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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 ...
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.
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 ...
In microeconomics, the Bertrand–Edgeworth model of price-setting oligopoly looks at what happens when there is a homogeneous product (i.e. consumers want to buy from the cheapest seller) where there is a limit to the output of firms which are willing and able to sell at a particular price. This differs from the Bertrand competition model ...
In a discrete (i.e. finite state) market, the following hold: [2] The First Fundamental Theorem of Asset Pricing: A discrete market on a discrete probability space (,,) is arbitrage-free if, and only if, there exists at least one risk neutral probability measure that is equivalent to the original probability measure, P.
Contestable markets are characterized by "hit and run" competition; if a firm in a contestable market raises its prices so as to begin to earn excess profits, potential rivals will enter the market, hoping to exploit the high price for easy profit. When the original incumbent firm(s) respond by returning prices to levels consistent with normal ...
Market equilibrium computation (also called competitive equilibrium computation or clearing-prices computation) is a computational problem in the intersection of economics and computer science. The input to this problem is a market , consisting of a set of resources and a set of agents .
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.