Our book contains over 80 major examples as well as numerous in-text examples.

## Chapter 1

- Example 1: The Ramsey Problem
- Example 2: Endogenous Uncertain Lifetimes
- Example 3: The Rawls Maximin Utility Function
- Example 4: Majumdar's Example
- Example 5: The Cake-Eating Problem
- Example 6: A convex model of endogenous growth
- Example 7: Human capital and endogenous growth

## Chapter 2

- Example 1: Equivalent metrics
- Example 2:
*l*spaces^{p} - Example 3: The product topology on
*s*^{m} - Example 4: Non-compact order interval
- Example 5: [0,1] is connected
- Example 6: Normed spaces
- Example 7: Convergence in
*s*^{m} - Example 8: The dual of
*l*^{1}is*l*^{∞} - Example 9: The dual of
*c*_{0}is*l*^{1} - Example 10: The dual of
*s*is^{m}*c*_{00} - Example 11: α-norm on
*l*^{∞}(β) - Example 12: Banach limits
- Example 13:
*L*duality trickery^{∞}

## Chapter 3

- Example 1: Continuity and TAS preferences
- Example 2: The maximin criterion
- Example 3: The overtaking criterion and the golden rule
- Example 4: Cake-eating and utility values
- Example 5: Long-run average criteria and Banach limits
- Example 6: Admissibility
- Example 7: The TAS extension problem
- Example 8: Banach limit utility and myopia
- Example 9: The KDW aggregator
- Example 10: “Partial sums”
- Example 11: Overtaking and recursive utility

## Chapter 4

- Example 1: Existence of an optimal maximin program
- Example 2: Upcounting
- Example 3: Nonclassical models
- Example 4: Weak maximality and the cake-eating problem
- Example 5: Long-run average optimal paths
- Example 6: The von Neumann model With fixed labor supply
- Example 7: The neoclassical multisector model
- Example 8: The Ramsey model
- Example 9: Nonconvex Ramsey model
- Example 10: A convex endogenous growth model
- Example 11: A human capital model
- Example 12: Von Neumann models
- Example 13: EH utility with constant returns to scale
- Example 14: KDW utility with constant returns to scale
- Example 15: An asset pricing example
- Example 16: Extended utilitarianism and arbitrages
- Example 17: Stationary differentiable one-sector model
- Example 18: Reduced-form models
- Example 19: Neoclassical two-sector model

## Chapter 5

- Example 1: Is f(0) = 0 important?
- Example 2: Positive marginal products and regularity
- Example 3: Uzawa-Epstein-Hynes utility
- Example 4: KDW utility
- Example 5: Decreasing rate of impatience
- Example 6: Linear technology
- Example 7: Homogeneous TAS felicity
- Example 8: Dolmas model
- Example 9: Convex endogenous growth
- Example 10: δ-normality in the one-sector TAS model
- Example 11: Golden rules in two-sector neoclassical models
- Example 12: Symmetric cross terms
- Example 13: Sutherland's optimal cycles
- Example 14: Weitzman's interior cycles
- Example 15: Two-sector neoclassical model
- Example 16: The tent map

## Chapter 7

- Example 1: The One-Sector Model
- Example 2: The Two-Sector Model
- Example 3: Two-Sector Models and Joint Production
- Example 4: Malinvaud Technologies
- Example 5: Nonclassical Technology
- Example 6: Capital Accumulation and Wealth Effects
- Example 7: Capital Income Tax Reform and Capital Deepening
- Example 8: TAS Utility
- Example 9: Epstein-Hynes Utility
- Example 10: The UEH Aggregator

## Chapter 8

- Example 1: Nonexistence of individually rational Pareto optima in
*l*^{∞} - Example 2: Nonexistence of individually rational Pareto optima in R
^{2} - Example 3: Nonexistence of dual equilibrium prices
- Example 4: One-sector models with diminishing returns
- Example 5: Multisector models with diminishing returns
- Example 6: An economy of firms
- Example 7: The sum of closed convex cones need not be closed
- Example 8: Equilibrium with recursive utility