Author: Graciela Chichilnisky
Publisher: American Mathematical Soc.
ISBN: 0821810715
Category : Business & Economics
Languages : en
Pages : 124
Get Book Here
Book Description
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.
Author: Antonio Villanacci
Publisher: Springer Science & Business Media
ISBN: 9781402072017
Category : Business & Economics
Languages : en
Pages : 516
Get Book Here
Book Description
Local uniqueness and smooth dependence of the endogenous variables from the exogenous ones are studied using a version of a so-called parametric transversality theorem. In a standard general equilibrium model, all equilibria are efficient, but that is not the case if some imperfection, like incomplete markets, asymmetric information, strategic interaction, is added. Then, for almost all economies, equilibria are inefficient, and an outside institution can Pareto improve upon the market outcome. Those results are proved showing that a well-chosen system of equations has no solutions."
Author: Ovidiu Racorean
Publisher: CreateSpace
ISBN: 9781494456634
Category :
Languages : en
Pages : 118
Get Book Here
Book Description
In The News: Business Insider - "Hedge fund researcher is working on a higher dimensional geometric model of the stock market" International Business Times - "How do you picture the stock market: a bunch of guys yelling at computer screens on Wall Street? A long list of figures in the paper? Or, perhaps, an ever-shifting, higher dimensional jewel? The latter vision is that of Ovidiu Racorean... " The large public is, for the first time, invited to take a closer look through the "keyhole" of a hedge fund "next generation research laboratory" door. The image reader will discover is astonishing; no exaggeration. From simple to complex, the book presents familiar financial concepts like stocks, market index (Dow Jones Industrial Average), algorithmic trading, to name just a few, in a manner that have never been experienced before. The reader is taken to a journey throughout a financial mathematics world that it seems detached from the 22nd century science. Part of a so called "underground quant researchers group," the author disclose throughout the pages of the book a picture of how quantum computer generation of quants will impact the financial markets in the near future, giving the reader a hint of how far research goes in mathematical finance. ARE WE PREPARED FOR THE QUANTUM COMPUTER TRADING AND INVESTING?
Author: Tai-Danae Bradley
Publisher: MIT Press
ISBN: 0262359626
Category : Mathematics
Languages : en
Pages : 167
Get Book Here
Book Description
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486469034
Category : Mathematics
Languages : en
Pages : 399
Get Book Here
Book Description
Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 048615274X
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.
Author: Ahmad K. Naimzada
Publisher: Springer Science & Business Media
ISBN: 3540684093
Category : Business & Economics
Languages : en
Pages : 292
Get Book Here
Book Description
There is convergent consensus among scientists that many social, economic and ?nancial phenomena can be described by a network of agents and their inter- tions. Surprisingly, even though the application ?elds are quite different, those n- works often show a common behaviour. Thus, their topological properties can give useful insights on how the network is structured, which are the most “important” nodes/agents, how the network reacts to new arrivals. Moreover the network, once included into a dynamic context, helps to model many phenomena. Among the t- ics in which topology and dynamics are the essential tools, we will focus on the diffusion of technologies and fads, the rise of industrial districts, the evolution of ?nancial markets, cooperation and competition, information ?ows, centrality and prestige. The volume, including recent contributions to the ?eld of network modelling, is based on the communications presented at NET 2006 (Verbania, Italy) and NET 2007 (Urbino, Italy); offers a wide range of recent advances, both theoretical and methodological, that will interest academics as well as practitioners. Theory and applications are nicely integrated: theoretical papers deal with graph theory, game theory, coalitions, dynamics, consumer behavior, segregation models and new contributions to the above mentioned area. The applications cover a wide range: airline transportation, ?nancial markets, work team organization, labour and credit market.
Author: Shaun V. Ault
Publisher: JHU Press
ISBN: 142142407X
Category : Mathematics
Languages : en
Pages : 410
Get Book Here
Book Description
"Topology can present significant challenges for undergraduate students of mathematics and the sciences. 'Understanding topology' aims to change that. The perfect introductory topology textbook, 'Understanding topology' requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the book's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Ault's unique emphasis on fascinating applications, from chemical dynamics to determining the shape of the universe, will engage students in a way traditional topology textbooks do not"--Back cover.
Author: I.M. James
Publisher: Elsevier
ISBN: 0080534074
Category : Mathematics
Languages : en
Pages : 1067
Get Book Here
Book Description
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Author: Glen E. Bredon
Publisher: Springer Science & Business Media
ISBN: 0387979263
Category : Mathematics
Languages : en
Pages : 580
Get Book Here
Book Description
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
