Academia.eduAcademia.edu

Outline

Alliance Formation in a Vertically Differentiated Market

2015

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 a...

References (61)

  1. Accharya, R. (1998). "Monopoly and Product Quality: Separating or Pooling Menu?", Eco- nomics Letters, 61, 187-194.
  2. Belle ‡amme, P., (2000). "Stable Coalition Structures with Open Membership and Asymmetric Firms", Games and Economic Behavior, 30, 1-21.
  3. Bloch, F. (1995). "Endogenous Structures of Associations in Oligopolies", Rand Journal of Economics, 26, 537-556.
  4. Bloch, F. (1996). "Sequential Formation of Coalitions with Fixed Payo¤ Division", Games and Economic Behaviour, 14, 90-123.
  5. Bloch, F. (2002). "Coalition and Networks in Industrial Organization", The Manchester School, 70, 36-55.
  6. Bloch, F. (2003). "Coalition Formation in Games with Spillovers" in: Carraro C. (eds.) The endogenous formation of economic coalitions, Fondazione Eni Enrico Mattei Series on Eco- nomics and the Environment, Cheltenham, U.K. and Northampton, Mass., Elgar.
  7. Caplow, T. (1956). "A Theory of Coalitions in the Triad", American Sociological Review, 21, 489-493.
  8. Caplow, T. (1959). "A Theory of Coalitions in the Triad", American Sociological Review, 64, 488-493.
  9. Caplow, T. (1968). Two Against One: Coalitions in Triads, Prentice-Hall, Englewood Cli¤, NJ.
  10. Chatterjee K. B., B. Dutta, D. Ray, K. Sengupta (1993). "A Noncooperative Theory of Coalitional Bargaining", Review of Economic Studies, 60, 463-477.
  11. Currarini, S., M. A., Marini, (2014) "Coalitional Approaches to Collusive Agreements in Oligopoly Games", The Manchester School, forthcoming.
  12. Ecchia, G. and L. Lambertini (1997). "Minimum Quality Standards and Collusion," Journal of Industrial Economics, 45, 1, 101-13.
  13. Gabszewicz, J. J., A. Shaked, J. Sutton, J-F. Thisse, (1986). "Segmenting the Market: the Monopolist's Optimal Product Mix" Journal of Economic Theory, 39, 2, 273-289.
  14. Gabszewicz, J. J., X. Y.,Wauthy (2002). "Quality Underprovision by a Monopolist when Quality is not Costly" Economics Letters, 77, 1, 65-72.
  15. Gamson, W. A. (1961). "A Theory of Coalitions in the Triad", American Sociological Review, 21, 489-493.
  16. Garella, P. G. and Y. Richelle (1999). "Exit, Sunk Costs and the Selection of Firms", Economic Theory, 13, 643-670.
  17. George, L. (2007). "What's …t to print: the e¤ect of ownership concentration on product variety in daily newspapers markets", Information Economics and Policy, 19, 285-303.
  18. Giraud-Heraud, E., H. Hammoudi, M. Mokrane, (2003), "Multiproduct Firm Behaviour in a Di¤erentiated Market", Canadian Journal of Economics, 36, 1, 41-61.
  19. Hackner, J. (1994). "Collusive pricing in markets for vertically di¤erentiated products," Inter- national Journal of Industrial Organization, 12, 2, 155-177.
  20. Lambertini, L. (2000). "Technology and Cartel Stability under Vertical Di¤erentiation", Ger- man Economic Review, 1, 4, 421-444.
  21. Lambertini, L., S. Poddar and D. Sasakic (2002). "Research joint ventures, product di¤eren- tiation, and price collusion", International Journal of Industrial Organization 20, 829-854.
  22. Johnson, J. P. and D., Myatt (2003), "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning", American Economic Review, 93, 3, 748-774.
  23. Marini, M. A. (2009) "Games of Coalition & Network Formation: a Survey", in Naizmada A.K. et al. (eds.). Networks, Topology and Dynamics. Lectures Notes in Economics & Mathematical Systems, 613, 67-93, Berlin Heidelberg, Springer-Verlag.
  24. Martin, S., (1995). "R&D Joint ventures and tacit product market collusion", European Jour- nal of Political Economy, 11, 733-741.
  25. Mesterton-Gibbons, M., , S. Gavriletz, G. Janko, E. Akcay, (2011), "Models of Coalition or Alliance Formation", Journal of Theretical Biology, 274, 187-204.
  26. Mc Millan, M., (2012). "Quality collusion: news, if it ain't broke, why …x it?", Fordham Urban Law Journal, 39, 5, 1895-1942.
  27. Motta, M., (1992). "Cooperative R&D and vertical product di¤erentiation", International Journal of Industrial Organization 10, 643-661.
  28. Moldovanu, B. (1992). "Coalition-Proof Nash Equilibrium and the Core in Three-Player Games", Games and Economic Behavior, 9, 21-34.
  29. Mussa, M. and S. Rosen (1978). "Monopoly and product quality", Journal of Economic Theory, 18, 301-317.
  30. Pezzino, M. (2010). "Minimum Quality Standards with More Than Two Firms Under Cournot Competition.", The IUP Journal of Managerial Economics, 8, 3, 26-45.
  31. Ray, D. and R. Vohra (1999). "A Theory of Endogenous Coalition Structures", Games and Economic Behavior, 26, 2, 286-336.
  32. Rubinstein, Ariel (1982). "Perfect Equilibrium in a Bargaining Model". Econometrica, 50, 1, 97-109.
  33. Scarpa, C. (1998). "Minimum quality standards with more than two …rms," International Journal of Industrial Organization, 16, 5, 665-676.
  34. Selten, R. (1981). "A Non-cooperative Model of Characteristic Function Bargaining", in Essays in game Theory and Mathematical Economics in honor of O. Morgenstern. (V. Bohm and H. Nachcamp, Eds.). Mannheim: Bibliographisches Institute.
  35. Steven T. B., J.Waldfogel, (2001). "Do Mergers Increase Product Variety? Evidence from Radio Broadcasting", Quarterly Journal of Economics, 116, 3, 1009-1025.
  36. Sweeting, A. (2010). "The e¤ects of mergers on product positioning: evidence from the music radio industry", Rand Journal of Economics, 41(2), 372-397.
  37. Vinacke, V. E. and A. Arko¤ (1957). "An Experimental Study of Coalitions in the Triad", American Sociological Review, 22, 406-414.
  38. Wauthy, X. (1996). "Quality Choice in Models of Vertical Di¤erentiation", Journal of Indus- trial Economics, 44, 3, 345-53.
  39. Yanich, D. (2013), "Local TV News, Content, and the Bottom Line", Journal of Urban A¤ airs, 35, 3, 327-342.
  40. Yanich, D. (2010), "Does Ownership Matter? Localism, Content, and the Federal Communi- cations Commission", Journal of Media Economics, 23, 51-67.
  41. Yanich, D. (2011), "Local TV News & Service Agreements: A Critical Look", Report, Center for Community Research & Service School of Public Policy & Administration, University of Delaware.
  42. Yi, S.-S. (1997). "Stable Coalition Structure with Externalities", Games and Economic Be- haviour, 20: 201-237.
  43. Yi, S. S., (2003). "The Endogenous Formation of Economic Coalitions: The Partition Func- tion Approach" in C. Carraro (ed.) The endogenous formation of economic coalitions, Fon- dazione Eni Enrico Mattei Series on Economics and the Environment, Cheltenham, U.K. and Northampton, Mass.: Elgar. Recent titles CORE Discussion Papers 2014/65 Jean HINDRIKS and Yukihiro NISHIMURA. On the timing of tax and investment in fiscal competition models. 2014/66 Jean HINDRIKS and Guillaume LAMY. Back to school, back to segregation? 2014/67 François MANIQUET et Dirk NEUMANN. Echelles d'équivalence du temps de travail: évaluation de l'impôt sur le revenu en Belgique à la lumière de l'éthique de la responsabilité. 2015/01 Yurii NESTEROV and Vladimir SHIKHMAN. Algorithm of Price Adjustment for Market Equilibrium. 2015/02 Claude d'ASPREMONT and Rodolphe DOS SANTOS FERREIRA. Oligopolistic vs. monopolistic competition: Do intersectoral effects matter? 2015/03 Yuuri NESTEROV. Complexity bounds for primal-dual methods minimizing the model of objective function. 2015/04 Hassène AISSI, A. Ridha MAHJOUB, S. Thomas MCCORMICK and Maurice QUEYRANNE. Strongly polynomial bounds for multiobjective and parametric global minimum cuts in graphs and hypergraphs. 2015/05 Marc FLEURBAEY and François MANIQUET. Optimal taxation theory and principles of fairness. 2015/06 Arnaud VANDAELE, Nicolas GILLIS, François GLINEUR and Daniel TUYTTENS. Heuristics for exact nonnegative matrix factorization. 2015/07 Luc BAUWENS, Jean-François CARPANTIER and Arnaud DUFAYS. Autoregressive moving average infinite hidden Markov-switching models. 2015/08 Koen DECANCQ, Marc FLEURBAEY and François MANIQUET. Multidimensional poverty measurement with individual preferences 2015/09 Eric BALANDRAUD, Maurice QUEYRANNE, and Fabio TARDELLA. Largest minimally inversion-complete and pair-complete sets of permutations. 2015/10 Maurice QUEYRANNE and Fabio TARDELLA. Carathéodory, helly and radon numbers for sublattice convexities. 2015/11
  44. Takatoshi TABUSHI, Jacques-François THISSE and Xiwei ZHU. Does technological progress affect the location of economic activity. 2015/12 Mathieu PARENTI, Philip USHCHEV, Jacques-François THISSE. Toward a theory of monopolistic competition. 2015/13 A.B. TAYLOR, J.M. HENDRICKX and F. GLINEUR. Smooth strongly convex interpolation and exact worst-case performance of first-order methods. 2015/14
  45. Christian HAFNER, Hans MANNER and Léopold SIMAR. The "wrong skewness" problem in stochastic frontier models: A new approach. 2015/15 Paul BELLEFLAMME, Nesssrine OMRANI Martin PEITZ. The Economics of Crowdfunding Platforms. 2015/16 Samuel FEREY and Pierre DEHEZ. Multiple Causation, Apportionment and the Shapley Value. 2015/17 Mehdi MADANI and Mathieu VAN VYVE. A MIP Framework for Non-convex Uniform Price Day-ahead Electricity Auctions. 2015/18 Yukihiro NISHIMURA and Pierre PESTIEAU. Efficient Taxation with Differential Risks of Dependence and Mortality. 2015/19
  46. Louis N. CHRISTOFIDES, Michael HOY, Joniada MILLA and Thanasis STENGOS. Nature or Nurture in Higher Education? Inter-generational Implications of the Vietnam-Era Lottery. Recent titles CORE Discussion Papers -continued 2015/20
  47. Philippe J. DESCHAMPS, Alternative Formulations of the Leverage Effect in a Stochatic Volatility Model with Asymmetric Heavy-Tailed Errors. 2015/21 Jean HINDRIKS and Yukihiro NISHIMURA. Equilibrium Leadership in Tax Competition Models with Capital Ownership: A Rejoinder. 2015/22 Frédéric VRINS and Monique JEANBLANC. The Φ-Martingale.
  48. 2015/23 Wing Man Wynne LAM. Attack-Dettering and Damage Control Investments in Cybersecurity. 2015/24 Wing Man Wynne LAM. Switching Costs in Two-sided Markets. 2015/25
  49. Philippe DE DONDER, Marie-Louise LEROUX. The political choice of social long term care transfers when family gives time and money. 2015/26 Pierre PESTIEAU and Gregory PONTHIERE. Long-Term Care and Births Timing. 2015/27 Pierre PESTIEAU and Gregory PONTHIERE. Longevitiy Variaations and the Welfare State. 2015/28 Mattéo GODIN and Jean HINDRIKS. A Review of Critical Issues on Tax Design and Tax Administration in a Global Economy and Developing Countries 2015/29 Michel MOUCHART, Guillaume WUNSCH and Federica RUSSO. The issue of control in multivariate systems, A contribution of structural modelling. 2015/30
  50. Jean J. GABSZEWICZ, Marco A. MARINI and Ornella TAROLA. Alliance Formation in a Vertically Differentiated Market.
  51. Books W. GAERTNER and E. SCHOKKAERT (2012), Empirical Social Choice. Cambridge University Press.
  52. L. BAUWENS, Ch. HAFNER and S. LAURENT (2012), Handbook of Volatility Models and their Applications. Wiley.
  53. J-C. PRAGER and J. THISSE (2012), Economic Geography and the Unequal Development of Regions. Routledge.
  54. M. FLEURBAEY and F. MANIQUET (2012), Equality of Opportunity: The Economics of Responsibility. World Scientific.
  55. J. HINDRIKS (2012), Gestion publique. De Boeck.
  56. M. FUJITA and J.F. THISSE (2013), Economics of Agglomeration: Cities, Industrial Location, and Globalization. (2 nd edition). Cambridge University Press.
  57. J. HINDRIKS and G.D. MYLES (2013). Intermediate Public Economics. (2 nd edition). MIT Press.
  58. J. HINDRIKS, G.D. MYLES and N. HASHIMZADE (2013). Solutions Manual to Accompany Intermediate Public Economics. (2 nd edition). MIT Press.
  59. J. HINDRIKS (2015). Quel avenir pour nos pensions ? Les grands défis de la réforme des pensions. De Boeck. CORE Lecture Series R. AMIR (2002), Supermodularity and Complementarity in Economics.
  60. R. WEISMANTEL (2006), Lectures on Mixed Nonlinear Programming.
  61. A. SHAPIRO (2010), Stochastic Programming: Modeling and Theory.