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The Economics and Mathematics of Aggregation

The Economics and Mathematics of Aggregation PDF Author: Pierre-André Chiappori
Publisher: Now Publishers Inc
ISBN: 1601982887
Category : Efficient market theory
Languages : en
Pages : 165

Book Description
The Economics and Mathematics of Aggregation provides a general characterization of group behavior in a market environment. A crucial feature of the authors' approach is that they do not restrict the form of individual preferences or the nature of individual consumptions. The authors allow for public as well as private consumption, for intragroup production, and for any type of consumption externalities across group members. The main questions addressed are: what restrictions (if any) on the aggregate demand function characterize the efficient behavior of the group and when is it possible to recover the underlying structure - namely, individual preferences, the decision process and the resulting intragroup transfers - from the group's aggregate behavior? The Economics and Mathematics of Aggregation takes an alternative, axiomatic perspective -- the 'collective' approach -- and assumes that the group always reaches Pareto efficient decisions. The authors view efficiency as a natural assumption in many contexts and as a natural benchmark in all cases. Finally, even in the presence of asymmetric information, first best efficiency is a natural benchmark. However, it is important to note that no restriction is placed on the form of the decision process beyond efficiency.

The Economics and Mathematics of Aggregation

The Economics and Mathematics of Aggregation PDF Author: Pierre-André Chiappori
Publisher: Now Publishers Inc
ISBN: 1601982887
Category : Efficient market theory
Languages : en
Pages : 165

Book Description
The Economics and Mathematics of Aggregation provides a general characterization of group behavior in a market environment. A crucial feature of the authors' approach is that they do not restrict the form of individual preferences or the nature of individual consumptions. The authors allow for public as well as private consumption, for intragroup production, and for any type of consumption externalities across group members. The main questions addressed are: what restrictions (if any) on the aggregate demand function characterize the efficient behavior of the group and when is it possible to recover the underlying structure - namely, individual preferences, the decision process and the resulting intragroup transfers - from the group's aggregate behavior? The Economics and Mathematics of Aggregation takes an alternative, axiomatic perspective -- the 'collective' approach -- and assumes that the group always reaches Pareto efficient decisions. The authors view efficiency as a natural assumption in many contexts and as a natural benchmark in all cases. Finally, even in the presence of asymmetric information, first best efficiency is a natural benchmark. However, it is important to note that no restriction is placed on the form of the decision process beyond efficiency.

Aggregation in Economic Analysis

Aggregation in Economic Analysis PDF Author: H.A. John Green
Publisher: Princeton University Press
ISBN: 1400876664
Category : Business & Economics
Languages : en
Pages : 140

Book Description
Professor Green discusses the definition of consistent aggregation and the problem of grouping variables in a single equation; he deals with the aggregation of equations and the probable errors; and summarizes, with reference to the text, the considerations involved in selecting an appropriate form of aggregation. The author's survey presents a well-balanced overview and analysis of aggregation, and makes readily accessible for the first time much material otherwise difficult to obtain. Originally published in 1964. 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.

Isolation and Aggregation in Economics

Isolation and Aggregation in Economics PDF Author: Ekkehart Schlicht
Publisher: Springer Science & Business Media
ISBN: 3642702988
Category : Business & Economics
Languages : en
Pages : 119

Book Description
In order to solve a given problem, economic analysis is com pelled to concentrate on the interaction of selected factors while disregarding a multitude of other influences. This book offers a discussion of certain central premises involved here and draws some analytical consequences. The argument is fo cused on process analysis, i.e., on the analysis of economic processes within a given institutional setting, although certain corollaries for institutional analysis are patent. Many colleagues and students have helped me, for many years, to develop the views presented here, and it seems im possible to trace individual influences. Thus I can only ex press my indebtedness in a macro sense. I wish to thank the Westdeutscher Verlag for its kind per mission to use material from my Grundlagen der okonomi schen Analyse. The results of Chap. 4 were presented at the Econometric Society European Meeting in Pisa, 1983. Dr. W.A. MUller from Springer-Verlag has encouraged me to write this book and has been helpful in many ways.

Mathematical Economics

Mathematical Economics PDF Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230577326
Category :
Languages : en
Pages : 112

Book Description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 44. Chapters: Agent-based computational economics, Aggregation problem, Brander-Spencer model, Comparative statics, Confrontation analysis, Convexity in economics, DNSS point, Elasticity of a function, Foundations of Economic Analysis, Game theory, Historical simulation, Isoelastic function, Kakutani fixed-point theorem, Maximum theorem, Non-convexity (economics), Perfect competition, Qualitative economics, Recursive economics, Sethi model, Shadow price, Shapley-Folkman lemma, Social Choice and Individual Values, St. Petersburg paradox, Topkis's theorem, Transportation theory (mathematics).

Aggregation Functions

Aggregation Functions PDF Author: Michel Grabisch
Publisher: Cambridge University Press
ISBN: 0521519268
Category : Computers
Languages : en
Pages : 481

Book Description
A rigorous and self-contained exposition of aggregation functions and their properties.

Aggregation and the Microfoundations of Dynamic Macroeconomics

Aggregation and the Microfoundations of Dynamic Macroeconomics PDF Author: Mario Forni
Publisher: Oxford University Press
ISBN: 9780198288008
Category : Business & Economics
Languages : en
Pages : 264

Book Description
Through careful methodological analysis, this book argues that modern macroeconomics has completely overlooked the aggregate nature of the data. In Part I, the authors test and reject the homogeneity assumption using disaggregate data. In Part II, they demonstrate that apart from random flukes, cointegration unidirectional Granger causality and restrictions on parameters do not survive aggregation when heterogeneity is introduced. They conclude that the claim that modern macroeconomics has solid microfoundations is unwarranted. However, some important theory-based models that do not fit aggregate data well in their representative-agent version can be reconciled with aggregate data by introducing heterogeneity.

Clustering and Aggregation in Economics

Clustering and Aggregation in Economics PDF Author: Walter Dummer Fisher
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 216

Book Description


Aggregation in Economic Analysis

Aggregation in Economic Analysis PDF Author: H. A. John Green
Publisher:
ISBN: 9780691041001
Category :
Languages : en
Pages :

Book Description
Professor Green discusses the definition of consistent aggregation and the problem of grouping variables in a single equation; he deals with the aggregation of equations and the probable errors; and summarizes, with reference to the text, the considerations involved in selecting an appropriate form of aggregation. The author's survey presents a well-balanced overview and analysis of aggregation, and makes readily accessible for the first time much material otherwise difficult to obtain. Originally published in 1964. 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.

Judgment Aggregation

Judgment Aggregation PDF Author: Davide Kantarcioglu
Publisher: Springer Nature
ISBN: 3031015681
Category : Computers
Languages : en
Pages : 133

Book Description
Judgment aggregation is a mathematical theory of collective decision-making. It concerns the methods whereby individual opinions about logically interconnected issues of interest can, or cannot, be aggregated into one collective stance. Aggregation problems have traditionally been of interest for disciplines like economics and the political sciences, as well as philosophy, where judgment aggregation itself originates from, but have recently captured the attention of disciplines like computer science, artificial intelligence and multi-agent systems. Judgment aggregation has emerged in the last decade as a unifying paradigm for the formalization and understanding of aggregation problems. Still, no comprehensive presentation of the theory is available to date. This Synthesis Lecture aims at filling this gap presenting the key motivations, results, abstractions and techniques underpinning it. Table of Contents: Preface / Acknowledgments / Logic Meets Social Choice Theory / Basic Concepts / Impossibility / Coping with Impossibility / Manipulability / Aggregation Rules / Deliberation / Bibliography / Authors' Biographies / Index

Arrovian Aggregation Models

Arrovian Aggregation Models PDF Author: Fuad T. Aleskerov
Publisher: Springer Science & Business Media
ISBN: 9780792384519
Category : Business & Economics
Languages : en
Pages : 260

Book Description
Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment of the alternatives (or pairs of alternatives, or sets of alternatives, etc.) in aggregation procedures. Remaining within the framework of the axiomatic approach and based on the consideration of local rules, Arrovian Aggregation Models investigates three formulations of the aggregation problem according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. In other words, we study three aggregation models. What is common between them is that in all models some analogue of the Independence of Irrelevant Alternatives condition is used, which is why we call these models Arrovian aggregation models. Chapter 1 presents a general description of the problem of axiomatic synthesis of local rules, and introduces problem formulations for various versions of formalization of individual opinions and collective decision. Chapter 2 formalizes precisely the notion of `rationality' of individual opinions and social decision. Chapter 3 deals with the aggregation model for the case of individual opinions and social decisions formalized as binary relations. Chapter 4 deals with Functional Aggregation Rules which transform into a social choice function individual opinions defined as choice functions. Chapter 5 considers another model – Social Choice Correspondences when the individual opinions are formalized as binary relations, and the collective decision is looked for as a choice function. Several new classes of rules are introduced and analyzed.