Imperfect competition à la Negishi, also with fixed costs

Dehez, Pierre;Dreze, Jacques;Suzuki, Takashi
(2003) Journal of Mathematical Economics — Vol. 39, n° 3, p. 219-237 (2003)

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Authors
  • Dehez, PierreUCLouvain
    Author
  • Dreze, JacquesUCLouvain
    Author
  • Suzuki, Takashi
    Author
Abstract
The paper studies equilibria for economies with imperfect competition and non-convex technologies. Following Negishi, firms maximise profits under downward-sloping perceived demand functions. Negishi's assumptions, in particular the assumption of a single monopolistic competitor in each market, are relaxed. Existence of equilibria is obtained, under otherwise standard assumptions, for productions sets defined in each firm by the union of a convex technology and a technology subject to fixed costs. In the light of a counterexample, it is assumed that fixed factors are distinct from variable factors. Technically, the proof rests on pricing rules.
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Dehez, P., Dreze, J., & Suzuki, T. (2003). Imperfect competition à la Negishi, also with fixed costs. Journal of Mathematical Economics, 39(3), 219-237. https://doi.org/10.1016/S0304-4068(03)00040-5 (Original work published 2003)