Handbook of Mathematical Economics: Historical introduction. Mathematical methods in economics PDF Download
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Author: Kenneth Joseph Arrow Publisher: ISBN: Category : Economics, Mathematical Languages : en Pages : 788
Book Description
V.1. Historical introduction. v.2. Mathematical approaches to microeconomic the ory. v.3. Mathematical approaches to welfare economics.
Author: Kenneth Joseph Arrow Publisher: ISBN: Category : Economics, Mathematical Languages : en Pages : 788
Book Description
V.1. Historical introduction. v.2. Mathematical approaches to microeconomic the ory. v.3. Mathematical approaches to welfare economics.
Author: Robert J. Aumann Publisher: MIT Press ISBN: 9780262011556 Category : Business & Economics Languages : en Pages : 818
Book Description
Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
Author: Lars Ljungqvist Publisher: MIT Press ISBN: 9780262122740 Category : Business & Economics Languages : en Pages : 1120
Book Description
A significant new edition of a text that offers both tools and sample applications; extensive revisions and seven new chapters improve and expand upon the original treatment.
Author: Takashi Suzuki Publisher: World Scientific ISBN: 981121963X Category : Business & Economics Languages : en Pages : 436
Book Description
The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.
Author: Robert E. Lucas Jr. Publisher: Harvard University Press ISBN: 0674071212 Category : Business & Economics Languages : en Pages : 517
Book Description
Robert Lucas is one of the outstanding monetary theorists of the past hundred years. Along with Knut Wicksell, Irving Fisher, John Maynard Keynes, James Tobin, and Milton Friedman (his teacher), Lucas revolutionized our understanding of how money interacts with the real economy of production, consumption, and exchange. Lucas’s contributions are both methodological and substantive. Methodologically, he developed dynamic, stochastic, general equilibrium models to analyze economic decision-makers operating through time in a complex, probabilistic environment. Substantively, he incorporated the quantity theory of money into these models and derived its implications for money growth, inflation, and interest rates in the long run. He also showed the different effects of anticipated and unanticipated changes in the stock of money on economic fluctuations, and helped to demonstrate that there was not a long-run trade-off between unemployment and inflation (the Phillips curve) that policy-makers could exploit. The twenty-one papers collected in this volume fall primarily into three categories: core monetary theory and public finance, asset pricing, and the real effects of monetary instability. Published between 1972 and 2007, they will inspire students and researchers who want to study the work of a master of economic modeling and to advance economics as a pure and applied science.
Author: Kenneth Joseph Arrow
Author: Kenneth Joseph Arrow
Author: Gerhard Glomm
Author: Robert J. Aumann
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Author: Lars Ljungqvist
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Author: Karl Shell
Author: Takashi Suzuki
Author: Theo S. Eicher
Author: Robert E. Lucas Jr.