Massimo A. De Francesco

Bertrand-Edgeworth Competition in an Almost Symmetric Oligopoly:

We analyze a Bertrand-Edgeworth game in a homogeneous product industry, under efficient rationing and constant (and identical across firms) marginal cost until full capacity utilization. We solve for the unique equilibrium in a subset of the no pure strategy equilibrium region of the capacity space in which differences in individual capacities are sufficiently small.

A dynamic entry and price game with capacity indivisibility

Strategic market interaction is here modelled as a two‐stage game in which potential entrants choose capacities and next active firms compete in prices. Due to capital indivisibility, the capacity choice is made from a finite grid and there are economies of scale. In the simplest version of the model with a single production technique, the equilibrium turns out to depend on the ratio between the level of total output at the long‐run competitive equilibrium and the firms minimum efficient scale: if that ratio is sufficiently large (the market is sufficiently ‘large’), then the competitive price emerges at a subgame‐perfect equilibrium of the capacity and price game; if not, then the firms randomize in prices on the equilibrium path. The role of the market size for the competitive outcome is shown to be even more important if there are several available production techniques.

A DYNAMIC ENTRY AND PRICE GAME WITH CAPACITY INDIVISIBILITY

Strategic market interaction is here modelled as a two‐stage game in which potential entrants choose capacities and next active firms compete in prices. Due to capital indivisibility, the capacity choice is made from a finite grid and there are economies of scale. In the simplest version of the model with a single production technique, the equilibrium turns out to depend on the ratio between the level of total output at the long‐run competitive equilibrium and the firms minimum efficient scale: if that ratio is sufficiently large (the market is sufficiently ‘large’), then the competitive price emerges at a subgame‐perfect equilibrium of the capacity and price game; if not, then the firms randomize in prices on the equilibrium path. The role of the market size for the competitive outcome is shown to be even more important if there are several available production techniques.

Oligopoli simmetrici e oligoli asimmetrici

In this work we are concerned with static price games played by a given number of capacity- constrained firms producing a homogeneous commodity. The focus is mainly on capacity configurations in which either all firms are equal or all are so except a larger one and such that no pure strategy equilibrium exists. We show that in the former case the symmetrical solution is the unique equilibrium whereas in the latter a number of asymmetrical equilibria may also exist.