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The focus of this chapter is the trade-off between margin and volume. The analysis is couched within the context of monopoly price-setting. It is shown how to relate the profit-maximzing price to the elasticity demand. It also defines consumer surplus and shows how it may be calculated.The usefulness of these concepts is illustrated via application to the question of regulating a monopolist and double marginalization. The chapter ends by connecting cost functions to production functions.
This chapter introduces the basic models used to study imperfect competition: Bertrand, Cournot, Stackleberg, and Hotelling. Applications of these models are also described. Integrated into the exposition is an introduction to game theory and the concept of Nash equilibrium.
This chapter begins with a discussion of the rationality assumption in economics and introduces the model of quasi-linear preferences. Subsequently, it is shown how demand can be summarized using demand curves and elasticity of demand. It closes with a discussion of cost curves and returns to scale.
This chapter introduces preference orderings and their representation by utility functions. Also, the consumer choice problem as a utility-maximization problem and its applications. Income and the substitution effect are discussed.
This chapter introduces the model of a Walrasian exchange economy and the concept of Walrasian equilibrium. Its existence and welfare properties are illustrated using an Edgeworth box. Applications of the model to free trade, the effect of automation, and Baumol’s cost disease are described.
The concept of externality is introduced, as well as the various ways of “internalizing” them. Particular emphasis is given to the Coasean approach of contracts and its limitations.The limitations of the Coasean approach are connected to the problem of public good provision. Applications to media and vaccines are given.
This chapter introduces the three degrees of price discrimination as well as a discussion of the attendant arbitrage possibilities. The focus of the chapter is on second-degree price discrimination, which is illustrated withversioning and bundling. There is also an extensive discussion of two-part tariffs with application to the pricing of a system consisting of a consumable and a durable.
Mathematical analysis is key to the modeling and management of natural resources. By presenting required mathematical methods, classic dynamic models for non-renewable and renewable resources, and by exploring several contemporary problems, this text provides a foundation for advanced research. Topics include seminal models in fishery, forestry and non-renewable resource management, as well as an extensive collection of contemporary applications that include the optimal transition from fossil fuels to clean energy, the optimal timing of interventions to save endangered species, pest control and the optimal management of antibiotic resistance. Deterministic and stochastic models in both discrete and continuous time are covered. The book encourages students to pursue a deeper understanding of the analytics of resource problems and to deploy numerical methods when analytical results prove intractable. The combination of analysis, theory and applications will launch the next generation of resource economists, while serving as a useful reference for established researchers.