| By: |
Alejandro Saporiti (University of Manchester);
German Coloma (Universidad del CEMA) |
| Abstract: |
This 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)). |
| Keywords: |
Bertrand competition, cost subadditivity, fixed costs, natural monopoly. |
| JEL: |
D43 L13 |
| Date: |
2009–05 |
| URL: |
http://d.repec.org/n?u=RePEc:roc:rocher:549&r=ind |