Individual Choice Under Certainty and Uncertainty


Book Description

The third volume of Arrow's Collected Papers concerns the basic concept of rationality as it applies to an economic decision maker. In particular, it addresses the problem of choice faced by consumers in a multicommodity world and presents specific models of choice useful in economic analysis. It also discusses choice models under uncertainty.




General Equilibrium


Book Description

The publication of Arrow's collected papers will be welcomed by economists and other social scientists and in particular by graduate students, who can draw from them the knowledge and the discernment in selection of scientific problems that only a master can offer. The author has added headnotes to certain well-known papers, describing his process.




General Equilibrium and Game Theory


Book Description

Andreu Mas-Colell revolutionized our understanding of competitive markets, price formation, and the behavior of market participants. This volume presents the papers that solidified his standing as one of the preeminent economic theorists of our time. It also is invaluable for anyone wishing to study the craft of a master of economic modeling.







General Equilibrium Theory


Book Description

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.




Finding Equilibrium


Book Description

The remarkable story and personalities behind one of the most important theories in modern economics Finding Equilibrium explores the post–World War II transformation of economics by constructing a history of the proof of its central dogma—that a competitive market economy may possess a set of equilibrium prices. The model economy for which the theorem could be proved was mapped out in 1954 by Kenneth Arrow and Gerard Debreu collaboratively, and by Lionel McKenzie separately, and would become widely known as the "Arrow-Debreu Model." While Arrow and Debreu would later go on to win separate Nobel prizes in economics, McKenzie would never receive it. Till Düppe and E. Roy Weintraub explore the lives and work of these economists and the issues of scientific credit against the extraordinary backdrop of overlapping research communities and an economics discipline that was shifting dramatically to mathematical modes of expression. Based on recently opened archives, Finding Equilibrium shows the complex interplay between each man's personal life and work, and examines compelling ideas about scientific credit, publication, regard for different research institutions, and the awarding of Nobel prizes. Instead of asking whether recognition was rightly or wrongly given, and who were the heroes or villains, the book considers attitudes toward intellectual credit and strategies to gain it vis-à-vis the communities that grant it. Telling the story behind the proof of the central theorem in economics, Finding Equilibrium sheds light on the changing nature of the scientific community and the critical connections between the personal and public rewards of scientific work.




The Rate and Direction of Inventive Activity


Book Description

The papers here range from description and analysis of how our political economy allocates its inventive effort, to studies of the decision making process in specific industrial laboratories. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




Collected Papers on Monetary Theory


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.




The Collected Papers of Stephen Smale


Book Description

This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.