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Aumann, Robert John

Author ID: aumann.robert-john Recent zbMATH articles by "Aumann, Robert John"
Published as: Aumann, Robert J.; Aumann, R. J.; Aumann, Robert; Aumann, Robert John
Homepage: http://www.ma.huji.ac.il/~raumann/
External Links: MGP · Wikidata · dblp · GND · IdRef
Awards: Nobel Memorial Prize in Economic Sciences (2005)
Documents Indexed: 87 Publications since 1956, including 4 Books
3 Contributions as Editor · 4 Further Contributions
Biographic References: 10 Publications
Co-Authors: 22 Co-Authors with 35 Joint Publications
553 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 5,589 times in 4,456 Documents Cited by Year
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
574
1965
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
484
1963
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
357
1976
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
342
1988
Markets with a continuum of traders. Zbl 0137.39003
Aumann, R. J.
341
1964
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
306
1985
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
302
1974
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
271
1987
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
261
1974
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
246
1974
Acceptable points in general cooperative \(n\)-person games. Zbl 0085.13005
Aumann, Robert J.
245
1959
Utility theory without the completeness axiom. Zbl 0121.15202
Aumann, R. J.
182
1962
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
153
1995
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
140
1964
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
135
1966
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
118
1995
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
97
1995
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
94
1961
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
85
1999
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
75
1960
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
65
1964
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
61
2003
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
60
1989
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
58
1985
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
51
2008
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
51
1965
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
50
1994
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
46
1975
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
43
1969
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
41
1999
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
38
1986
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
34
1981
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
27
1992
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
27
1997
Endogenous formation of links between players and of coalitions: an application of the Shapley value. Zbl 0712.90098
Aumann, Robert J.; Myerson, Roger B.
27
1989
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
27
1977
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
27
1972
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
25
1997
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
24
1974
On the centipede game. Zbl 0911.90354
Aumann, Robert J.
23
1998
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
23
1990
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
23
1961
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
20
1983
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
20
1964
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
19
1985
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
19
1960
Acceptable points in general cooperative \(n\)-person games. Zbl 1054.91502
Aumann, Robert J.
17
1999
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
17
1998
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
17
1961
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
15
1986
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
14
1977
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
13
1956
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
13
1976
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
10
2002
A method for computing the kernel of \(n\)-person games. Zbl 0133.43104
Aumann, R. J.; Peleg, B.; Rabinowitz, P.
10
1965
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
9
1994
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
9
1997
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
9
1977
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
The logic of backward induction. Zbl 1330.91038
Arieli, Itai; Aumann, Robert J.
7
2015
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
6
1967
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
5
2010
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
3
1994
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
3
1979
Spaces of measurable transformations. Zbl 0099.04301
Aumann, Robert J.
3
1960
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1987
Game engineering. Zbl 1329.91026
Aumann, Robert J.
2
2008
The Shapley value. Zbl 0862.90138
Aumann, Robert J.
1
1994
Epistemic conditions for Nash equilibrium. Zbl 1384.03098
Aumann, Robert J.; Brandenburger, Adam
1
2016
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Orderable set functions and continuity. III: Orderability and absolute continuity. Zbl 0347.28005
Aumann, Robert J.; Rothblum, Uriel G.
1
1977
Core and value for a public-goods economy: An example. Zbl 0377.90107
Aumann, R. J.; Gardner, R. J.; Rosenthal, R. W.
1
1977
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
1
1983
Working with Mike. Zbl 1152.01312
Aumann, Robert J.
1
2008
On choosing a function at random. Zbl 0135.18704
Aumann, R. J.
1
1963
Random measure preserving transformations. Zbl 0214.15603
Aumann, R. J.
1
1967
Epistemic conditions for Nash equilibrium. Zbl 1384.03098
Aumann, Robert J.; Brandenburger, Adam
1
2016
The logic of backward induction. Zbl 1330.91038
Arieli, Itai; Aumann, Robert J.
7
2015
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
5
2010
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
51
2008
Game engineering. Zbl 1329.91026
Aumann, Robert J.
2
2008
Working with Mike. Zbl 1152.01312
Aumann, Robert J.
1
2008
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
61
2003
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
10
2002
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
85
1999
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
41
1999
Acceptable points in general cooperative \(n\)-person games. Zbl 1054.91502
Aumann, Robert J.
17
1999
On the centipede game. Zbl 0911.90354
Aumann, Robert J.
23
1998
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
17
1998
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
27
1997
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
25
1997
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
9
1997
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
153
1995
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
118
1995
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
97
1995
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
50
1994
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
9
1994
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
3
1994
The Shapley value. Zbl 0862.90138
Aumann, Robert J.
1
1994
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
27
1992
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
23
1990
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
60
1989
Endogenous formation of links between players and of coalitions: an application of the Shapley value. Zbl 0712.90098
Aumann, Robert J.; Myerson, Roger B.
27
1989
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
342
1988
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
271
1987
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1987
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
38
1986
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
15
1986
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
306
1985
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
58
1985
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
19
1985
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
20
1983
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
1
1983
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
34
1981
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
3
1979
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
27
1977
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
14
1977
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
9
1977
Orderable set functions and continuity. III: Orderability and absolute continuity. Zbl 0347.28005
Aumann, Robert J.; Rothblum, Uriel G.
1
1977
Core and value for a public-goods economy: An example. Zbl 0377.90107
Aumann, R. J.; Gardner, R. J.; Rosenthal, R. W.
1
1977
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
357
1976
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
13
1976
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
46
1975
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
302
1974
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
261
1974
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
246
1974
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
24
1974
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
27
1972
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
43
1969
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
6
1967
Random measure preserving transformations. Zbl 0214.15603
Aumann, R. J.
1
1967
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
135
1966
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
574
1965
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
51
1965
A method for computing the kernel of \(n\)-person games. Zbl 0133.43104
Aumann, R. J.; Peleg, B.; Rabinowitz, P.
10
1965
Markets with a continuum of traders. Zbl 0137.39003
Aumann, R. J.
341
1964
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
140
1964
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
65
1964
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
20
1964
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
484
1963
On choosing a function at random. Zbl 0135.18704
Aumann, R. J.
1
1963
Utility theory without the completeness axiom. Zbl 0121.15202
Aumann, R. J.
182
1962
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
94
1961
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
23
1961
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
17
1961
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
75
1960
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
19
1960
Spaces of measurable transformations. Zbl 0099.04301
Aumann, Robert J.
3
1960
Acceptable points in general cooperative \(n\)-person games. Zbl 0085.13005
Aumann, Robert J.
245
1959
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
13
1956
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
all top 5

Cited by 4,000 Authors

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24 Samet, Dov
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23 Thomson, William
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21 Peleg, Bezalel
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19 Einy, Ezra
19 Papageorgiou, Nikolaos S.
18 Li, Shoumei
18 Moreno-Ternero, Juan D.
18 Wooders, Myrna Holtz
18 Xu, Huifu
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16 Forges, Françoise
15 Gilboa, Itzhak
14 Béal, Sylvain
14 Casajus, André
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14 Kaneko, Mamoru
14 LaValle, Irving H.
14 Moulin, Hervé C.
14 Schmeidler, David
14 Solan, Eilon
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9 Faro, José Heleno
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Cited in 400 Serials

439 Games and Economic Behavior
428 Journal of Economic Theory
370 Journal of Mathematical Economics
267 International Journal of Game Theory
193 Mathematical Social Sciences
173 Economic Theory
170 Theory and Decision
129 Fuzzy Sets and Systems
95 Journal of Mathematical Analysis and Applications
88 European Journal of Operational Research
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75 Social Choice and Welfare
74 Economics Letters
57 Annals of Operations Research
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8 Mathematical Notes
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6 Computers & Mathematics with Applications
6 The Annals of Probability
6 Journal of Soviet Mathematics
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Cited in 52 Fields

3,581 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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32 Numerical analysis (65-XX)
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2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Mathematics education (97-XX)

Citations by Year

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