Bertrand's price competition in markets with fixed costs
AbstractThis paper provides necessary and sufficient conditions for the existence of a pure strategy Bertrand equilibrium in a model of price competition with fixed costs. It unveils an interesting and unexplored relationship between Bertrand competition and natural monopoly. That relationship points out that the non-subadditivity of the cost function at the output level corresponding to the oligopoly break-even price, denoted by D(pL (n)), is sufficient to guarantee that the market supports a (not necessarily symmetric) Bertrand equilibrium in pure strategies with two or more firms supplying at least D(pL (n)). Conversely, the existence of a pure strategy equilibrium ensures that the cost function is not subadditive at every output greater than or equal to D(p(n)).
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Bibliographic InfoPaper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 549.
Length: 29 pages
Date of creation: May 2009
Date of revision:
Contact details of provider:
Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.
Bertrand competition; cost subadditivity; fixed costs; natural monopoly.;
Other versions of this item:
- Alejandro Saporiti & German Coloma, 2008. "Bertrand's price competition in markets with fixed costs," RCER Working Papers, University of Rochester - Center for Economic Research (RCER) 541, University of Rochester - Center for Economic Research (RCER).
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-06-10 (All new papers)
- NEP-BEC-2009-06-10 (Business Economics)
- NEP-COM-2009-06-10 (Industrial Competition)
- NEP-IND-2009-06-10 (Industrial Organization)
- NEP-MIC-2009-06-10 (Microeconomics)
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