Mathematical Methods In Economics And Social Choice
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Author | : norman schofield |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2004-03-15 |
Genre | : Business & Economics |
ISBN | : 9783540211389 |
Download Mathematical Methods in Economics and Social Choice Book in PDF, Epub and Kindle
In recent years, the usual optimisation techniques have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behaviour of general economic and political systems. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.
Author | : Norman Schofield |
Publisher | : Routledge |
Total Pages | : 294 |
Release | : 2018-03-05 |
Genre | : Business & Economics |
ISBN | : 1351140434 |
Download Mathematical Methods in Economics Book in PDF, Epub and Kindle
Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies.
Author | : Kenneth Joseph Arrow |
Publisher | : North Holland |
Total Pages | : 476 |
Release | : 1981 |
Genre | : Business & Economics |
ISBN | : |
Download Handbook of Mathematical Economics Book in PDF, Epub and Kindle
The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.Volume 1 deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory.For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/hes
Author | : Allan M. Feldman |
Publisher | : Springer Science & Business Media |
Total Pages | : 401 |
Release | : 2006-06-14 |
Genre | : Business & Economics |
ISBN | : 038729368X |
Download Welfare Economics and Social Choice Theory Book in PDF, Epub and Kindle
This book covers the main topics of welfare economics — general equilibrium models of exchange and production, Pareto optimality, un certainty, externalities and public goods — and some of the major topics of social choice theory — compensation criteria, fairness, voting. Arrow's Theorem, and the theory of implementation. The underlying question is this: "Is a particular economic or voting mechanism good or bad for society?" Welfare economics is mainly about whether the market mechanism is good or bad; social choice is largely about whether voting mechanisms, or other more abstract mechanisms, can improve upon the results of the market. This second edition updates the material of the first, written by Allan Feldman. It incorporates new sections to existing first-edition chapters, and it includes several new ones. Chapters 4, 6, 11, 15 and 16 are new, added in this edition. The first edition of the book grew out of an undergraduate welfare economics course at Brown University. The book is intended for the undergraduate student who has some prior familiarity with microeconomics. However, the book is also useful for graduate students and professionals, economists and non-economists, who want an overview of welfare and social choice results unburdened by detail and mathematical complexity. Welfare economics and social choice both probably suffer from ex cessively technical treatments in professional journals and monographs.
Author | : Christoph Borgers |
Publisher | : SIAM |
Total Pages | : 233 |
Release | : 2010-01-01 |
Genre | : Political Science |
ISBN | : 0898717620 |
Download Mathematics of Social Choice Book in PDF, Epub and Kindle
Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.
Author | : Kenneth Joseph Arrow |
Publisher | : Yale University Press |
Total Pages | : 152 |
Release | : 1963-01-01 |
Genre | : Social Science |
ISBN | : 9780300013641 |
Download Social Choice and Individual Values Book in PDF, Epub and Kindle
The literature on the theory of social choice has grown considerably beyond the few items in existence at the time the first edition of this book appeared in 1951. Some of the new literature has dealt with the technical, mathematical aspects, more with the interpretive. My own thinking has also evolved somewhat, although I remain far from satisfied with present formulations. The exhaustion of the first edition provides a convenient time for a selective and personal stocktaking in the form of an appended commentary entitled, 'Notes on the Theory of Social Choice, 1963, ' containing reflections on the text and its omissions and on some of the more recent literature. This form has seemed more appropriate than a revision of the original text, which has to some extent acquired a life of its own.
Author | : Anjan Mukherji |
Publisher | : OUP India |
Total Pages | : 0 |
Release | : 2011-02-03 |
Genre | : Business & Economics |
ISBN | : 9780198069973 |
Download Mathematical Methods and Economic Theory Book in PDF, Epub and Kindle
This textbook for postgraduate students learning mathematical methods in economics provides a comprehensive account of mathematics required to analyse and solve problems of choice encountered by economists. It looks at a wide variety of decision-making problems, both static and dynamic, in various contexts and provides mathematical foundations for the relevant economic theory.
Author | : Sunanda Roy |
Publisher | : Cambridge Scholars Publishing |
Total Pages | : 364 |
Release | : 2020-03-17 |
Genre | : Business & Economics |
ISBN | : 1527548538 |
Download A First Course in Mathematical Economics Book in PDF, Epub and Kindle
The book studies a set of mathematical tools and techniques most necessary for undergraduate economics majors as they transition from largely non-technical first-year principles courses into calculus-based upper-level courses in economics. The book’s presentation style places more emphasis on the intuition underlying the mathematical concepts and results discussed and less on proofs and technical details. Its discussion topics have been chosen in terms of their immediate usefulness for beginners, while examples and applications are drawn from material that is familiar from introductory economics courses.
Author | : Steven Brams |
Publisher | : Springer Science & Business Media |
Total Pages | : 412 |
Release | : 2009-02-11 |
Genre | : Mathematics |
ISBN | : 3540791280 |
Download The Mathematics of Preference, Choice and Order Book in PDF, Epub and Kindle
Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.
Author | : Peter C. Fishburn |
Publisher | : Princeton University Press |
Total Pages | : 277 |
Release | : 2015-03-08 |
Genre | : Social Science |
ISBN | : 1400868335 |
Download The Theory of Social Choice Book in PDF, Epub and Kindle
One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.