Calculating Profit in the Two-Firm Cartel Model

Payoff Matrix for the Two-Firm Price-Setting Game (Figure 8.20)

Barriers to Entry

Two firms, Firm 1 and Firm 2, sell an identical product and must simultaneously decide whether to set a high price or a low price. Their potential profits are shown in the matrix below, with Firm 1's profit listed first in each pair.

Why is the outcome where both firms choose a 'High Price' considered a stable equilibrium?

Coffee Shop Coordination

Consider a market with two firms selling an identical product. Their price-setting interaction can be modeled as a game with two stable outcomes: one where both set a high price (leading to high profits for both) and one where both set a low price (leading to low profits for both). If the firms are currently in the high-price outcome, a single firm has a strong incentive to unilaterally lower its price to capture more market share and increase its individual profit.

Analyzing Firm Incentives in Duopoly Markets

Strategic Decision-Making in a Duopoly

In a market with two firms selling an identical product, their simultaneous price-setting decisions can be represented by a game. Match each strategic element or outcome of this game with its correct description.

In a market with two firms selling an identical product, their price-setting interaction can be modeled as a game with two stable outcomes. The outcome where both firms set a high price is considered a __________ because neither firm can improve its own profit by changing its price, assuming the other firm's price remains high.

Two firms, Innovate Inc. and TechCorp, are the only producers of a specialized microchip. They must decide simultaneously whether to set a high price or a low price for their product. The table below shows the daily profits for each firm based on their combined decisions. The first number in each pair is Innovate Inc.'s profit, and the second is TechCorp's profit.

Based on this information, what is the primary strategic challenge these two firms face?

Two companies, AquaPure and HydroFresh, are the only sellers of a premium water filtration system. They must decide whether to price their systems high or low. The matrix below shows their potential weekly profits, with AquaPure's profit listed first in each pair.

In this scenario, an agreement for both firms to set a high price is unstable because each has an incentive to lower its price. Which of the following changes would most effectively transform this situation into one where both firms setting a high price is a stable outcome?

Evaluating Strategic Advice in a Duopoly

Parameters of the Two-Firm Price-Setting Game