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How Historical Precedent Can Lead to a Pareto-Inferior Nash Equilibrium
In games with multiple Nash equilibria, such as the specialization game, there is no certainty that players will coordinate on the Pareto-superior outcome. When players act independently, the final outcome can be influenced by external factors such as historical practices or social conventions. For example, if Bala traditionally grows cassava, Anil's best response is to cultivate rice. This locks them into the (Rice, Cassava) equilibrium. Even though both would earn more in the (Cassava, Rice) equilibrium, neither has a unilateral incentive to switch, illustrating how path dependency can result in a stable, yet Pareto-inferior, outcome.
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Introduction to Microeconomics Course
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CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
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How Historical Precedent Can Lead to a Pareto-Inferior Nash Equilibrium
Technology Adoption Dilemma
Two firms are deciding whether to adopt a new industry-wide software standard ('New') or continue using the old one ('Old'). Their profits are interdependent, as shown in the payoff matrix below. The first number in each cell is the profit for Firm 1, and the second is for Firm 2.
Firm 2: New Firm 2: Old Firm 1: New (5, 5) (1, 1) Firm 1: Old (1, 1) (2, 2) Which outcome represents a Nash equilibrium that is also Pareto-inferior?
Coordination Failure in Technology Adoption
Coordination Failure in Environmental Policy
In a strategic interaction represented as a game, if the players find themselves in a Nash equilibrium where a different, mutually-beneficial outcome exists, it is always rational for any single player to unilaterally change their strategy to achieve that better outcome.
Two companies, Firm A and Firm B, are deciding whether to invest in a 'High' or 'Low' advertising budget. Their profits depend on the other firm's choice, as shown in the payoff matrix below. The first number in each cell is the profit for Firm A, and the second is for Firm B.
Firm B: High Firm B: Low Firm A: High (20, 20) (5, 25) Firm A: Low (25, 5) (8, 8) Match each strategic outcome to its correct game-theoretic description.
Consider a scenario where two firms can either adopt a 'New' technology or stick with an 'Old' one. If both adopt 'New', they each earn $100. If both stick with 'Old', they each earn $50. If one adopts 'New' while the other sticks with 'Old', the 'New' firm earns $20 and the 'Old' firm earns $120. The outcome where both firms stick with 'Old' is a stable ____, as neither firm can benefit by ____ switching its strategy. This outcome is also ____, because an alternative exists where both firms would be better off.
Two adjacent farms are deciding between using their current 'Old' irrigation system or investing in a 'New' shared system. The table below shows the annual profit for each farm (in thousands of dollars) based on their choices. The first number in each pair is Farm 1's profit, and the second is Farm 2's profit.
Farm 2: New Farm 2: Old Farm 1: New (5, 5) (1, 4) Farm 1: Old (4, 1) (3, 3) Assume both farms are currently using the 'Old' system. Arrange the following statements into a logical sequence that explains why the farms might fail to coordinate on the mutually beneficial 'New' system and instead remain with the 'Old' system.
Designing a Coordination Problem
Evaluating a Policy for International Cooperation
Why the Specialization Game is Not an Invisible Hand Game
Why the Specialization Game is Not an Invisible Hand Game
Learn After
Technology Adoption Dilemma
Two neighboring towns, Northwood and Southwood, are deciding on the software platform for their new shared public library system. Historically, both towns have used 'System A' for their independent records, and all local librarians are trained on it. A new platform, 'System B', is now available and is demonstrably more efficient and user-friendly, meaning a switch would ultimately lower costs and improve service for both towns. However, the benefit of a shared system is only realized if both towns use the same platform. If one town switches to System B while the other stays with System A, it would create major data-sharing incompatibilities, resulting in a worse situation for both than if they had both stayed on System A. If both towns, acting independently, decide to stick with the familiar System A to avoid the risk of incompatibility, which statement best analyzes this outcome?
The Challenge of Changing Conventions
The Persistence of Inefficient Standards
Consider a scenario where two firms can either adopt a new, highly efficient industry standard or stick with an older, less efficient one. The greatest benefit for both firms occurs only if they both adopt the new standard. If a long-standing convention is for all firms to use the old standard, a rational firm will unilaterally switch to the new standard as long as it is aware that the new standard is superior for everyone.
Two neighboring farmers, Lin and Jia, must independently decide whether to grow Millet or Sorghum. The market rewards specialization, and their potential earnings are shown in the payoff matrix below, with Lin's payoff listed first in each pair. For generations, it has been the custom in their region for farmers on Lin's plot of land to grow Millet and for farmers on Jia's plot to grow Sorghum.
Payoff Matrix (Lin's Payoff , Jia's Payoff):
Jia: Millet Jia: Sorghum Lin: Millet (1, 1) (3, 3) Lin: Sorghum (5, 5) (1, 1) Based on this information, which of the following statements provides the most accurate analysis of the likely outcome?
Two neighboring countries have historically required driving on the left side of the road. A new study shows that if both countries switched to driving on the right, traffic flow would improve and accident rates would fall, making everyone better off. However, if only one country switches, it would create extreme danger and gridlock at the border, making both countries much worse off than they are now. Analyze this scenario by matching each element of the situation with its corresponding economic description.
The Keyboard Conundrum
The Flawed Intervention
The Railway Gauge Dilemma