The Three-Firm Price-Setting Game as a Prisoners' Dilemma
The price-setting game involving three firms, as detailed in Figure 8.21, exemplifies a prisoners' dilemma. While all firms would achieve a better outcome with a cartel agreement to set high prices, the arrangement is unsustainable. The payoff matrix reveals that each firm has a dominant incentive to defect. For example, if Firms B and C maintain a high price, Firm A can boost its profit from $60 to $72 by lowering its price. This action would force the other firms to lower their prices as well, leading to the cartel's collapse.
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Ch.8 Supply and demand: Markets with many buyers and sellers - The Economy 2.0 Microeconomics @ CORE Econ
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Two competing farms, Green Acre and Sun Field, must simultaneously decide whether to use an expensive, environmentally-friendly pesticide ('Eco-Pest') or a cheap, standard pesticide ('Standard-Pest'). Using 'Eco-Pest' benefits both farms by preserving soil quality for the future, but it is costly. The payoff matrix below shows the profits for each farm based on their choices, with Green Acre's profit listed first.
Sun Field: Eco-Pest Sun Field: Standard-Pest Green Acre: Eco-Pest ($10k, $10k) ($2k, $12k) Green Acre: Standard-Pest ($12k, $2k) ($5k, $5k) Based on an analysis of the payoffs, which statement most accurately describes this strategic situation?
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In a classic, one-shot prisoners' dilemma scenario, if one player is certain that the other player will choose the 'cooperative' strategy, the first player's best response to maximize their own individual payoff is to also cooperate.
The Instability of Cooperation
Two competing coffee shops, 'The Daily Grind' and 'Bean Scene', are deciding whether to set a 'High Price' or a 'Low Price' for their lattes. They make their decisions simultaneously. The payoff matrix below shows the daily profits for each shop based on their choices, with The Daily Grind's profit listed first.
Bean Scene: High Price Bean Scene: Low Price The Daily Grind: High Price ($500, $500) ($100, $700) The Daily Grind: Low Price ($700, $100) ($200, $200) Match each strategic outcome with its correct description based on the principles of game theory.
Designing a Social Dilemma
The Logic of Mutual Defection
In a classic prisoners' dilemma, the paradox is that when each player rationally chooses their dominant strategy, the resulting outcome is __________ for both players compared to the outcome they could have achieved through cooperation.
You are the manager of Company A. You and your competitor, Company B, must simultaneously decide whether to launch a 'High Budget' or 'Low Budget' advertising campaign. The payoff matrix below shows the profits for each company based on the choices made (Your profit, Competitor's profit).
Company B: Low Budget Company B: High Budget Company A: Low Budget ($10M, $10M) ($2M, $15M) Company A: High Budget ($15M, $2M) ($5M, $5M) Arrange the following steps in the logical order a rational, self-interested manager would follow to determine their best strategy.
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Why the Cooperative Outcome Is Unstable in a Prisoners' Dilemma
Role of Agreements in Overcoming Pareto Inefficient Outcomes
Figure 4.5: Prisoners' Dilemma Payoff Matrix (Years in Prison)
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The Three-Firm Price-Setting Game as a Prisoners' Dilemma
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Consider a market where a small number of firms have been able to maintain high prices by implicitly agreeing not to undercut each other. If several new firms enter this market, why does this situation often destabilize, leading to widespread price cuts?
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Consider a market where a few firms have successfully maintained high prices through a cooperative agreement. If several new firms enter this market, the cooperative agreement is likely to fail. This failure occurs primarily because the new entrants are typically more aggressive and willing to set lower prices to gain market share.
The Stability of Cooperative Pricing
Initially, two firms are the only competitors in a market. They can each choose to set a high price or a low price. If both set a high price, they each earn a substantial profit. If one sets a low price while the other sets a high price, the low-pricing firm captures most of the market and earns a very large profit, while the high-pricing firm earns very little. If both set a low price, they both earn a small profit. Now, imagine several new firms enter this market. How does the entry of these new competitors most likely alter the strategic decision-making for the original firms?
Initially, two firms in a market can each choose to set a 'High Price' or a 'Low Price'. If both set a High Price, they successfully coordinate and each earns $50 million. If both set a Low Price, they compete and each earns $10 million. If one sets a Low Price while the other sets a High Price, the low-pricer earns $60 million and the high-pricer earns only $5 million. Now, several new competitors enter the market. This new entry changes the potential profits for the original two firms. Which of the following new payoff structures best illustrates why the original firms would now abandon their high-price strategy and cut prices?
Two large firms, Firm A and Firm B, have been the only sellers in a market, successfully maintaining high prices through an unspoken agreement. A third firm, Firm C, is now entering the market. Which of the following statements provides the most accurate economic explanation for why the entry of Firm C makes it much more likely that the high-price agreement between Firm A and Firm B will collapse?
Incentive Shift in a Cartel
A market initially has only two firms that successfully cooperate to keep prices high. After several new firms enter, the market dynamics change. Match each term to the description that best fits its role in this transformation.
The Three-Firm Price-Setting Game as a Prisoners' Dilemma
Learn After
Three competing firms agree to form a cartel and set a high price for their product. If all three firms adhere to the agreement, each will earn a profit of $60 million. However, if one firm defects by setting a lower price while the other two maintain the high price, the defecting firm will earn $72 million, and the other two firms will each earn only $45 million. If all three firms decide to set a low price, each will earn $55 million. From Firm A's perspective, assuming it believes that Firms B and C will stick to the high-price agreement, what is the most profitable immediate action for Firm A to take?
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Strategic Pricing Decision for a Cartel Member
Predicting the Outcome of a Three-Firm Pricing Game
Consider a scenario with three firms where: (1) if all firms set a high price, each earns $60 million; (2) if all firms set a low price, each earns $55 million; and (3) if one firm sets a low price while the other two set a high price, the low-price firm earns $72 million and the high-price firms each earn $45 million.
Statement: The most profitable outcome for the group of three firms combined is achieved when each firm independently pursues its own most profitable immediate strategy.
Consider a market with three firms: Firm A, Firm B, and Firm C. They are deciding whether to set a high price or a low price. The profits for each firm depend on the choices made by all three. Match each scenario with the correct profit outcome for Firm A.
Consider a market with three firms where the following profit outcomes are possible: if all firms set a high price, each earns $60 million; if one firm sets a low price while the other two set a high price, the low-price firm earns $72 million; and if all firms set a low price, each earns $55 million. Given that each firm has a dominant incentive to lower its price regardless of the other firms' actions, the stable outcome is that each firm will earn a profit of $______ million.
Imagine three firms have formed a cartel, agreeing to set a high price, which earns each of them $60 million in profit. However, if one firm secretly lowers its price, it can earn $72 million, while the others' profits fall to $45 million. If all firms end up setting a low price, they each earn $55 million. Arrange the following events in the logical order that describes how this cartel agreement is likely to break down.
Evaluating a CEO's Strategic Claim
Critique of a Cartel Agreement's Viability