To write everything about nothing, or to write nothing about everything: this is the problem. (Anonym, circa 1996-97) The first idea to write a book on M athematical Economics, more or less ordered in a historical sequence, occurred to me in 1995, when I was asked, by Istituto delta Enciclopedia Italiana, to write the entry "Storia dell'economia 1 2 matematica" , for the collective work "Storia deI XX Secolo". I thought that it would be interesting to elaborate on the text presented to the editors, to turn it into a book aiming at giving a panorama of what, in my opinion, are the main 20th century contributions to mathematical eco nomics. Of course, only a narrow set of the contributions made by economic theorists could be included, both for space limitations and necessity, because 3 of the limited competence of any single author. For instance, I have paid very limited attention to what is now called Macroeconomics, and also to Game Theory, which actually has grown so much as to acquire scientific in dependence as a living branch of applied mathematics. For the same reason, I have also left completely untouched such fields as Mathematical Finance, Public Economics, Theory of Taxation, etc. I have always based my presentation on published material only, assuming that what is contained in working papers still waits to be confirmed, possibly in the first years of the 21th century.

Japanese economists began publishing scientific papers in renowned journals including Econometrica in the 1950s and had made their significant contributions to the sophistication of general equilibrium analysis by intensive use of a variety of mathematical instruments. They had contributed significantly to the transformation of neoclassical economics. This book examines how it became possible for Japanese economists to do so by shedding light on the "professional" discussion of the international gold standard and parity policies in the early twentieth century, the acceptance of "mathematical economics" in the following period, the impact of establishment of the Econometric Society (1930), and the swift distribution of theory-oriented economics journals since 1930. This book also includes topics on the historical research of the Japanese foundations of modern economics, the transformation of the economics of Keynes into Keynesian economics, Japanese developments in econometrics, and Martin Bronfenbrenner's visit to Japan in the post-WWII period. This book provides insight into the economic research done by Japanese scholars in the international context. It traces how, during the period 1900-1960, economics was harmonized with economics and a standard economics was re-shaped on the basis of mathematics thanks to economists' appetite for rigor and will help to contribute to existing literature.

This book, set out over three-volumes, provides a comprehensive history of economic thought in the 20th century with special attention to the cultural and historical background in the development of theories, to the leading or the peripheral research communities and their interactions, and finally to an assessment and critical appreciation of economic theories. Volume II addresses economic theory in the period between the two world wars in which the economic theory went through a process of criticism of old mainstream, deconstruction and reconstruction and theoretical ferment which involved the intellectual communities of economists emphasizing their nature of evolving interacting entities. This work provides a significant and original contribution to the history of economic thought and gives insight to the thinking of some of the major international figures in economics. It will appeal to students, scholars and the more informed reader wishing to further their understanding of the history of the discipline.

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues.

Increasing efficiency in generating national income and improving equity in its distribution among economic agents is at the forefront of priorities of most modern economies. This book presents a model which aims to maximize a symmetrical welfare function under certain constraints which consider both efficiency and equity, i.e. taxes and subsidies, implemented by a public authority. The model is numerically implemented and considers a set of economic agents with starting incomes that satisfy Pareto income law under various values of the alpha parameter. Also, the model implementations respect the social production function. Various experiments are presented which show how income inequality (measured by means of the Lorenz curve and, what I call, the Lorenz-Gini inequality index) and measures of poverty are sensibly reduced by redistributing national income without lowering efficiency in production. A case study, or application, of Italian personal income in 2008 is also presented.

Forward thinking and provocative, this Research Agenda demonstrates different approaches to the field from experts focusing on global and local, and historical and contemporary issues. Eminent global scholars examine a diverse selection of interdisciplinary themes, raising questions surrounding future research, offering examples and linking the theory to its implications for practice and policy.

This book accounts for the work done around the two central aspects of Piero Sraffa's contribution to economic analysis, namely the criticism of the neoclassical theory of value and distribution and the reconstruction of economic theory along the lines of the Classical approach.