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Jaskold Gabszewicz, Jean & Shaked, Avner & Sutton, John & Thisse, Jacques-Francois, 1986. "Segmenting the market: The monopolist's optimal product mix," Journal of Economic Theory, Elsevier, vol. 39(2), pages 273-289, August.
    23. Hindriks, Jean & Lamy, Guillaume, 2014. "Back to school, back to segregation?," LIDAM Discussion Papers CORE 2014066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Hindriks, Jean & Nishimura, Yukihiro, 2014. "On the timing of tax and investment in fiscal competition models," LIDAM Discussion Papers CORE 2014065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    25. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    26. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
    27. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    28. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    29. Steven T. Berry & Joel Waldfogel, 2001. "Do Mergers Increase Product Variety? Evidence from Radio Broadcasting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 1009-1025.
    30. Francis Bloch, 2002. "Coalitions and Networks in Industrial Organization," Manchester School, University of Manchester, vol. 70(1), pages 36-55, January.
    31. repec:bla:jindec:v:45:y:1997:i:1:p:101-13 is not listed on IDEAS
    32. Eric Giraud-Héraud & Hakim Hammoudi & Mahdi Mokrane, 2003. "Multiproduct firm behaviour in a differentiated market," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 41-61, February.
    33. Fleurbaey, Marc & Maniquet, François, 2015. "Optimal taxation theory and principles of fairness," LIDAM Discussion Papers CORE 2015005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    34. NESTEROV, Yurii, 2015. "Complexity bounds for primal-dual methods minimizing the model of objective function," LIDAM Discussion Papers CORE 2015003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    35. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2017. "Vertical differentiation and collusion: Pruning or proliferation?," Research in Economics, Elsevier, vol. 71(1), pages 129-139.
    2. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Core existence in vertically differentiated markets," Economics Letters, Elsevier, vol. 149(C), pages 28-32.
    3. 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.
    4. Jean J. Gabszewicz & Marco A. Marini & Ornella Tarola, 2016. "Vertical Differentiation and Collusion: Cannibalization or Proliferation?," Working Papers 2016.15, Fondazione Eni Enrico Mattei.
    5. Jean J. Gabszewicz & Marco A. Marini & Ornella Tarola, 2016. "Vertical Differentiation and Collusion: Cannibalization or Proliferation?," Working Papers 2016.15, Fondazione Eni Enrico Mattei.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2015. "Endogenous Mergers in Vertically Differentiated Markets," MPRA Paper 68318, University Library of Munich, Germany.
    2. 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.
    3. 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.
    4. Godin, M. & Hindriks, J., 2015. "A Review of Critical Issues on Tax Design and Tax Administration in a Global Economy and Developing Countries," LIDAM Discussion Papers CORE 2015028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Mouchart, M. & Wunsch, G. & Russo, F., 2015. "The issue of control in multivariate systems, A contribution of structural modelling," LIDAM Discussion Papers ISBA 2015019, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    6. Balandraud, Eric & Queyranne, Maurice & Tardella, Fabio, 2015. "Largest minimally inversion-complete and pair-complete sets of permutations," LIDAM Discussion Papers CORE 2015009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Mouchart, M. & Wunsch, G. & Russo, F., 2015. "The issue of control in multivariate systems A contribution of structural modelling," LIDAM Discussion Papers CORE 2015029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
    9. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    10. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    11. Marco A. Marini, 2007. "An Overview of Coalitions and Networks Formation Models for Economic Applications," Working Papers 0707, CREI Università degli Studi Roma Tre, revised 2007.
    12. Dufays, A. & Rombouts, V., 2015. "Sparse Change-Point Time Series Models," LIDAM Discussion Papers CORE 2015032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    14. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    15. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    16. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
    17. Carraro, Carlo & Buchner, Barbara, 2005. "Regional and Sub-Global Climate Blocs. A Game-Theoretic Perspective on Bottom-up Climate Regimes," CEPR Discussion Papers 5034, C.E.P.R. Discussion Papers.
    18. Nicholas Economides & Andrzej Skrzypacz, 2004. "Standards Coalitions Formation and Market Structure in Network Industries," Microeconomics 0407008, University Library of Munich, Germany.
    19. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    20. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2005. "Advances in negotiation theory : bargaining, coalitions, and fairness," Policy Research Working Paper Series 3642, The World Bank.

    More about this item

    Keywords

    Vertically differentiated market; endogenous alliance formation; coalition structures; price collusion; grand coalition; coalition stability; sequential games of coalition formation;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2015030. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.