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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
Date of revision:
Handle: RePEc:cor:louvco:2005033
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  1. 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).
  2. Paul Romer, 1989. "Endogenous Technological Change," NBER Working Papers 3210, National Bureau of Economic Research, Inc.
  3. Blackorby, Charles, et al, 1970. "Homothetic Separability and Consumer Budgeting," Econometrica, Econometric Society, vol. 38(3), pages 468-72, May.
  4. 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.
  5. 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.
  6. Gali, Jordi, 1995. "Product Diversity, Endogenous Markups and Development Traps," Working Papers 95-09, C.V. Starr Center for Applied Economics, New York University.
  7. 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.
  8. 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.
  9. 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.
  10. repec:bla:restud:v:52:y:1985:i:4:p:529-46 is not listed on IDEAS
  11. 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.
  12. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  13. 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).
  14. 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.
  15. 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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