Download or read book Topological Social Choice written by Geoffrey Heal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number 2, 1997. The common aim of these workshops and this volume is to crystallize research in an area which has emerged rapidly in the last fifteen years, the area of topological approaches to social choice and the theory of games. The area is attracting increasing interest from social choice theorists, game theorists, mathematical econ omists and mathematicians, yet there is no authoritative collection of papers in the area. Nor is there any surveyor book to give a perspective and act as a guide to the issues in and contributions to this new area. One of the two aims of this volume is in some measure to play this role: the other aim is of course to present interesting and surprising new results.

Download or read book Topology and Markets written by Graciela Chichilnisky and published by American Mathematical Soc.. This book was released on 1998 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a workshop on geometry, topology, and markets held at The Fields Institute. The workshop was attended by eminent mathematicians and financial and economic theorists. Using a topological approach, the volume discusses new mathematics and its applications to social sciences and financial markets. Topics addressed at the workshop included new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and co-operative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.

Download or read book Social Choice Re examined written by Kotaro Suzumura and published by Springer. This book was released on 1997-10-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since World War II the subject of social choice has grown in many and surprising ways. The impossibility theorems have suggested many directions: mathematical characterisations of voting structures satisfying various sets of conditions, the consequences of restricting choice to certain domaines, the relation to competitive equilibrium and the core, and trade-offs among the partial satisfactions of some conditions. The links with classical and modern theories of justice and, in particular, the competing ideas of rights and utilitarianism have shown the power of formal social choice analysis in illuminating the most basic philosophical arguments about the good social life. Finally, the ideals of the just society meet with the play of self interest; social choice mechanisms can lend themselves to manipulation, and the analysis of conditions under which given ideals can be realised under self interest is a political parallel to the welfare economics of the market. The contributors to these volumes focus on these issues at the forefront of current research.

Download or read book Individual and Collective Choice and Social Welfare written by Constanze Binder and published by Springer. This book was released on 2015-04-22 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume explore various issues relating to theories of individual and collective choice, and theories of social welfare. The topics include individual and collective rationality, motivation and intention in economics, coercion, public goods, climate change, and voting theory. The book offers an excellent overview over latest research in these fields.

Download or read book Market Consistent Prices written by Pablo Koch-Medina and published by Springer Nature. This book was released on 2020-07-16 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The book then focuses on incomplete markets where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded financial contracts, i.e. the set of prices at which such contracts could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and the scope, while also presenting new results. The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to mathematical finance and financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.

Download or read book Domain Conditions in Social Choice Theory written by Wulf Gaertner and published by Cambridge University Press. This book was released on 2001-09-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wulf Gaertner provides a comprehensive account of an important and complex issue within social choice theory: how to establish a social welfare function while restricting the spectrum of individual preferences in a sensible way. Gaertner's starting point is K. J. Arrow's famous 'Impossibility Theorem', which showed that no welfare function could exist if an unrestricted domain of preferences is to be satisfied together with some other appealing conditions. A number of leading economists have tried to provide avenues out of this 'impossibility' by restricting the variety of preferences: here, Gaertner provides a clear and detailed account, using standardized mathematical notation, of well over forty theorems associated with domain conditions. Domain Conditions in Social Choice Theory will be an essential addition to the library of social choice theory for scholars and their advanced graduate students.

Download or read book Investors and Markets written by William F. Sharpe and published by Princeton University Press. This book was released on 2008-07 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Nobel Prize-winning financial economist William Sharpe shows that investment professionals cannot make good portfolio choices unless they understand the determinants of asset prices." -- Provided by publisher.

Download or read book Mathematical Methods in Economics and Social Choice written by Norman Schofield and published by Springer Science & Business Media. This book was released on 2013-10-11 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. 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.

Download or read book The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R A Newing written by Iain S. McLean and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. H. Coase Duncan Black was a close and dear friend. A man of great simplicity, un worldly, modest, diffident, with no pretensions, he was devoted to scholarship. In his single-minded search for the truth, he is an example to us all. Black's first degree at the University of Glasgow was in mathematics and physics. Mathematics as taught at Glasgow seems to have been designed for engineers and did not excite him and he switched to economics, which he found more congenial. But it was not in a lecture in economics but in one on politics that he found his star. One lecturer, A. K. White, discussed the possibility of constructing a pure science of politics. This question caught his imagination, perhaps because of his earlier training in physics, and it came to absorb his thoughts for the rest of his life. But almost certainly nothing would have come of it were it not for his appointment to the newly formed Dundee School of Economics where the rest of the. teaching staff came from the London School of Economics. At Glasgow, economics, as in the time of Adam Smith, was linked with moral philosophy. At Dundee, Black was introduced to the analytical x The Theory o/Committees and Elections approach dominant at the London School of Economics. This gave him the approach he used in his attempt to construct a pure science of politics.

Download or read book Topics in Mathematical Economics and Game Theory written by Robert J. Aumann and published by American Mathematical Soc.. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.

Download or read book Markets Information and Uncertainty written by Kenneth Joseph Arrow and published by Cambridge University Press. This book was released on 1999-01-28 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading theorists offer insights on the role of uncertainty and information in the market.

Download or read book From Topology to Computation Proceedings of the Smalefest written by Morris W. Hirsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.

Download or read book Social Choice and Resource Allocation written by G. M. Heal and published by . This book was released on 1995 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book General Equilibrium written by W. D. A. Bryant and published by World Scientific. This book was released on 2010 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book focuses on the foundations of general equilibrium theory, more specifically on the existence, uniqueness, stability, optimality and comparative static properties of equilibrium states. It also explores the question of the empirical relevance of equilibrium states. It highlights a series of 'relationship conditions' which are essential for the existence of equilibrium, but appear in optimality results." -- PUBLISHER WEBSITE.

Download or read book Handbook of Social Choice and Welfare written by Kenneth J. Arrow and published by Elsevier. This book was released on 2010-10-13 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second part of a two-volume set continues to describe economists' efforts to quantify the social decisions people necessarily make and the philosophies that those choices define. Contributors draw on lessons from philosophy, history, and other disciplines, but they ultimately use editor Kenneth Arrow's seminal work on social choice as a jumping-off point for discussing ways to incentivize, punish, and distribute goods. - Develops many subjects from Volume 1 (2002) while introducing new themes in welfare economics and social choice theory - Features four sections: Foundations, Developments of the Basic Arrovian Schemes, Fairness and Rights, and Voting and Manipulation - Appeals to readers who seek introductions to writings on human well-being and collective decision-making - Presents a spectrum of material, from initial insights and basic functions to important variations on basic schemes

Download or read book A Topological Invariant for Competitive Markets written by Graciela Chichilnisky and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Economics of the Global Environment written by Graciela Chichilnisky and published by Springer. This book was released on 2017-05-18 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book combining research on the Global Environment, Catastrophic Risks and Economic Theory and Policy. Modern economic theory originated in the middle of the twentieth century when industrial expansion coupled with population growth led to a voracious use of natural resources and global environmental concerns. It is uncontested that, for the first time in recorded history, humans dominate the planet, changing the planet's atmosphere, its bodies of water, and the complex web of species that makes life on earth. This radical change in circumstances led to rethinking of the foundations of human organization and, in particular, the industrial economy and the economic theory behind it. This book brings together new approaches on multiple levels: environmental sustainability requires rethinking in terms of economic theory and policy as well as the considerations of catastrophic risk and extremal events. Leading experts address questions of economic governance, risk management, policy decision making and distribution across time and space.