Constructing Fixed Points And Economic Equilibria
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Fixed Points And Economic Equilibria
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Author : Ken Urai
language : en
Publisher: World Scientific
Release Date : 2010
Fixed Points And Economic Equilibria written by Ken Urai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Wuthering Heights
Constructing Fixed Points And Economic Equilibria
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Author : Matthew Ralph John Hendtlass
language : en
Publisher:
Release Date : 2013
Constructing Fixed Points And Economic Equilibria written by Matthew Ralph John Hendtlass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Constructing Fixed Points And Economic Equilibria
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Author : Matthew Ralph John Hendtlass
language : en
Publisher:
Release Date : 2013
Constructing Fixed Points And Economic Equilibria written by Matthew Ralph John Hendtlass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Fixed Point Theorems With Applications To Economics And Game Theory
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Author : Kim C. Border
language : en
Publisher: Cambridge University Press
Release Date : 1985
Fixed Point Theorems With Applications To Economics And Game Theory written by Kim C. Border and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Business & Economics categories.
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Handbook Of Constructive Mathematics
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Author : Douglas Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2023-05-11
Handbook Of Constructive Mathematics written by Douglas Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-11 with Mathematics categories.
Constructive mathematics – mathematics in which 'there exists' always means 'we can construct' – is enjoying a renaissance. fifty years on from Bishop's groundbreaking account of constructive analysis, constructive mathematics has spread out to touch almost all areas of mathematics and to have profound influence in theoretical computer science. This handbook gives the most complete overview of modern constructive mathematics, with contributions from leading specialists surveying the subject's myriad aspects. Major themes include: constructive algebra and geometry, constructive analysis, constructive topology, constructive logic and foundations of mathematics, and computational aspects of constructive mathematics. A series of introductory chapters provides graduate students and other newcomers to the subject with foundations for the surveys that follow. Edited by four of the most eminent experts in the field, this is an indispensable reference for constructive mathematicians and a fascinating vista of modern constructivism for the increasing number of researchers interested in constructive approaches.
Advanced Fixed Point Theory For Economics
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Author : Andrew McLennan
language : en
Publisher: Springer
Release Date : 2018-07-03
Advanced Fixed Point Theory For Economics written by Andrew McLennan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-03 with Business & Economics categories.
This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstandingtext for advanced graduate courses in economics and related disciplines.
The Idea Of History In Constructing Economics
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Author : Michael H. Turk
language : en
Publisher: Routledge
Release Date : 2015-08-11
The Idea Of History In Constructing Economics written by Michael H. Turk and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-11 with Business & Economics categories.
How scientific is economics? This question has often been framed by analogies and correspondences made between economics and other, seemingly more well-established scientific disciplines, starting with classical mechanics. At the same time economics is likely to be seen in opposition to or in contrast with history, where the reliance upon generalizing rules, thought experiments, and model construction in economics is set against the amassing of particular facts intended to create narratives in history. In this new volume, Turk explores the relationship between economics and history, including the often fraught one between economics and economic history, making the case that economics does in fact require the proper grounding in history that has so often been ignored. This work challenges the attempt to link economics with other, more clearly ‘scientific’ disciplines as flawed and fundamentally wrongheaded. A key element of this book is its examination of the gaps and associations that exist in, or are seen through, linkages with thermodynamics, classical mechanics , biology, literature, mathematics, philosophy, and sociology. This exploration is frequently undertaken through study of the work of one or more major figures in the history of economic thought, ranging from Quesnay and Smith, through Walras and Max Weber, to Robinson, Krugman, David, and Arthur. Through the possibility of an alternative to the gaps noted in each such comparison, the underlying, necessary connection between economics and history can be brought out. The book concludes by exploring the basis for the positive construction of a historical economics. This book is suited for those who study history of economic thought and philosophy of economics.
Equilibrium Problems And Applications
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Author : Gábor Kassay
language : en
Publisher: Academic Press
Release Date : 2018-10-09
Equilibrium Problems And Applications written by Gábor Kassay and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Business & Economics categories.
Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis. - A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics - Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs - Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets - Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn
Mathematics For Computation M4c
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Author : Marco Benini
language : en
Publisher: World Scientific
Release Date : 2023-03-21
Mathematics For Computation M4c written by Marco Benini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Mathematics categories.
The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.
Handbook Of Computability And Complexity In Analysis
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Author : Vasco Brattka
language : en
Publisher: Springer Nature
Release Date : 2021-06-04
Handbook Of Computability And Complexity In Analysis written by Vasco Brattka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Computers categories.
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.