Equilibrium Theory In Infinite Dimensional Spaces
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| Author | : M. Ali Khan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 441 |
| Release | : 2013-03-09 |
| Genre | : Business & Economics |
| ISBN | : 3662070715 |
Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold.
| Author | : Ali Khan |
| Publisher | : Springer Verlag |
| Total Pages | : 435 |
| Release | : 1991 |
| Genre | : Business & Economics |
| ISBN | : 9780387544809 |
| Author | : Charalambos D. Aliprantis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 257 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662032333 |
This is the first book to teach the basic methods of proof and problem solving in General Equilibrium Theory at graduate level. The problems cover the entire spectrum of difficulty: some are routine, while others require a good grasp of the material involved, and some are even challenging. In searching for the basic required techniques, students will discover a wealth of new material, and are encouraged to arrive at solutions different from the ones presented in the book. Complete solutions to two hundred problems are provided.
| Author | : C.D. Aliprantis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 240 |
| Release | : 2013-03-14 |
| Genre | : Business & Economics |
| ISBN | : 3642516025 |
| Author | : Ken Urai |
| Publisher | : World Scientific |
| Total Pages | : 311 |
| Release | : 2010 |
| Genre | : Business & Economics |
| ISBN | : 9812837191 |
1. Introduction. 1.1. Mathematics is language. 1.2. Notes on some mathematical tools in this book. 1.3. Basic mathematical concepts and definitions -- 2. Fixed-point theorems. 2.1. Classical results and basic extensions. 2.2. Convexity and duality for general spaces. 2.3. Extension of classical results to general spaces -- 3. Nash equilibrium and abstract economy. 3.1. Multi-agent product settings for games. 3.2. Nash equilibrium. 3.3. Abstract economy -- 4. Gale-Nikaido-Debreu's theorem. 4.1. Gale-Nikaido-Debreu's theorem. 4.2. Market equilibria in general vector spaces. 4.3. Demand-supply coincidence in general spaces -- 5. General economic equilibrium. 5.1. General preferences and basic existence theorems. 5.2. Pareto optimal allocations. 5.3. Existence of general equilibrium -- 6. The C̮ech type homology theory and fixed points. 6.1. Basic concepts in algebraic topology. 6.2. Vietoris-Begle mapping and local connectedness. 6.3. Nikaido's analogue of Sperner's lemma. 6.4. Eilenberg-Montgomery's theorem -- 7. Convex structure and fixed-point index. 7.1. Lefschetz's fixed-point theorem and its extensions. 7.2. Cohomology theory for general spaces. 7.3. Dual-system structure and differentiability. 7.4. Linear Approximation for Isolated Fixed Points. 7.5. Indices for compact set of fixed points -- 8. Applications to related topics. 8.1. KKM, KKMS, and core existence. 8.2. Eaves' theorem. 8.3. Fan-Browder's coincidence theorem. 8.4. L-majorized mappings. 8.5. Variational inequality problem. 8.6. Equilibrium with cooperative concepts. 8.7. System of inequalities and affine transformations -- 9. Mathematics and social science. 9.1. Basic concepts in axiomatic set theory. 9.2. Individuals and rationality. 9.3. Society and values -- 10. Concluding discussions. 10.1. Fixed points and economic equilibria. 10.2. Rationality and fixed-point views of the world
| Author | : Karl Vind |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 2012-11-06 |
| Genre | : Business & Economics |
| ISBN | : 3540247572 |
Volume 14 in the Studies in Economic Theory series deals with the important economic problem of uncertainty. It contains all the classical results, but also new results that give a solution to how uncertainty can be formalized.
| Author | : Dionysius Glycopantis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 656 |
| Release | : 2005-12-28 |
| Genre | : Business & Economics |
| ISBN | : 3540269797 |
One of the main problems in current economic theory is to write contracts which are Pareto optimal, incentive compatible, and also implementable as a perfect Bayesian equilibrium of a dynamic, noncooperative game. The question arises whether it is possible to provide Walrasian type or cooperative equilibrium concepts which have these properties. This volume contains original contributions on noncooperative and cooperative equilibrium notions in economies with differential information and provides answers to the above questions. Moreover, issues of stability, learning and continuity of alternative equilibria are also examined.
| Author | : Timothy Cason |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 255 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642564488 |
Experimental methods are now a mainstream empirical methodology in economics. The papers in this volume represent some recent developments in research on experimental markets. The articles span a variety of topics related to experimental markets, including auctions, taxation, institutional differences, coordination in markets, and learning. Contributors to the volume include many of the most distinguished researchers in the area.
| Author | : Charalambos D. Aliprantis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 733 |
| Release | : 2013-11-11 |
| Genre | : Business & Economics |
| ISBN | : 3662058588 |
A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.
| Author | : Fuad Aleskerov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 226 |
| Release | : 2013-04-18 |
| Genre | : Business & Economics |
| ISBN | : 3662049929 |
The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.
