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Dynamic Entry in Vertically Differentiated Markets

Author

Listed:
  • Raphael A. Auer
  • Philip Sauré
Abstract
We develop a model of vertical innovation in which firms incur a market entry cost and choose a unique level of quality. Once established, firms compete for market shares, selling to consumers with heterogeneous tastes for quality. The equilibrium of the pricing game exists and is unique within our setup. Exogenous productivity growth induces firms to enter the market sequentially at the top end of the quality spectrum. A central feature of the model is that optimization problems of consecutive entrants are self-similar so that new firms enter in constant time-intervals and choose qualities that are a constant fraction higher than incumbent qualities. The asymmetries of quality choice, which inevitably arise because the quality spectrum has top and a bottom, is thus overcome by sequential entry. Our main contribution lies in handling these asymmetries.

Suggested Citation

  • Raphael A. Auer & Philip Sauré, 2016. "Dynamic Entry in Vertically Differentiated Markets," CESifo Working Paper Series 6130, CESifo.
    • Handle: RePEc:ces:ceswps:_6130
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    1. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders and Product Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 557-586.
    2. Ricardo Biscaia & Isabel Mota, 2013. "Models of spatial competition: A critical review," Papers in Regional Science, Wiley Blackwell, vol. 92(4), pages 851-871, November.
    3. Eric A. Verhoogen, 2008. "Trade, Quality Upgrading, and Wage Inequality in the Mexican Manufacturing Sector," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 489-530.
    4. Neven, Damien J., 1986. "On Hotelling's competition with non-uniform customer distributions," Economics Letters, Elsevier, vol. 21(2), pages 121-126.
    5. Amit Khandelwal, 2010. "The Long and Short (of) Quality Ladders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1450-1476.
    6. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
    7. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    8. Rudolfs Bems & Julian di Giovanni, 2016. "Income-Induced Expenditure Switching," American Economic Review, American Economic Association, vol. 106(12), pages 3898-3931, December.
    9. Reto Foellmi & Josef Zweimuller, 2006. "Income Distribution and Demand-Induced Innovations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 941-960.
    10. Pablo Fajgelbaum & Gene M. Grossman & Elhanan Helpman, 2011. "Income Distribution, Product Quality, and International Trade," Journal of Political Economy, University of Chicago Press, vol. 119(4), pages 721-765.
    11. Ana Aizcorbe & Samuel Kortum, 2005. "Moore's Law and the Semiconductor Industry: A Vintage Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(4), pages 603-630, December.
    12. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    13. Mark Bils & Peter J. Klenow, 2001. "Quantifying Quality Growth," American Economic Review, American Economic Association, vol. 91(4), pages 1006-1030, September.
    14. Evgeny Zhelobodko & Sergey Kokovin & Mathieu Parenti & Jacques‐François Thisse, 2012. "Monopolistic Competition: Beyond the Constant Elasticity of Substitution," Econometrica, Econometric Society, vol. 80(6), pages 2765-2784, November.
    15. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    16. A. Auer, Raphael & Chaney, Thomas & Sauré, Philip, 2018. "Quality pricing-to-market," Journal of International Economics, Elsevier, vol. 110(C), pages 87-102.
    17. Richard Baldwin & James Harrigan, 2011. "Zeros, Quality, and Space: Trade Theory and Trade Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 60-88, May.
    18. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    19. Josef Zweimüller & Johann K. Brunner, 2005. "Innovation And Growth With Rich And Poor Consumers," Metroeconomica, Wiley Blackwell, vol. 56(2), pages 233-262, May.
    20. Capozza, Dennis R & Van Order, Robert, 1980. "Unique Equilibria, Pure Profits, and Efficiency in Location Models," American Economic Review, American Economic Association, vol. 70(5), pages 1046-1053, December.
    21. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    22. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    23. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74(2), pages 132-132.
    24. Pablo D. Fajgelbaum, 2011. "Income Distribution, Product Quality and International Trade," 2011 Meeting Papers 415, Society for Economic Dynamics.
    25. Shaked, Avner & Sutton, John, 1987. "Product Differentiation and Industrial Structure," Journal of Industrial Economics, Wiley Blackwell, vol. 36(2), pages 131-146, December.
    26. Davin Chor & Edwin L.-C. Lai, 2013. "Cumulative Innovation, Growth and Welfare-Improving Patent Policy," CESifo Working Paper Series 4407, CESifo.
    27. Peter K. Schott, 2004. "Across-Product Versus Within-Product Specialization in International Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 647-678.
    28. Lahmandi-Ayed, Rim, 2000. "Natural Oligopolies: A Vertical Differentiation Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(4), pages 971-987, November.
    29. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    30. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    31. Simon P. Anderson & André De Palma & Jacques-François Thisse, 1989. "Demand for Differentiated Products, Discrete Choice Models, and the Characteristics Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 21-35.
    32. Mark Armstrong & Robert Porter (ed.), 2007. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 3, number 1.
    33. Jonathan Vogel, 2008. "Spatial Competition with Heterogeneous Firms," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 423-466, June.
    34. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
    35. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 3-13.
    36. Sutton, John, 2007. "Market Structure: Theory and Evidence," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 35, pages 2301-2368, Elsevier.
    37. Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, February.
    38. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    39. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    40. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    41. Simon P. Anderson & Maxim Engers, 2001. "Preemptive entry in differentiated product markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(2), pages 419-445.
    42. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, April.
    43. Bresnahan, Timothy F, 1987. "Competition and Collusion in the American Automobile Industry: The 1955 Price War," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 457-482, June.
    44. Rim Lahmandi-Ayed, 2004. "Finiteness property in vertically differentiated markets: a note on locally increasing and decreasing returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 371-382, January.
    45. Johnson, Robert C., 2012. "Trade and prices with heterogeneous firms," Journal of International Economics, Elsevier, vol. 86(1), pages 43-56.
    46. Juan Carlos Hallak & Peter K. Schott, 2011. "Estimating Cross-Country Differences in Product Quality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(1), pages 417-474.
    47. Vives, Xavier, 1988. "Sequential entry, industry structure and welfare," European Economic Review, Elsevier, vol. 32(8), pages 1671-1687, October.
    48. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    49. Anderson, Simon P. & Goeree, Jacob K. & Ramer, Roald, 1997. "Location, Location, Location," Journal of Economic Theory, Elsevier, vol. 77(1), pages 102-127, November.
    50. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
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    Citations

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    Cited by:

    1. A. Auer, Raphael & Chaney, Thomas & Sauré, Philip, 2018. "Quality pricing-to-market," Journal of International Economics, Elsevier, vol. 110(C), pages 87-102.
    2. Raphael A. Auer, 2009. "Taste Heterogeneity, Trade, and the Within-Industry Home Market Effect," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 145(IV), pages 387-403, December.
    3. Wang, Rong-Kuan & Hu, Die, 2017. "Time-cost substitutability, earlycutting threat, and innovation timing," Economics Letters, Elsevier, vol. 156(C), pages 88-91.
    4. Raphael Auer, 2009. "Product Heterogeneity, Within-Industry Trade Patterns, and the Home Bias of Consumption?," Working Papers 09.05, Swiss National Bank, Study Center Gerzensee.
    5. Raphael A. Auer, 2013. "Product Heterogeneity, Cross-Country Taste Differences, and the Consumption Home Bias," Working Papers 13.01, Swiss National Bank, Study Center Gerzensee.
    6. Neligh, Nathaniel, 2020. "Vying for dominance: An experiment in dynamic network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 719-739.
    7. Kalina Manova & Zhiwei Zhang, 2012. "Export Prices Across Firms and Destinations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 379-436.

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    More about this item

    Keywords

    vertical differentiation; product quality; non-homogenous preferences; natural monopoly; endogenous growth; quality ladders;
    All these keywords.

    JEL classification:

    • A11 - General Economics and Teaching - - General Economics - - - Role of Economics; Role of Economists
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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