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Parameters of the Two-Firm Price-Setting Game
A game theory model can be used to analyze a market with two firms (A and B) that sell an identical product. The production cost is $1 per unit. Market demand varies with price: if both firms set a high price of $4, total sales are 60 units, split evenly. If both set a low price of $2, total sales increase to 72 units, also split evenly.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.8 Supply and demand: Markets with many buyers and sellers - The Economy 2.0 Microeconomics @ CORE Econ
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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.
Firm 2: High Price Firm 2: Low Price Firm 1: High Price ($100, $100) ($0, $0) Firm 1: Low Price ($0, $0) ($50, $50) Why is the outcome where both firms choose a 'High Price' considered a stable equilibrium?
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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.
TechCorp: High Price TechCorp: Low Price Innovate Inc.: High Price ($200,000, $200,000) ($0, $0) Innovate Inc.: Low Price ($0, $0) ($80,000, $80,000) 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.
HydroFresh: High Price HydroFresh: Low Price AquaPure: High Price ($50,000, $50,000) ($10,000, $70,000) AquaPure: Low Price ($70,000, $10,000) ($25,000, $25,000) 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?
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Parameters of the Two-Firm Price-Setting Game