Computing Equilibria and Fixed Points PDF Download

Author: Zaifu Yang
Publisher: Springer Science & Business Media
ISBN: 1475748396
Category : Business & Economics
Languages : en
Pages : 349

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Book Description
Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).

Author: Zaifu Yang
Publisher:
ISBN: 9781475748406
Category :
Languages : en
Pages : 364

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Author: Ken Urai
Publisher: World Scientific
ISBN: 9814469181
Category : Mathematics
Languages : en
Pages : 311

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Book Description
This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.

Author: Michael J. Todd
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 102

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Author: Jerzy Łoś
Publisher: Elsevier Science & Technology
ISBN:
Category : Business & Economics
Languages : en
Pages : 358

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Author: Stepan Karamardian
Publisher: Academic Press
ISBN: 1483261131
Category : Mathematics
Languages : en
Pages : 505

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Book Description
Fixed Points: Algorithms and Applications covers the proceedings of the First International Conference on Computing Fixed Points with Applications, held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina on June 26-28, 1974. This book is composed of 21 chapters and starts with reviews of finding roots of polynomials by pivoting procedures and the relations between convergence and labeling in approximation algorithm. The next chapters deal with the principles of complementary pivot theory and the Markovian decision chains; the method of continuation for Brouwer fixed point calculation; a fixed point approach to stability in cooperative games; and computation of fixed points in a nonconvex region. Other chapters discuss a computational comparison of fixed point algorithms, the fundamentals of union jack triangulations, and some aspects of Mann's iterative method for approximating fixed points. The final chapters consider the application of fixed point algorithms to the analysis of tax policies and the pricing for congestion in telephone networks. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

Author: Vasile Berinde
Publisher: Springer
ISBN: 3540722343
Category : Mathematics
Languages : en
Pages : 338

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Book Description
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.

Author: John B. Shoven
Publisher: Cambridge University Press
ISBN: 9780521319867
Category : Business & Economics
Languages : en
Pages : 316

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Book Description
The central idea underlying this work is to convert the Walrasian general equilibrium structure (formalized in the 1950s by Kenneth Arrow, Gerard Debreu and others) from an abstract representation of an economy into realistic models of actual economies.

Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230553054
Category :
Languages : en
Pages : 66

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Book Description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 64. Chapters: Nash equilibrium, Brouwer fixed point theorem, Contraction mapping, Banach fixed point theorem, Minimax, Fixed point combinator, Derangement, Weil conjectures, Renormalization group, Cycle detection, Kakutani fixed point theorem, Domain theory, Lotka-Volterra equation, Common knowledge, Functional renormalization group, Cycles and fixed points, Knaster-Tarski theorem, Thue-Morse sequence, Hairy ball theorem, Lefschetz fixed-point theorem, Sperner's lemma, Applied general equilibrium, Local zeta-function, Diagonal lemma, Iterated function, Infrared fixed point, Atiyah-Bott fixed-point theorem, Rencontres numbers, Rotation number, Fixed point property, Autonomous convergence theorem, Price of stability, Fixed-point lemma for normal functions, Bourbaki-Witt theorem, Conley index theory, Fixed points of isometry groups in Euclidean space, UV fixed point, Schauder fixed point theorem, Lefschetz zeta function, Caristi fixed point theorem, Nielsen theory, Markus Yamabe conjecture, Fixed point theorems in infinite-dimensional spaces, Fixed point index, Ryll-Nardzewski fixed point theorem, Artin-Mazur zeta function, Least fixed point, Knaster-Kuratowski-Mazurkiewicz lemma, Banks-Zaks fixed point, Coincidence point, Kleene fixed-point theorem, Fixed point space, Sullivan conjecture, Borel fixed-point theorem. Excerpt: In game theory, Nash equilibrium (named after John Forbes Nash, who proposed it) is a solution concept of a game involving two or more players, in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only his own strategy unilaterally. If each player has chosen a strategy and no player can benefit by changing his or her strategy while the other players keep theirs unchanged, then the current set of strategy...

Author: David Gao
Publisher: Springer
ISBN: 3319083775
Category : Mathematics
Languages : en
Pages : 522

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Book Description
This proceedings volume addresses advances in global optimization—a multidisciplinary research field that deals with the analysis, characterization and computation of global minima and/or maxima of nonlinear, non-convex and nonsmooth functions in continuous or discrete forms. The volume contains selected papers from the third biannual World Congress on Global Optimization in Engineering & Science (WCGO), held in the Yellow Mountains, Anhui, China on July 8-12, 2013. The papers fall into eight topical sections: mathematical programming; combinatorial optimization; duality theory; topology optimization; variational inequalities and complementarity problems; numerical optimization; stochastic models and simulation and complex simulation and supply chain analysis.