Creating a Cooperative Equilibrium by Increasing Payoffs for Mutual Restriction
One strategy to resolve a social dilemma like climate change is to alter the game's payoffs to make mutual cooperation a stable equilibrium. For instance, in a scenario where one country (e.g., the US) chooses to 'Restrict' emissions, the outcome can be shifted if the other country's (e.g., China's) payoff for also choosing 'Restrict' is increased. This adjustment can make the ('Restrict', 'Restrict') outcome more attractive than the alternative of playing 'Business as Usual' (BAU), potentially establishing it as a new equilibrium.
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Introduction to Microeconomics Course
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Analyzing Policy Impact on Strategic Cooperation
Consider a strategic interaction between two countries, Country A and Country B, regarding emissions policy. Each can choose to 'Restrict' or 'Don't Restrict' emissions. The payoffs, representing economic and environmental outcomes for each country, are shown in the matrix below (Payoff for A, Payoff for B).
Country B Restrict Don't Restrict Country A Restrict (5, 5) (1, 8) Don't Restrict (8, 1) (2, 2) In the initial game, the stable outcome is for both countries to choose 'Don't Restrict'. Which of the following policy-induced changes to the payoffs would successfully make mutual cooperation ('Restrict', 'Restrict') a stable equilibrium?
Incentivizing Sustainable Resource Management
Designing a Policy to Overcome a Commons Dilemma
Consider the strategic interaction between two competing firms, Firm X and Firm Y, deciding whether to adopt a costly, industry-wide pollution-reducing technology. The payoff matrix below represents their profits, with the first number in each pair being the payoff for Firm X and the second for Firm Y.
Firm Y Adopt Don't Adopt Firm X Adopt (10, 10) (1, 12) Don't Adopt (12, 1) (3, 3) A government proposes a subsidy of 4 units to any firm that adopts the technology, regardless of the other firm's choice.
Statement: The proposed subsidy is sufficient to make mutual adoption ('Adopt', 'Adopt') a stable equilibrium.
Consider a scenario where two firms must decide whether to 'Adopt' a costly environmental technology or 'Don't Adopt' it. This situation often results in a dilemma where mutual non-adoption is the stable outcome, even though mutual adoption would be better for society. Match each policy intervention below with its most direct effect on the firms' payoffs, which could help make mutual adoption a stable equilibrium.
Consider a strategic interaction between two countries regarding emissions policy, represented by the payoff matrix below (Payoff for Country 1, Payoff for Country 2).
Country 2 Restrict Don't Restrict Country 1 Restrict (6, 6) (2, 9) Don't Restrict (9, 2) (3, 3) An international agreement proposes giving a subsidy, S, to any country that chooses to 'Restrict', regardless of the other country's choice. To make the outcome ('Restrict', 'Restrict') a stable equilibrium where neither country has an incentive to change its choice, the value of this subsidy S must be greater than ____.
Evaluating Policy Interventions in a Resource Dilemma
Analyzing a Failed International Environmental Agreement
An economist is tasked with designing a policy to resolve a situation where two competing firms are overusing a shared resource, leading to a mutually damaging outcome. The goal is to alter the firms' incentives to make mutual conservation a stable strategy. Arrange the following steps into the correct logical sequence for analyzing and confirming the effectiveness of a proposed policy.
Creating a Cooperative Equilibrium by Increasing Payoffs for Mutual Restriction
Learn After
Two competing firms, Firm A and Firm B, are deciding whether to invest in a new, costly, pollution-reducing technology. The technology benefits both firms by improving public image and avoiding future regulatory fines, but the firm that invests alone bears a higher initial cost. The payoff matrix below shows the profits for each firm based on their decisions, with Firm A's profit listed first in each pair.
Firm B Invest | Don't Invest ---------------------------------- Invest | (10, 10) | (2, 12) ---------------------------------- Don't | (12, 2) | (4, 4) Invest |A government agency wants to offer a subsidy to encourage mutual investment. What is the minimum whole number subsidy that must be given to Firm B for investing (specifically in the scenario where Firm A also invests) to make the ('Invest', 'Invest') outcome a stable equilibrium?
Resolving a Water Usage Dilemma
Evaluating Strategies to Prevent Overfishing
Incentivizing Environmental Cooperation
Consider a scenario with two neighboring regions deciding whether to 'Conserve' a shared water source or 'Overuse' it. Initially, the most rational choice for each region, regardless of what the other does, is to 'Overuse' the water, leading to a poor outcome for both. An external agency intervenes by offering a large reward to a region only if it chooses to 'Conserve' while the other region chooses to 'Overuse'. This intervention is sufficient to make ('Conserve', 'Conserve') a stable outcome where neither region has an incentive to change its strategy.
Two companies share a common resource. Each can either 'Conserve' the resource for long-term sustainability or 'Exploit' it for short-term gain. The initial situation is a dilemma where both companies choosing 'Exploit' is the most likely outcome, leading to the resource's depletion. Match each of the following policy interventions to its most likely effect on the companies' strategic decisions.
Two companies are deciding whether to 'Restrict' pollution or continue with 'Business as Usual' (BAU). Initially, the dominant strategy for each is BAU. To encourage mutual restriction, a regulator adds a bonus to the payoff for each company if, and only if, both choose to 'Restrict'. For this bonus to successfully make ('Restrict', 'Restrict') a stable outcome, the new, higher payoff for restricting must be greater than the original payoff for choosing ____ when the other company chooses 'Restrict'.
Fostering Collaboration in the Tech Industry
Two fishing companies, 'Ocean's Bounty' and 'Sea's Harvest,' share a fishing ground. They can either 'Limit Catch' to ensure long-term sustainability or 'Overfish' for higher short-term profits. The table below shows the weekly profits (in thousands of dollars) for each company based on their combined decisions. The first number in each pair is the profit for Ocean's Bounty.
Sea's Harvest Limit Catch | Overfish ---------------------------------- Limit Catch| (100, 100) | (50, 120) ---------------------------------- Overfish | (120, 50) | (70, 70)A regulator wants to implement a policy that makes it rational for both companies to choose 'Limit Catch', creating a stable outcome where neither company has an incentive to change its choice. Which of the following interventions would achieve this goal?
Evaluating a Regulatory Intervention in a Competitive Market
Incentivizing Environmental Cooperation