Advances in Economic Theory
| Author | : Truman Fassett Bewley |
| Publisher | : CUP Archive |
| Total Pages | : 452 |
| Release | : 1989-07-28 |
| Genre | : Business & Economics |
| ISBN | : 9780521389259 |
These articles should be helpful to anyone with training in economics.
Advances In Equilibrium Theory
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General Equilibrium Theory of Value
| Author | : Yves Balasko |
| Publisher | : Princeton University Press |
| Total Pages | : 188 |
| Release | : 2011-07-25 |
| Genre | : Business & Economics |
| ISBN | : 1400838916 |
The concept of general equilibrium, one of the central components of economic theory, explains the behavior of supply, demand, and prices by showing that supply and demand exist in balance through pricing mechanisms. The mathematical tools and properties for this theory have developed over time to accommodate and incorporate developments in economic theory, from multiple markets and economic agents to theories of production. Yves Balasko offers an extensive, up-to-date look at the standard theory of general equilibrium, to which he has been a major contributor. This book explains how the equilibrium manifold approach can be usefully applied to the general equilibrium model, from basic consumer theory and exchange economies to models with private ownership of production. Balasko examines properties of the standard general equilibrium model that are beyond traditional existence and optimality. He applies the theory of smooth manifolds and mappings to the multiplicity of equilibrium solutions and related discontinuities of market prices. The economic concepts and differential topology methods presented in this book are accessible, clear, and relevant, and no prior knowledge of economic theory is necessary. General Equilibrium Theory of Value offers a comprehensive foundation for the most current models of economic theory and is ideally suited for graduate economics students, advanced undergraduates in mathematics, and researchers in the field.
Competitive Equilibrium
| Author | : Bryan Ellickson |
| Publisher | : Cambridge University Press |
| Total Pages | : 424 |
| Release | : 1993 |
| Genre | : Business & Economics |
| ISBN | : 9780521319881 |
The development of general equilibrium theory represents one of the greatest advances in economic analysis in the latter half of the twentieth century. This book, intended for advanced undergraduates and graduate students, provides a broad introduction to competitive equilibrium analysis with an emphasis on concrete applications. The first three chapters are introductory in nature, paving the way for the more advanced second half of the book. Relative to the competition, it is much more 'user friendly' while offering exceptionally broad coverage of topics. Well-designed and interesting applications help to make potentially abstract material more accessible. The book includes 92 illustrations and nearly 200 exercises.
The Theory of General Economic Equilibrium
| Author | : Andreu Mas-Colell |
| Publisher | : Cambridge University Press |
| Total Pages | : 396 |
| Release | : 1985 |
| Genre | : Business & Economics |
| ISBN | : 9780521388702 |
This book brings together the author's pioneering work, written over the last twenty years, on the use of differential methods in general equilibrium theory.
General Equilibrium
| Author | : Yves Balasko |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2020 |
| Genre | : Equilibrium (Economics). |
| ISBN | : 9781788210409 |
Written by one of the key pioneers in the field, this book offers an accessible introduction to general equilibrium theory. Written for undergraduates taking courses in economic theory and modelling who have limited mathematical proficiency, the book fills a gap between forbidding technical expositions and the less rigorous elementary ones.
General Equilibrium Theory
| Author | : Ross M. Starr |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 1997-07-13 |
| Genre | : Business & Economics |
| ISBN | : 9780521564731 |
General Equilibrium Theory: An Introduction treats the classic Arrow-Debreu general equilibrium model in a form accessible to graduate students and advanced undergraduates in economics and mathematics. Topics covered include mathematical preliminaries, households and firms, existence of general equilibrium, Pareto efficiency of general equilibrium, the First and Second Fundamental Theorems of Welfare Economics, the core and core convergences, future markets over time and contingent commodity markets under uncertainty. Demand, supply, and excess demand appear first as (point-valued) functions, then optionally as (set-valued) correspondences. The mathematics presented (with elementary proofs of the theorems) includes a real analysis, the Brouwer fixed point theorem, and separating and supporting hyperplane theorems. Optional chapters introduce the existence of equilibrium with set-valued supply and demand, the mathematics of upper and lower hemicontinuous correspondences, and the Kakutani fixed point theorem. The treatment emphasizes clarity and accessibility to the student through use of examples and intuition.
Advanced Fixed Point Theory for Economics
| Author | : Andrew McLennan |
| Publisher | : Springer |
| Total Pages | : 441 |
| Release | : 2018-07-03 |
| Genre | : Business & Economics |
| ISBN | : 9811307105 |
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 outstanding text for advanced graduate courses in economics and related disciplines.
General Equilibrium
| Author | : W. D. A. Bryant |
| Publisher | : World Scientific |
| Total Pages | : 492 |
| Release | : 2010 |
| Genre | : Business & Economics |
| ISBN | : 9812818340 |
"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.
General Equilibrium, Overlapping Generations Models, and Optimal Growth Theory
| Author | : Truman F. Bewley |
| Publisher | : Harvard University Press |
| Total Pages | : 615 |
| Release | : 2009-07-01 |
| Genre | : Business & Economics |
| ISBN | : 0674020928 |
This book presents an original exposition of general equilibrium theory for advanced undergraduate and graduate-level students of economics. It contains detailed discussions of economic efficiency, competitive equilibrium, the first and second welfare theorems, the Kuhn-Tucker approach to general equilibrium, the Arrow-Debreu model, and rational expectations equilibrium and the permanent income hypothesis. Truman Bewley also treats optimal growth and overlapping generations models as special cases of the general equilibrium model. He uses the model and the first and second welfare theorems to explain the main ideas of insurance, capital theory, growth theory, and social security. It enables him to present a unified approach to portions of macro- as well as microeconomic theory. The book contains problems sets for most chapters.
Refinements of the Nash Equilibrium Concept
| Author | : E. van Damme |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 161 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642499708 |
In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem arises which one of these should be chosen as the solution. It was first pointed out explicitly in SELTEN [1965J that I not all Nash equilibria of an extensive form game are qualified to be selected as the solution, since an equilibrium may prescribe irrational behavior at unreached parts of the game tree. Moreover, also for normal form games not all Nash equilibria are eligible, since an equilibrium need not be robust with respect to slight perturba tions in the data of the game. These observations lead to the conclusion that the Nash equilibrium concept has to be refined in order to obtain sensible solutions for every game. In the monograph, various refinements of the Nash equilibrium concept are studied. Some of these have been proposed in the literature, but others are presented here for the first time. The objective is to study the relations between these refine ments;to derive characterizations and to discuss the underlying assumptions. The greater part of the monograph (the chapters 2-5) is devoted to the study of normal form games. Extensive form games are considered in chapter 6.
