Optimal Abatement Strategies: Cost and Damage Analysis

This lecture discusses the framework of marginal abatement cost and marginal damage, emphasizing the importance of understanding these concepts. The instructor presents a damage function that illustrates how damage increases with emissions, represented in a quadratic form. The initial level of emissions is set at 10, and the marginal cost of abatement is defined. The lecture guides the audience through calculating the optimal level of abatement, denoted as delta star, and compares the damage and costs associated with different levels of abatement. The instructor explains the process of deriving the gains from abatement and the conditions for optimality. Various scenarios are analyzed, including no abatement and full abatement, highlighting the costs and damages in each case. The lecture concludes by demonstrating that the optimal abatement level minimizes the sum of damage and cost, providing insights into the economic implications of abatement strategies.