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Therefore, the sole equilibrium in the Bertrand model emerges when both firms establish a price equal to unit cost, known as the competitive price. [9] It is to highlight that the Bertrand equilibrium is a weak Nash-equilibrium. The firms lose nothing by deviating from the competitive price: it is an equilibrium simply because each firm can ...
Bertrand's result is paradoxical because if the number of firms goes from one to two, the price decreases from the monopoly price to the competitive price and stays at the same level as the number of firms increases further. This is not very realistic, as in reality, markets featuring a small number of firms with market power typically charge a ...
The Bertrand equilibrium is the same as the competitive result. [ 53 ] [ clarification needed ] Each firm produces where P = MC {\displaystyle P={\text{MC}}} , resulting in zero profits. [ 49 ] A generalization of the Bertrand model is the Bertrand–Edgeworth model , which allows for capacity constraints and a more general cost function.
The Bertrand–Nash equilibrium of this model is to have all (or at least two) firms setting the price equal to marginal cost. The argument is simple: if one firm sets a price above marginal cost then another firm can undercut it by a small amount (often called epsilon undercutting , where epsilon represents an arbitrarily small amount) thus ...
As a solution to the Bertrand paradox in economics, it has been suggested that each firm produces a somewhat differentiated product, and consequently faces a demand curve that is downward-sloping for all levels of the firm's price.
This tends to be the case if there are sufficiently strong aggregate increasing returns to scale and/or the demand curves for the firms' products have a sufficiently low own-price elasticity. On the other hand, the production decisions are strategic substitutes if an increase in one firm's output decreases the marginal revenues of the others ...
[example needed] The more contestable a market is, the closer it will be to a perfectly contestable market. Some economists argue that determining price and output is actually dependent not on the type of market structure (whether it is a monopoly or perfectly competitive market) but on the threat of competition. [2]
Unlike the Bertrand paradox, the situation of both companies charging zero-profit prices is not an equilibrium, since either company can raise its price and generate profits. Nor is the situation where one company charges less than the other an equilibrium, since the lower price company can profitably raise its price towards the higher price ...