This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and...

Sets, Relations and Preferences -- Linear Spaces and Transformations -- Topology and Convex Optimisation -- Differential Calculus and Smooth Optimisation -- Singularity Theory and General Equilibria -- Topology and Social Choice.

This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective....

This textbook presents worked-out exercises on game theory with detailed step-by-step explanations. While most textbooks on game theory focus on theoretical results, this book focuses on providing practical examples in which students can learn to systematically apply theoretical solution...

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents...

This textbook is an elementary introduction to the key topics in mathematical finance and financial economics - two realms of ideas that substantially overlap but are often treated separately from each other. Our goal is to present the highlights in the field, with the emphasis on the financial...

1. Modeling -- 2. Sensitivity Analysis -- 3. Indexed Sensitivity Analysis -- 4. Scenario Analysis -- 5. Simulation Analysis -- 6. Customized Input Distributions -- 7. Decision Analysis – Expected Value Maximization -- 8. Decision Analysis – Advanced Topic -- 9. Optimization: Decisions With...

In this book, the authors reject the theorem-proof approach as much as possible, and emphasize the practical application of econometrics. They show with examples how to calculate and interpret the numerical results. This book begins with students estimating simple univariate models, in a step by...

This textbook articulates the elements of good craftsmanship in applied microeconomic research and demonstrates its effectiveness with multiple examples from economic literature. Empirical economic research is a combination of several elements: theory, econometric modelling, institutional...

This textbook provides a hands-on and intuitive overview of the methodological foundations of experimental economics. Experimental economic research has been an integral part of economic science for quite some time and is gaining more and more attention in related disciplines. The book addresses...