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General equilibrium models of monopolistic competition: CRRA versus CARA

  • BEHRENS, Kristian
  • MURATA, Yasusada

We analyze a class of "large group" Chamberlinian monopolistic competition models using multiplicatively quasi-separable (MQS) and additively quasi-separable (AQS) functions. We first prove that the MQS and AQS functions are equivalent to the "constant relative risk aversion" (CRRA) and "constant absolute risk aversion" (CARA) classes of functions, respectively. Whereas both approaches allow for closed-form solutions, only the AQS functions yield profit-maximizing prices that decrease in the mass of competing firms. We then characterize the equilibrium in both cases and discuss some possible applications of the AQS framework to trade, growth, and development.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2005033.

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Date of creation: 00 2005
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Handle: RePEc:cor:louvco:2005033
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  1. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  2. Hart, Oliver D, 1985. "Monopolistic Competition in the Spirit of Chamberlin: A General Model," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 529-46, October.
  3. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-66, September.
  4. Paul M Romer, 1999. "Endogenous Technological Change," Levine's Working Paper Archive 2135, David K. Levine.
  5. Kiminori Matsuyama, 1995. "Complementarities and Cumulative Processes in Models of Monopolistic Competition," Journal of Economic Literature, American Economic Association, vol. 33(2), pages 701-729, June.
  6. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & GÉRARD-VARET, L.-A., . "On the Dixit-Stiglitz model of monopolistic competition," CORE Discussion Papers RP -1211, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. OTTAVIANO, Gianmarco & THISSE, Jacques-François, 1999. "Agglomeration and trade revisited," CORE Discussion Papers 1999041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Yang, Xiaokai & Heijdra, Ben J, 1993. "Monopolistic Competition and Optimum Product Diversity: Comment," American Economic Review, American Economic Association, vol. 83(1), pages 295-301, March.
  9. Gali, Jordi, 1995. "Product Diversity, Endogenous Markups and Development Traps," Working Papers 95-09, C.V. Starr Center for Applied Economics, New York University.
  10. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
  11. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
  12. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  13. Dixit, Avinash K & Stiglitz, Joseph E, 1979. "Monopolistic Competition and Optimum Product Diversity: Reply," American Economic Review, American Economic Association, vol. 69(5), pages 961-63, December.
  14. Brakman, Steven & Heijdra, Ben J., 2002. "The monopolistic competition revolution in retrospect," CCSO Working Papers 200215, University of Groningen, CCSO Centre for Economic Research.
  15. Blackorby, Charles, et al, 1970. "Homothetic Separability and Consumer Budgeting," Econometrica, Econometric Society, vol. 38(3), pages 468-72, May.
  16. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-59, December.
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