General equilibrium models of monopolistic competition: CRRA versus CARA∗

نویسندگان

  • Kristian Behrens
  • Yasusada Murata
  • Tomoya Mori
  • Takumi Naito
چکیده

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 closedform solutions, only the AQS functions yield profit-maximizing prices that decrease in the mass of competing firms. We then characterize the equilibrium mass of firms in both cases.

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تاریخ انتشار 2005