Few textbooks in mathematical economics cover optimal timing problems. Those which cover them do it scantly or in a rather clumsy way, making it hard for students to understand and apply the concept of optimal time in new contexts. Discussing the plentiful illustrations of optimal timing...

Hidden type contracts are examined in their simplest formulation in order to fully prove the role of the single crossing property to eliminate rendundant constraints and to show how this necessary condition constrains the parameters in the case of linear functions. Mechanism design examples are...

We present a simple method of solving first-order linear differential and difference equations with a constant term and a constant coefficient. When solving such equations standard books in mathematical economics resort to a particular integral and a complementary function without further...

In this paper, we analyze a purchase lot-sizing decision that includes transport cost using actual motor carrier freight rates. Lot-sizing models in the literature either estimate motor carrier freight rates with a continuous function or simplify less-than-truckload freight rates unrealistically...

Teaching Dynamic Macroeconomics at undergraduate courses relies exclusively on intuitive prose and graphics depicting behaviours and steady states of the main markets of the economy. But when the case of forward-looking agents and the macroeconomic implications of their actions are discussed,...

This paper reports on the current state of a project to develop a system dynamics (SD) model for urban housing markets in China, aimed at facilitating policy analysis and supporting practical educational tools that might reach large numbers of potential entrepreneurs in China. Although numerous...

We define a standard optimization problem with quadratic objective function and provide a rigorous visual proof for its solution without using calculus. We then show that such standard problem is a building block for several economic models related to microeconomics, game theory and pricing...

Spanish Abstract: Al enseñar los modelos de equilibrio general los libros de texto de microeconomía se centran en las ideas que se pueden extraer del diagrama de Edgeworth para el intercambio. Las herramientas necesarias para analizar matemáticamente los modelos de equilibrio general abruman...

The objective of this manuscript is to provide a simple guide to instructors and students on how to solve and simulate a discrete-time specification of the Life-Cycle/Permanent-Income Model of Consumption and Saving (LCPI Model) using only algebra and basic calculus. The solution and simulation...

This textbook provides all tools required to easily solve intertemporal optimization problems in economics, finance, business administration and related disciplines. The focus of this textbook is on 'learning through examples' and gives a very quick access to all methods required by an...