Aumann, Robert J.
Overview
Works:  190 works in 512 publications in 7 languages and 5,260 library holdings 

Genres:  Biographical films Personal narratives Documentary films Nonfiction films Historical films Conference papers and proceedings 
Roles:  Author, Editor, Collector, Honoree, Compiler, Contributor, Other, Scientific advisor 
Classifications:  QA269, 519.3 
Publication Timeline
.
Most widely held works about
Robert J Aumann
 Game and economic theory : selected contributions in honor of Robert J. Aumann by Sergiu Hart( Book )
 On Aumann's markets with a continuum of traders : the continuum, small group effectiveness, and social homogeneity by Myrna Holtz Wooders( Book )
 How canonical is the canonical model? : a comment on Aumann's interactive epistemology by Aviad Heifetz( Book )
 Aumann, Robert John : Game Theory, Mathematical Economics( )
 Alvin Roth papers by Alvin Roth( )
 Nobel for Jerusalem : Professor Robert J. Aumann wins Nobel Prize in economics by Universiṭah haʻIvrit biYerushalayim( Book )
more
fewer
Most widely held works by
Robert J Aumann
Handbook of game theory with economic applications by
Robert J Aumann(
Book
)
111 editions published between 1991 and 2015 in 4 languages and held by 963 WorldCat member libraries worldwide
This is the third volume of the Handbook of Game Theory with Economic Applications. Since the publication of multiVolume 1 a decade ago, game theory has continued to develop at a furious pace, and today it is the dominant tool in economic theory. The three volumes together cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science and individual chapters on applications to disciplines as diverse as evolutionary biology, computer science, law, psychology and ethics. The authors are the most eminent practitioners in the field, including three Nobel Prize winners. The topics covered in the present volume include strategic ("Nash") equilibrium; incomplete information; twoperson nonzerosum games; noncooperative games with a continuum of players; stochastic games; industrial organization; bargaining, inspection; economic history; the Shapley value and its applications to perfectly competitive economies, to taxation, to public goods and to fixed prices; political science; law mechanism design; and game experimentation
111 editions published between 1991 and 2015 in 4 languages and held by 963 WorldCat member libraries worldwide
This is the third volume of the Handbook of Game Theory with Economic Applications. Since the publication of multiVolume 1 a decade ago, game theory has continued to develop at a furious pace, and today it is the dominant tool in economic theory. The three volumes together cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science and individual chapters on applications to disciplines as diverse as evolutionary biology, computer science, law, psychology and ethics. The authors are the most eminent practitioners in the field, including three Nobel Prize winners. The topics covered in the present volume include strategic ("Nash") equilibrium; incomplete information; twoperson nonzerosum games; noncooperative games with a continuum of players; stochastic games; industrial organization; bargaining, inspection; economic history; the Shapley value and its applications to perfectly competitive economies, to taxation, to public goods and to fixed prices; political science; law mechanism design; and game experimentation
Values of nonatomic games by
Robert J Aumann(
Book
)
28 editions published between 1969 and 2016 in English and Russian and held by 535 WorldCat member libraries worldwide
A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance; such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions (measurable sets) of players, but also certain 'ideal' coalitionsintuitively, sets to which a player can 'belong' at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a player's value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. (Author)
28 editions published between 1969 and 2016 in English and Russian and held by 535 WorldCat member libraries worldwide
A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance; such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions (measurable sets) of players, but also certain 'ideal' coalitionsintuitively, sets to which a player can 'belong' at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a player's value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. (Author)
Advances in game theory by
Melvin Dresher(
Book
)
15 editions published between 1950 and 1985 in English and Undetermined and held by 532 WorldCat member libraries worldwide
The book description for the forthcoming "Advances in Game Theory. (AM52)" is not yet available
15 editions published between 1950 and 1985 in English and Undetermined and held by 532 WorldCat member libraries worldwide
The book description for the forthcoming "Advances in Game Theory. (AM52)" is not yet available
Repeated games with incomplete information by
Robert J Aumann(
Book
)
11 editions published in 1995 in English and held by 419 WorldCat member libraries worldwide
During the height of the Cold War, between 1965 and 1968, Robert Aumann, Michael Maschler, and Richard Stearns collaborated on research on the dynamics of arms control negotiations that has since become foundational to work on repeated games. These five seminal papers are collected here for the first time, with the addition of "postscripts" describing many of the developments since the papers were written. The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others
11 editions published in 1995 in English and held by 419 WorldCat member libraries worldwide
During the height of the Cold War, between 1965 and 1968, Robert Aumann, Michael Maschler, and Richard Stearns collaborated on research on the dynamics of arms control negotiations that has since become foundational to work on repeated games. These five seminal papers are collected here for the first time, with the addition of "postscripts" describing many of the developments since the papers were written. The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others
Lectures on game theory by
Robert J Aumann(
Book
)
17 editions published between 1975 and 1991 in 3 languages and held by 299 WorldCat member libraries worldwide
17 editions published between 1975 and 1991 in 3 languages and held by 299 WorldCat member libraries worldwide
Game and economic theory : selected contributions in honor of Robert J. Aumann by
Sergiu Hart(
Book
)
9 editions published between 1995 and 1998 in English and held by 240 WorldCat member libraries worldwide
Game and Economic Theory studies the interaction of decision makers whose decisions affect each other. The analysis is from a rational viewpoint: every participant would like to obtain the outcome that they prefer most. However, each one has to take into account that the others are doing the same  trying to get what they prefer most. At times this leads to fierce competition; at other times, to mutually beneficial cooperation; and in general, to an appropriate combination of these two extreme behaviors. Game theory, which may be viewed as a sort of "unified field" theory for the rational side of social science, develops the theoretical foundations for the analysis of such multiperson interactive situations and then applies these to many disciplines: economics, political science, biology, psychology, computer science, statistics, and law. Foremost among these is economic theory, where game theory is playing a central role
9 editions published between 1995 and 1998 in English and held by 240 WorldCat member libraries worldwide
Game and Economic Theory studies the interaction of decision makers whose decisions affect each other. The analysis is from a rational viewpoint: every participant would like to obtain the outcome that they prefer most. However, each one has to take into account that the others are doing the same  trying to get what they prefer most. At times this leads to fierce competition; at other times, to mutually beneficial cooperation; and in general, to an appropriate combination of these two extreme behaviors. Game theory, which may be viewed as a sort of "unified field" theory for the rational side of social science, develops the theoretical foundations for the analysis of such multiperson interactive situations and then applies these to many disciplines: economics, political science, biology, psychology, computer science, statistics, and law. Foremost among these is economic theory, where game theory is playing a central role
Life is strange(
Visual
)
1 edition published in 2011 in English and held by 205 WorldCat member libraries worldwide
While these are the stories of Jewish people who were displaced by the Second World War, the film concentrates on the vibrant cultural and family life they experienced in their youth that ultimately was most influential in their lives. It explores the connection between old age and childhood, asking questions about what remains of childhood in our later years, as well as engaging interesting issues of selfidentity, Jewish identity, and the struggle to make any sense of the experience
1 edition published in 2011 in English and held by 205 WorldCat member libraries worldwide
While these are the stories of Jewish people who were displaced by the Second World War, the film concentrates on the vibrant cultural and family life they experienced in their youth that ultimately was most influential in their lives. It explores the connection between old age and childhood, asking questions about what remains of childhood in our later years, as well as engaging interesting issues of selfidentity, Jewish identity, and the struggle to make any sense of the experience
Collected papers by
Robert J Aumann(
Book
)
1 edition published in 2000 in English and held by 195 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 195 WorldCat member libraries worldwide
Essays in game theory and mathematical economics in honor of Oskar Morgenstern(
Book
)
9 editions published in 1981 in English and German and held by 172 WorldCat member libraries worldwide
9 editions published in 1981 in English and German and held by 172 WorldCat member libraries worldwide
Topics in mathematical economics and game theory : essays in honor of Robert J. Aumann by
Myrna Holtz Wooders(
Book
)
6 editions published in 1999 in English and held by 163 WorldCat member libraries worldwide
6 editions published in 1999 in English and held by 163 WorldCat member libraries worldwide
Homotopy theory by
George W Whitehead(
Book
)
13 editions published between 1953 and 1966 in English and held by 72 WorldCat member libraries worldwide
This book consists of notes for a secondyear graduate course in advanced topology given by Professor Whitehead at M.I.T. Presupposing a knowledge of the fundamental group and of algebraic topology as far as singular theory, it is designed to introduce the student to some of the more important concepts of homotopy theory. The book emphasizes (relative) CWcomplexes, which the author believes to be the natural setting for obstruction theory, and follows the spirit of J.H.C. Whitehead's "combinatorial homotopy."
13 editions published between 1953 and 1966 in English and held by 72 WorldCat member libraries worldwide
This book consists of notes for a secondyear graduate course in advanced topology given by Professor Whitehead at M.I.T. Presupposing a knowledge of the fundamental group and of algebraic topology as far as singular theory, it is designed to introduce the student to some of the more important concepts of homotopy theory. The book emphasizes (relative) CWcomplexes, which the author believes to be the natural setting for obstruction theory, and follows the spirit of J.H.C. Whitehead's "combinatorial homotopy."
La société du probable les mathématiques sociales après Augustin Cournot : conférence du Centre Cournot pour la recherche
en économie by
Centre Cournot pour la recherche en économie(
Book
)
6 editions published in 2007 in French and held by 65 WorldCat member libraries worldwide
6 editions published in 2007 in French and held by 65 WorldCat member libraries worldwide
Handbook of game theory with economic applications(
Book
)
12 editions published between 2002 and 2007 in English and held by 42 WorldCat member libraries worldwide
12 editions published between 2002 and 2007 in English and held by 42 WorldCat member libraries worldwide
Models of gradual reduction of arms by
Inc Mathematica(
Book
)
3 editions published in 1967 in English and held by 41 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 41 WorldCat member libraries worldwide
The Indirect measurement of utility by Mathematica (Firm)(
Book
)
2 editions published in 1968 in English and held by 41 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 41 WorldCat member libraries worldwide
Values of nonatomic games, Part V: monetary economics by
Robert J Aumann(
Book
)
3 editions published between 1971 and 1973 in English and held by 26 WorldCat member libraries worldwide
The report concludes a fivepart series on the mathematical theory of nonatomic games. The term nonatomic, borrowed from measure theory and probability theory, signifies that in these games with infinitely many participants, no single individual is big enough to influence the outcome by himself. Such games have served as mathematical models for largescale competitive systems in economics or politics. In this report the applications of the theory to a class of economics models are developed
3 editions published between 1971 and 1973 in English and held by 26 WorldCat member libraries worldwide
The report concludes a fivepart series on the mathematical theory of nonatomic games. The term nonatomic, borrowed from measure theory and probability theory, signifies that in these games with infinitely many participants, no single individual is big enough to influence the outcome by himself. Such games have served as mathematical models for largescale competitive systems in economics or politics. In this report the applications of the theory to a class of economics models are developed
Collected papers by
Robert J Aumann(
Book
)
8 editions published in 2000 in English and held by 25 WorldCat member libraries worldwide
8 editions published in 2000 in English and held by 25 WorldCat member libraries worldwide
Collected papers by
Robert J Aumann(
Book
)
6 editions published in 2000 in English and held by 20 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 20 WorldCat member libraries worldwide
Values of nonatomic games : IV: the value and the core by
Robert J Aumann(
Book
)
7 editions published between 1969 and 1970 in English and held by 18 WorldCat member libraries worldwide
The value of an nperson game is a function that associates to each player a number that, intuitively speaking, represents an a priori opinion of what it is worth to him to play in the game. A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance. The relationship between the value and another solution concept is developed. The core of a game is the set of outcomes that, intuitively speaking, no coalition of players can improve upon. The core is a basic concept that has been studied widely by both game theorists and economists. The main object of the present paper is to prove that under suitable assumptions, the core of a nonatomic game consists of a single outcome, and that this outcome coincides with the value. The assumptions (superadditivity and homogeneity of degree 1) are satisfied in many cases of interest, including a basic economic application. (Author)
7 editions published between 1969 and 1970 in English and held by 18 WorldCat member libraries worldwide
The value of an nperson game is a function that associates to each player a number that, intuitively speaking, represents an a priori opinion of what it is worth to him to play in the game. A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance. The relationship between the value and another solution concept is developed. The core of a game is the set of outcomes that, intuitively speaking, no coalition of players can improve upon. The core is a basic concept that has been studied widely by both game theorists and economists. The main object of the present paper is to prove that under suitable assumptions, the core of a nonatomic game consists of a single outcome, and that this outcome coincides with the value. The assumptions (superadditivity and homogeneity of degree 1) are satisfied in many cases of interest, including a basic economic application. (Author)
Contributions to the theory of games(
)
1 edition published in 1959 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 0 WorldCat member libraries worldwide
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fewer
Audience Level
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Related Identities
 Hart, Sergiu Editor
 Shapley, Lloyd S. 19232016 Editor
 Dresher, Melvin Author Editor
 Young, H. Peyton 1945
 Zamir, Shmuel
 Maschler, Michael 19272008 Honoree
 Stearns, R. E. Contributor
 Neyman, Abraham Editor
 Kohn, Walter 19232016
 Peres, Shimon 19232016
Useful Links
Associated Subjects
Arms controlSimulation methods Aumann, Robert J Awards Axiomatic set theory Canada College teachers CompetitionMathematical models Comte, Auguste, Cournot, A. A.(Antoine Augustin), DisarmamentMathematical models DisarmamentSimulation methods Econometric models Economics Economics, Mathematical EconomicsExperiments EconomicsMathematical models EconomicsMethodology EconomicsStudy and teaching Europe Game theory Holocaust survivors Homotopy theory Jewish children Jewish children in the Holocaust Jews JewsIdentity JewsSocial life and customs Management Management games Matching theory Morgenstern, Oskar, NegotiationMathematical models Nobel Prize winners Research Scientists Small groupsMathematical models Social sciencesMathematics Teachers Topology United States Universities and collegesFaculty World War (19391945)
Alternative Names
Auman, R.
Aumann, Israel Robert John
Aumann, Israel Robert John 1930
Aumann, R. J.
Aumann, R.J. 1930
Aumann, R. J. (Robert J.)
Aumann, Robert
Aumann, Robert 1930
Aumann, Robert J.
Aumann, Robert John 1930
Israel Robert Aumann
Robert Aumann amerikansk ekonom och matematiker
Robert Aumann amerikansk økonom og matematiker
Robert Aumann israelischUSamerikanischer Mathematiker
Robert Aumann izraelski matematyk, noblista
Robert Aumann matematico israeliano
Robert Aumann mathématicien et économiste américanoisraélien
Robert Aumann wiskundige uit Israël
Robert J. Aumann
Robert J. Aumann amerikansk økonom og matematikar
Roberts Aumans
Robertus Aumann
ʾWman Rwberṭ Yiśraʾel 1930....
ʾWman Yiśraʾel 1930....
Ауман Роберт
Роберт Ауман
Ісраель Ауманн
Ռոբերտ Աուման
אומן ישראל 1930....
אומן, רוברט ישראל
אומן רוברט ישראל 1930....
ישראל אוימאן
ישראל אומן
ישראל אומן מתמטיקאי ישראלי אמריקאי
رابرٹ اومن
رابرٹ آئیومان
روبرت أومان
روبرت اوئمان ریاضیدان و اقتصاددان آمریکایی
रॉबर्ट औमान्न
রবার্ট আউমান
რობერტ აუმანი
로버트 아우만
オーマン, R. J.
ロバート・オーマン
罗伯特·约翰·奥曼
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