Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics ...
This text covers the basic theory and computation for mathematical modeling in linear programming. It provides a strong background on how to set up mathematical proofs and high-level computation methods, and includes substantial background material and direction. Paris presents an intuitive and novel discussion of what it means to solve a system of equations that is a crucial stepping stone for solving any linear program. The discussion of the simplex method for solving linear programs gives an economic interpretation to every step of the simplex algorithm. The text combines in a unique and novel way the microeconomics of production with the structure of linear programming to give students and scholars of economics a clear notion of what it means, formulating a model of economic equilibrium and the computation of opportunity cost in the presence of many outputs and inputs.
This text covers the basic theory and computation for mathematical modeling in linear programming.
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.
Now we think of a particular program, say x10, x20, . . . , xk0, which we assume to
be optimal, i.e., to maximize r subject to the restraint of Eqs. (8 1). Two of the
properties of this program are trivial: none of its elements is negative, and it
satisfies ...
This book is a challenging inquiry using the foundational epistemology that establishes the Islamic worldview and its applications to all socio-scientific theory, issues and problems. This foundational premise of all socio-scientific inquiry is the epistemology of unity of knowledge in the Qur'an combined with the Guidance of the Prophet Muhammad (Sunnah) and extensive discourse in scientific reasoning. Such a foundational epistemology called Tawhid, the Oneness of Allah in the Qur'an, is challenging and quite a different worldview of socio-scientific inquiry than the existing thinking and practice that came to be known as "islamic Economics and Finance". The latter literature is embedded in mainstream economic theory and practice. It contributes to the understanding of the methodology emanating from the fundamental epistemology of Tawhid in socio-scientific reasoning.
This book is a challenging inquiry using the foundational epistemology that establishes the Islamic worldview and its applications to all socio-scientific theory, issues and problems.
This paper revisits earlier studies on the determinants of tax amnesties. The novel findings are (i) amnesties are more likely to be declared during fiscal stress periods, and (ii) political factors significantly affect the introduction and timing of amnesties. In particular, the paper empirically disentangles opposite theoretical effects to show that governors perceive amnesties as another revenue source (rather than a tax increase alternative). Finally, supporting evidence shows that by breaking horizontal equity, amnesties might be perceived as unfair: a significant correlation exists between governors who lost their reelection bids and the introduction of a tax amnesty during their election years.
They could therefore blame the governor as being incompetent and not reelect
him/her. In the case where an amnesty is unsuccessful, then the governor's
reputation could also be tarnished by having introduced an unsuccessful
program. On the other hand, a positive and significant effect would arise if
governors think of tax amnesties and tax increases as substitutes. A tax amnesty
program is not a new tax but an administrative scheme to collect past taxes. With
tax increases ahead of ...
