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## Saari, Donald Gene

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 Author ID: saari.donald-gene Published as: Saari, D.; Saari, D. G.; Saari, Donald; Saari, Donald G.; Saari, Donald Gene External Links: MGP · Wikidata · GND
 Documents Indexed: 155 Publications since 1968, including 13 Books Biographic References: 1 Publication
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#### Co-Authors

 102 single-authored 8 Xia, Zhihong 4 Merlin, Vincent R. 4 Pollard, Harry 3 Jessie, Daniel T. 2 Liao, Xinhao 2 Llibre, Jaume 2 Marchal, Christian 2 McIntee, Tomas J. 2 Simon, Carl P. 2 Valognes, Fabrice 1 Asay, Garrett R. 1 Aubin, Jean-Pierre 1 Bargagliotti, Anna E. 1 Barney, Steven 1 Cushman, Richard H. 1 Diacu, Florin Nicolae 1 Funkenbusch, Walter W. 1 Guisasola, Santiago 1 Hu, Sen 1 Hulkower, Neal D. 1 Kaplan, Samuel R. 1 Kronewetter, Jason 1 Li, Lingfang (Ivy) 1 McCord, Christopher K. 1 Meyer, Kenneth R. 1 Nurmi, Hannu 1 Packel, Edward W. 1 Patrick, Merrell L. 1 Penn, Elizabeth Maggie 1 Pérez-Chavela, Ernesto 1 Petron, Anne 1 Ratliff, Thomas C. 1 Robinson, Clark 1 Saigal, Romesh 1 Sieberg, Katri K. 1 Sigmund, Karl 1 Srinivasan, Bhama 1 Susin, Antoni 1 Tataru, Maria M. 1 Urenko, John B. 1 Williams, Steven R. 1 Yan, Zhiming
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#### Serials

 16 Social Choice and Welfare 13 Celestial Mechanics 8 Economic Theory 7 Journal of Differential Equations 6 Journal of Economic Theory 5 American Mathematical Monthly 5 Journal of Mathematical Economics 5 Transactions of the American Mathematical Society 4 Mathematical Social Sciences 3 Journal of Mathematical Psychology 3 Mathematics of Operations Research 3 Proceedings of the American Mathematical Society 3 Notices of the American Mathematical Society 2 Archive for Rational Mechanics and Analysis 2 Mathematics Magazine 2 The Mathematical Intelligencer 2 Econometrica 2 Journal of Complexity 2 Celestial Mechanics and Dynamical Astronomy 2 Contemporary Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Chaos, Solitons and Fractals 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematica Japonica 1 Advances in Applied Mathematics 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 Games and Economic Behavior 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Macroeconomic Dynamics 1 Journal of Mathematics and Statistics 1 Bulletin of the American Mathematical Society 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Economics and Mathematical Systems 1 Studies in Economic Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Games 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 CBMS Regional Conference Series in Mathematics 1 Undergraduate Texts in Mathematics 1 Static & Dynamic Game Theory: Foundations & Applications
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#### Fields

 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Mechanics of particles and systems (70-XX) 18 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

125 Publications have been cited 1,185 times in 654 Documents Cited by Year
On the role and the properties of n body central configurations. Zbl 0422.70014
Saari, Donald G.
1980
Basic geometry of voting. Zbl 0873.90006
Saari, Donald G.
1995
Geometry of voting. Zbl 0821.90006
Saari, Donald G.
1994
Collisions, rings, and other Newtonian $$N$$-body problems. Zbl 1079.70002
Saari, Donald G.
2005
Decisions and elections. Explaining the unexpected. Zbl 1049.91037
Saari, Donald G.
2001
Disposing dictators, demystifying voting paradoxes. Social choice analysis. Zbl 1168.91007
Saari, Donald G.
2008
Chaotic elections! A mathematician looks at voting. Zbl 0997.91001
Saari, Donald G.
2001
A dictionary for voting paradoxes. Zbl 0672.90010
Saari, Donald G.
1989
Saari, Donald G.
2000
Effective price mechanisms. Zbl 0397.90018
Saari, Donald G.; Simon, Carl P.
1978
Iterative price mechanisms. Zbl 0582.90015
Saari, Donald G.
1985
Hill regions for the general three-body problem. Zbl 0323.70009
Marchal, Christian; Saari, Donald G.
1975
Explaining all three-alternative voting outcomes. Zbl 1016.91029
Saari, Donald G.
1999
The Borda dictionary. Zbl 0731.90010
Saari, D. G.
1990
Newton’s method, circle maps, and chaotic motion. Zbl 0532.58016
Saari, Donald G.; Urenko, John B.
1984
On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem. Zbl 0475.70010
Saari, Donald G.; Hulkower, Neal D.
1981
Improbability of collisions in Newtonian gravitational systems. Zbl 0231.70007
Saari, Donald Gene
1972
The generic existence of a core for $$q$$-rules. Zbl 0886.90043
Saari, Donald G.
1997
On the final evolution of the n-body problem. Zbl 0336.70010
Marchal, Christian; Saari, Donald G.
1976
Singularities and collisions of Newtonian gravitational systems. Zbl 0253.70010
Saari, Donald G.
1973
Expanding gravitational systems. Zbl 0215.57001
Saari, D. G.
1971
A geometric examination of Kemeny’s rule. Zbl 1069.91538
Saari, Donald G.; Merlin, Vincent R.
2000
Consistency of decision processes. Zbl 0715.90002
Saari, Donald G.
1990
Connecting and resolving Sen’s and Arrow’s theorems. Zbl 1066.91543
Saari, Donald G.
1998
Central configurations in the charged three body problem. Zbl 0865.58022
Perez-Chavela, Ernesto; Saari, Donald G.; Susin, Antoni; Yan, Zhiming
1996
Millions of election outcomes from a single profile. Zbl 0765.90029
Saari, Donald G.
1992
Analyzing a nail-biting election. Zbl 1069.91537
Saari, Donald G.
2001
The likelihood of dubious election outcomes. Zbl 0918.90050
Saari, Donald G.; Tataru, Maria M.
1999
The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem. Zbl 0571.70009
Saari, Donald G.
1984
Improbability of collisions in Newtonian gravitational systems. II. Zbl 0283.70007
Saari, Donald G.
1973
Mathematical structure of voting paradoxes. II: Positional voting. Zbl 1081.91007
Saari, Donald G.
2000
The Copeland method. I: Relationships and the dictionary. Zbl 0852.90044
Saari, Donald G.; Merlin, Vincent R.
1996
A global existence theorem for the four body problem of Newtonian mechanics. Zbl 0353.70008
Saari, Donald G.
1977
Mathematical complexity of simple economics. Zbl 1042.91544
Saari, Donald
1995
The ultimate of chaos resulting from weighted voting systems. Zbl 0561.90003
Saari, Donald G.
1984
Singularities of the n-body problem. I. Zbl 0174.26904
Pollard, H.; Saari, D. G.
1968
Negative externalities and Sen’s liberalism theorem. Zbl 1096.91011
Saari, Donald G.; Petron, Anne
2006
From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system. Zbl 0549.70003
Saari, Donald G.
1984
Consequences of reversing preferences. Zbl 1266.91022
Saari, Donald G.; Barney, Steven
2003
The geometry of Black’s single peakedness and related conditions. Zbl 0937.91042
Saari, Donald G.; Valognes, Fabrice
1999
Off to infinity in finite time. Zbl 1003.70500
Saari, Donald G.; Xia, Zhihong
1995
The source of some paradoxes from social choice and probability. Zbl 0615.90010
Saari, Donald G.
1987
Restrictions on the motion of the three-body problem. Zbl 0301.70005
Saari, Donald G.
1974
Symmetry of nonparametric statistical tests on three samples. Zbl 1219.62073
Bargagliotti, Anna E.; Saari, Donald G.
2010
Some surprising properties of power indices. Zbl 1168.91316
Saari, Donald G.; Sieberg, Katri K.
2001
Informational geometry of social choice. Zbl 0886.90022
Saari, Donald G.
1997
The existence of oscillatory and superhyperbolic motion in Newtonian systems. Zbl 0705.34034
Saari, Donald G.; Xia, Zhihong
1989
A method for constructing message systems for smooth performance functions. Zbl 0536.90021
Saari, Donald G.
1984
$$N$$-body spatial parabolic orbits asymptotic to collinear central configurations. Zbl 0493.70020
Robinson, Clark; Saari, Donald G.
1983
Copeland method. II: Manipulation, monotonicity, and paradoxes. Zbl 0884.90009
Merlin, Vincent R.; Saari, Donald G.
1997
A chaotic exploration of aggregation paradoxes. Zbl 0834.90012
Saari, Donald G.
1995
Symmetry, voting, and social choice. Zbl 0656.90002
Saari, Donald G.
1988
On the local convergence of economic mechanisms. Zbl 0603.90026
Saari, Donald G.; Williams, Steven R.
1986
The N-body problem of celestial mechanics. Zbl 0345.70005
Saari, Donald G.
1976
Collisions are of first category. Zbl 0298.70005
Saari, Donald G.
1975
Mathematics and the “dark matter” puzzle. Zbl 1364.70025
Saari, Donald G.
2015
A new way to analyze paired comparison rules. Zbl 1308.91048
Saari, Donald G.
2014
A visit to the Newtonian $$N$$-body problem via elementary complex variables. Zbl 0748.70008
Saari, Donald G.
1990
Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima. Zbl 0394.90005
Saari, Donald G.; Simon, Carl P.
1977
Escape from a gravitational system of positive energy. Zbl 0265.70005
Pollard, Harry; Saari, Donald G.
1970
Complexities of electing diverse committees. Zbl 1302.91088
Ratliff, Thomas C.; Saari, Donald G.
2014
Unifying voting theory from Nakamura’s to Greenberg’s theorems. Zbl 1291.91068
Saari, Donald G.
2014
Sen’s theorem: geometric proof, new interpretations. Zbl 1151.91421
Li, Lingfang (Ivy); Saari, Donald G.
2008
Unsettling aspects of voting theory. Zbl 1046.91037
Saari, Donald G.
2003
Adopting a plurality vote perspective. Zbl 1082.91514
Saari, Donald G.
2002
Geometry, voting, and paradoxes. Zbl 1037.91028
Saari, Donald G.; Valognes, Fabrice
1998
From rotations and inclinations to zero configurational velocity surfaces. II. The best possible configurational velocity surfaces. Zbl 0636.70008
Saari, Donald G.
1987
Inconsistencies of weighted summation voting systems. Zbl 0498.90005
Saari, Donald G.
1982
Singularities of the n-body problem. II. Zbl 0228.70021
Pollard, Harry; Saari, Donald G.
1970
On oscillatory motion in the problem of three bodies. Zbl 0185.52302
Saari, D. G.
1970
Cooperation in $$n$$-player repeated games. Zbl 1310.91030
Jessie, Daniel T.; Saari, Donald G.
2014
Finessing a point: augmenting the core. Zbl 1201.91182
Saari, Donald G.; Asay, Garrett R.
2010
Complexity and the geometry of voting. Zbl 1187.91054
Saari, Donald G.
2008
Hamiltonian dynamics and celestial mechanics. A joint summer research conference, June 25–29, 1995, Seattle, WA, USA. Zbl 0851.00086
Saari, Donald G. (ed.); Xia, Zhihong (ed.)
1996
Inner consistency or not inner consistency: A reformulation is the answer. Zbl 0881.90011
Saari, Donald G.
1995
Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems. Zbl 0847.70011
Llibre, Jaume; Saari, Donald G.
1995
Superhyberbolic expansion, noncollision singularities and symmetry configurations. Zbl 0817.70006
Saari, Donald G.; Diacu, Florin N.
1994
The aggregated excess demand function and other aggregation procedures. Zbl 0807.90043
Saari, Donald G.
1992
Calculus and extensions of Arrow’s theorem. Zbl 0751.90008
Saari, Donald G.
1991
Chaos and the theory of elections. Zbl 0641.90009
Saari, D. G.
1987
A globally convergent algorithm for determining approximate real zeros of a class of functions. Zbl 0314.65024
Patrick, Merrell L.; Saari, Donald G.
1975
On oscillatory motion in gravitational systems. Zbl 0277.70003
Saari, Donald G.
1973
On bounded solutions of the n-body problem. Zbl 0227.70011
Saari, Donald G.
1970
Power series solutions. Zbl 0194.56802
Saari, Donald G.
1970
Connecting pairwise and positional election outcomes. Zbl 1386.91064
Saari, Donald G.; McIntee, Tomas J.
2013
Systematic analysis of multiple voting rules. Zbl 1201.91053
Saari, Donald G.
2010
Condorcet domains: a geometric perspective. Zbl 1173.91355
Saari, Donald G.
2009
Mathematics and voting. Zbl 1137.91009
Saari, Donald G.
2008
The profile structure for Luce’s choice axiom. Zbl 1113.91014
Saari, Donald G.
2005
Geometry of chaotic and stable discussions. Zbl 1096.91013
Saari, Donald G.
2004
Changes that cause changes. Zbl 1069.91539
Saari, Donald G.; Merlin, Vincent R.
2000
Singularities in the Newtonian $$n$$-body problem. Zbl 0864.70005
Saari, Donald G.; Xia, Zhihong
1996
Symmetry extensions of “neutrality”. II: Partial ordering of dictionaries. Zbl 0783.90028
Saari, Donald G.
1993
Relationship admitting families of candidates. Zbl 0733.90010
Saari, D. G.
1991
On Newtonian cosmology with a varying gravitational constant. Zbl 0381.70020
Saari, Donald G.
1977
Regularization and the artificial Earth satellite problem. Zbl 0358.70028
Saari, Donald G.
1974
An elementary tauberian theorem for absolutely continuous functions and for series. Zbl 0283.26001
Saari, Donald G.
1974
Some large 0 nonlinear Tauberian theorems. Zbl 0175.34601
Saari, D. G.
1969
Coordinate systems for games. Simplifying the “me” and “we” interactions. Zbl 1455.91004
Jessie, Daniel T.; Saari, Donald G.
2019
Mathematics of finance. An intuitive introduction. Zbl 1422.91007
Saari, Donald G.
2019
Coordinate systems for games. Simplifying the “me” and “we” interactions. Zbl 1455.91004
Jessie, Daniel T.; Saari, Donald G.
2019
Mathematics of finance. An intuitive introduction. Zbl 1422.91007
Saari, Donald G.
2019
Mathematics motivated by the social and behavioral sciences. Zbl 1390.91008
Saari, Donald G.
2018
Basis for binary comparisons and non-standard probabilities. Zbl 1353.91016
Saari, Donald G.
2016
From the Luce choice axiom to the quantal response equilibrium. Zbl 1396.91043
Jessie, Daniel T.; Saari, Donald G.
2016
Mathematics and the “dark matter” puzzle. Zbl 1364.70025
Saari, Donald G.
2015
A new way to analyze paired comparison rules. Zbl 1308.91048
Saari, Donald G.
2014
Complexities of electing diverse committees. Zbl 1302.91088
Ratliff, Thomas C.; Saari, Donald G.
2014
Unifying voting theory from Nakamura’s to Greenberg’s theorems. Zbl 1291.91068
Saari, Donald G.
2014
Cooperation in $$n$$-player repeated games. Zbl 1310.91030
Jessie, Daniel T.; Saari, Donald G.
2014
Connecting pairwise and positional election outcomes. Zbl 1386.91064
Saari, Donald G.; McIntee, Tomas J.
2013
Source of complexity in the social and managerial sciences: an extended Sen’s theorem. Zbl 1235.91051
Saari, Donald G.
2011
Symmetry of nonparametric statistical tests on three samples. Zbl 1219.62073
Bargagliotti, Anna E.; Saari, Donald G.
2010
Finessing a point: augmenting the core. Zbl 1201.91182
Saari, Donald G.; Asay, Garrett R.
2010
Systematic analysis of multiple voting rules. Zbl 1201.91053
Saari, Donald G.
2010
Condorcet domains: a geometric perspective. Zbl 1173.91355
Saari, Donald G.
2009
Disposing dictators, demystifying voting paradoxes. Social choice analysis. Zbl 1168.91007
Saari, Donald G.
2008
Sen’s theorem: geometric proof, new interpretations. Zbl 1151.91421
Li, Lingfang (Ivy); Saari, Donald G.
2008
Complexity and the geometry of voting. Zbl 1187.91054
Saari, Donald G.
2008
Mathematics and voting. Zbl 1137.91009
Saari, Donald G.
2008
From decision problems to dethroned dictators. Zbl 1135.91346
Kronewetter, Jason; Saari, Donald G.
2008
Negative externalities and Sen’s liberalism theorem. Zbl 1096.91011
Saari, Donald G.; Petron, Anne
2006
Collisions, rings, and other Newtonian $$N$$-body problems. Zbl 1079.70002
Saari, Donald G.
2005
The profile structure for Luce’s choice axiom. Zbl 1113.91014
Saari, Donald G.
2005
Geometry of chaotic and stable discussions. Zbl 1096.91013
Saari, Donald G.
2004
Consequences of reversing preferences. Zbl 1266.91022
Saari, Donald G.; Barney, Steven
2003
Unsettling aspects of voting theory. Zbl 1046.91037
Saari, Donald G.
2003
Adopting a plurality vote perspective. Zbl 1082.91514
Saari, Donald G.
2002
Decisions and elections. Explaining the unexpected. Zbl 1049.91037
Saari, Donald G.
2001
Chaotic elections! A mathematician looks at voting. Zbl 0997.91001
Saari, Donald G.
2001
Analyzing a nail-biting election. Zbl 1069.91537
Saari, Donald G.
2001
Some surprising properties of power indices. Zbl 1168.91316
Saari, Donald G.; Sieberg, Katri K.
2001
Saari, Donald G.
2000
A geometric examination of Kemeny’s rule. Zbl 1069.91538
Saari, Donald G.; Merlin, Vincent R.
2000
Mathematical structure of voting paradoxes. II: Positional voting. Zbl 1081.91007
Saari, Donald G.
2000
Changes that cause changes. Zbl 1069.91539
Saari, Donald G.; Merlin, Vincent R.
2000
Explaining all three-alternative voting outcomes. Zbl 1016.91029
Saari, Donald G.
1999
The likelihood of dubious election outcomes. Zbl 0918.90050
Saari, Donald G.; Tataru, Maria M.
1999
The geometry of Black’s single peakedness and related conditions. Zbl 0937.91042
Saari, Donald G.; Valognes, Fabrice
1999
Connecting and resolving Sen’s and Arrow’s theorems. Zbl 1066.91543
Saari, Donald G.
1998
Geometry, voting, and paradoxes. Zbl 1037.91028
Saari, Donald G.; Valognes, Fabrice
1998
Instability and diffusion in the elliptic restricted three-body problem. Zbl 0916.70008
Liao, Xinhao; Saari, Donald G.; Xia, Zhihong
1998
The generic existence of a core for $$q$$-rules. Zbl 0886.90043
Saari, Donald G.
1997
Informational geometry of social choice. Zbl 0886.90022
Saari, Donald G.
1997
Copeland method. II: Manipulation, monotonicity, and paradoxes. Zbl 0884.90009
Merlin, Vincent R.; Saari, Donald G.
1997
Are individual rights possible? Zbl 1055.91518
Saari, Donald G.
1997
Central configurations in the charged three body problem. Zbl 0865.58022
Perez-Chavela, Ernesto; Saari, Donald G.; Susin, Antoni; Yan, Zhiming
1996
The Copeland method. I: Relationships and the dictionary. Zbl 0852.90044
Saari, Donald G.; Merlin, Vincent R.
1996
Hamiltonian dynamics and celestial mechanics. A joint summer research conference, June 25–29, 1995, Seattle, WA, USA. Zbl 0851.00086
Saari, Donald G. (ed.); Xia, Zhihong (ed.)
1996
Singularities in the Newtonian $$n$$-body problem. Zbl 0864.70005
Saari, Donald G.; Xia, Zhihong
1996
The ease of generating chaotic behavior in economics. Zbl 1080.91543
Saari, Donald G.
1996
Basic geometry of voting. Zbl 0873.90006
Saari, Donald G.
1995
Mathematical complexity of simple economics. Zbl 1042.91544
Saari, Donald
1995
Off to infinity in finite time. Zbl 1003.70500
Saari, Donald G.; Xia, Zhihong
1995
A chaotic exploration of aggregation paradoxes. Zbl 0834.90012
Saari, Donald G.
1995
Inner consistency or not inner consistency: A reformulation is the answer. Zbl 0881.90011
Saari, Donald G.
1995
Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems. Zbl 0847.70011
Llibre, Jaume; Saari, Donald G.
1995
Geometry of voting. Zbl 0821.90006
Saari, Donald G.
1994
Superhyberbolic expansion, noncollision singularities and symmetry configurations. Zbl 0817.70006
Saari, Donald G.; Diacu, Florin N.
1994
Symmetry extensions of “neutrality”. II: Partial ordering of dictionaries. Zbl 0783.90028
Saari, Donald G.
1993
Millions of election outcomes from a single profile. Zbl 0765.90029
Saari, Donald G.
1992
The aggregated excess demand function and other aggregation procedures. Zbl 0807.90043
Saari, Donald G.
1992
Symmetry extensions of ”neutrality”. I: Advantage to the Condorcet loser. Zbl 0766.90008
Saari, Donald G.
1992
Calculus and extensions of Arrow’s theorem. Zbl 0751.90008
Saari, Donald G.
1991
Relationship admitting families of candidates. Zbl 0733.90010
Saari, D. G.
1991
The Borda dictionary. Zbl 0731.90010
Saari, D. G.
1990
Consistency of decision processes. Zbl 0715.90002
Saari, Donald G.
1990
A visit to the Newtonian $$N$$-body problem via elementary complex variables. Zbl 0748.70008
Saari, Donald G.
1990
On the design of complex organizations and distributive algorithms. Zbl 0702.68033
Saari, Donald G.
1990
A dictionary for voting paradoxes. Zbl 0672.90010
Saari, Donald G.
1989
The existence of oscillatory and superhyperbolic motion in Newtonian systems. Zbl 0705.34034
Saari, Donald G.; Xia, Zhihong
1989
Symmetry, voting, and social choice. Zbl 0656.90002
Saari, Donald G.
1988
Symmetry in n-particle systems. Zbl 0668.70011
Saari, Donald G.
1988
On the types of information and mechanism design. Zbl 0662.90003
Saari, Donald G.
1988
The source of some paradoxes from social choice and probability. Zbl 0615.90010
Saari, Donald G.
1987
From rotations and inclinations to zero configurational velocity surfaces. II. The best possible configurational velocity surfaces. Zbl 0636.70008
Saari, Donald G.
1987
Chaos and the theory of elections. Zbl 0641.90009
Saari, D. G.
1987
On the local convergence of economic mechanisms. Zbl 0603.90026
Saari, Donald G.; Williams, Steven R.
1986
Dynamical systems and mathematical economics. Zbl 0602.90041
Saari, Donald G.
1986
Iterative price mechanisms. Zbl 0582.90015
Saari, Donald G.
1985
The representation problem and the efficiency of the price mechanism. Zbl 0585.90009
Saari, Donald G.
1985
Random behavior in numerical analysis, decision theory, and macrosystems: Some impossibility theorems. Zbl 0575.90095
Saari, Donald G.
1985
Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024
Aubin, J.-P. (ed.); Saari, D. (ed.); Sigmund, K. (ed.)
1985
Price dynamics, social choice, voting methods, probability and chaos. Zbl 0561.90002
Saari, Donald G.
1985
Newton’s method, circle maps, and chaotic motion. Zbl 0532.58016
Saari, Donald G.; Urenko, John B.
1984
The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem. Zbl 0571.70009
Saari, Donald G.
1984
The ultimate of chaos resulting from weighted voting systems. Zbl 0561.90003
Saari, Donald G.
1984
From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system. Zbl 0549.70003
Saari, Donald G.
1984
A method for constructing message systems for smooth performance functions. Zbl 0536.90021
Saari, Donald G.
1984
$$N$$-body spatial parabolic orbits asymptotic to collinear central configurations. Zbl 0493.70020
Robinson, Clark; Saari, Donald G.
1983
Inconsistencies of weighted summation voting systems. Zbl 0498.90005
Saari, Donald G.
1982
Strategic equilibria and decisive set structures for social choice mechanisms. Zbl 0496.90006
Packel, Edward W.; Saari, Donald G.
1982
On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem. Zbl 0475.70010
Saari, Donald G.; Hulkower, Neal D.
1981
On the role and the properties of n body central configurations. Zbl 0422.70014
Saari, Donald G.
1980
Effective price mechanisms. Zbl 0397.90018
Saari, Donald G.; Simon, Carl P.
1978
A global existence theorem for the four body problem of Newtonian mechanics. Zbl 0353.70008
Saari, Donald G.
1977
Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima. Zbl 0394.90005
Saari, Donald G.; Simon, Carl P.
1977
On Newtonian cosmology with a varying gravitational constant. Zbl 0381.70020
Saari, Donald G.
1977
A qualitative model for the dynamics of cognitive processes. Zbl 0362.92025
Saari, Donald G.
1977
On the final evolution of the n-body problem. Zbl 0336.70010
Marchal, Christian; Saari, Donald G.
1976
...and 25 more Documents
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#### Cited by 689 Authors

 62 Saari, Donald Gene 26 Llibre, Jaume 16 Diacu, Florin Nicolae 16 Mello, Luis Fernando O. 13 Pérez-Chavela, Ernesto 12 Fernandes, Antonio Carlos 11 Klamler, Christian 9 Corbera, Montserrat 9 Merlin, Vincent R. 9 Xie, Zhifu 8 Gehrlein, William V. 8 Nitzan, Shmuel I. 7 Baharad, Eyal 7 Moeckel, Richard 6 Cors, Josep Maria 6 Lepelley, Dominique 6 Ouyang, Tiancheng 6 Powers, Robert C. 6 Santoprete, Manuele 6 Sanver, M. Remzi 6 Schofield, Norman James 6 Vidal, Claudio 6 Zwicker, William S. 5 Alvarez-Ramírez, Martha 5 Darmann, Andreas 5 Duggan, John 5 Marchal, Christian 5 Martin, Mathieu 5 Pferschy, Ulrich 5 Zhang, Shiqing 4 Chen, Jian 4 Deng, Chunhua 4 Diss, Mostapha 4 Flåm, Sjur Didrik 4 Herings, P. Jean-Jacques 4 Hill, James Murray 4 Jordan, James S. 4 Kelly, Jerry S. 4 Lacomba, Ernesto A. 4 Laslier, Jean-François 4 McMorris, Frederick R. 4 Moreno, Bernardo 4 Piggins, Ashley 4 Plassmann, Florenz 4 Tibboel, Pieter 4 Valognes, Fabrice 4 Van der Laan, Gerard 4 Xia, Zhihong 4 Zare, Karim 4 Zhao, Furong 3 Barberà, Salvador 3 Bargagliotti, Anna E. 3 Barutello, Vivina L. 3 Borisov, Alekseĭ Vladimirovich 3 Bozis, George 3 Bubboloni, Daniela 3 De Baets, Bernard 3 Dellis, Arnaud 3 Duddy, Conal 3 Eckert, Daniel 3 ElBialy, Mohamed Sami 3 Freixas, Josep 3 Gerver, Joseph L. 3 Gori, Michele 3 Grofman, Bernard 3 Hampton, Marshall 3 Hurley, Mike 3 Knauf, Andreas 3 Lamboray, Claude 3 Le Breton, Michel 3 Llamazares, Bonifacio 3 Maderna, Ezequiel 3 McIntee, Tomas J. 3 Orrison, Michael E. 3 Pérez-Fernández, Raúl 3 Puy, M. Socorro 3 Quesada, Antonio 3 Regenwetter, Michel 3 Reiter, Stanley 3 Roberts, Gareth E. 3 Roy, Archie E. 3 Salles, Maurice 3 Simó, Carles 3 Su, Xia 3 Sun, Yisui 3 Terracini, Susanna 3 Tideman, T. Nicolaus 3 Tsai, Ya-Lun 3 Tuinstra, Jan 3 Volij, Oscar 2 Alvarez, Martha R. 2 Bala, Venkatesh 2 Balinski, Michel Louis 2 Banks, Jeffrey Scot 2 Barbour, Julian B. 2 Barrera, Jorge 2 Belenky, Alexander S. 2 Boudreau, James W. 2 Brams, Steven J. 2 Brandt, Felix ...and 589 more Authors
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#### Cited in 149 Serials

 88 Social Choice and Welfare 40 Mathematical Social Sciences 40 Celestial Mechanics and Dynamical Astronomy 34 Celestial Mechanics 29 Journal of Differential Equations 28 Journal of Mathematical Economics 16 Theory and Decision 15 Journal of Economic Theory 12 Journal of Mathematical Physics 10 Archive for Rational Mechanics and Analysis 10 Journal of Geometry and Physics 10 Transactions of the American Mathematical Society 10 Economic Theory 9 Games and Economic Behavior 8 Journal of Mathematical Analysis and Applications 8 Proceedings of the American Mathematical Society 8 Economics Letters 7 The Mathematical Intelligencer 7 Mathematical and Computer Modelling 7 Journal of Dynamics and Differential Equations 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Economic Dynamics & Control 6 European Journal of Operational Research 6 Regular and Chaotic Dynamics 5 Applied Mathematics and Computation 5 Inventiones Mathematicae 5 Physica D 5 Qualitative Theory of Dynamical Systems 4 Communications in Mathematical Physics 4 Information Sciences 4 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Psychology 4 International Journal of Approximate Reasoning 4 Annals of Operations Research 4 International Game Theory Review 4 Nonlinear Analysis. Real World Applications 4 Review of Economic Design 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Astrophysics and Space Science 3 Discrete Applied Mathematics 3 Nonlinearity 3 Chaos, Solitons and Fractals 3 International Journal of Game Theory 3 Mathematics of Operations Research 3 Advances in Applied Mathematics 3 Ergodic Theory and Dynamical Systems 3 Acta Applicandae Mathematicae 3 Journal of Complexity 3 Journal of Nonlinear Science 3 Games 2 American Mathematical Monthly 2 Computers & Mathematics with Applications 2 Physica A 2 Advances in Mathematics 2 Anais da Academia Brasileira de Ciências 2 Mathematical Programming 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Operations Research 2 Synthese 2 Operations Research Letters 2 Statistical Science 2 Proceedings of the National Academy of Sciences of the United States of America 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Abstract and Applied Analysis 2 Chaos 2 Foundations of Physics 2 Math Horizons 2 Advances in Mathematical Physics 2 Dynamic Games and Applications 1 Analysis Mathematica 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 Earth, Moon, and Planets 1 General Relativity and Gravitation 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Moon and the Planets 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Science & Education 1 Fortschritte der Physik 1 Boletim da Sociedade Brasileira de Matemática 1 Computing 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 The Journal of Mathematical Sociology 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 European Journal of Combinatorics 1 Systems & Control Letters 1 Journal of Classification 1 Constructive Approximation 1 Journal of Economics 1 International Journal of Intelligent Systems 1 Neural Networks 1 Machine Learning ...and 49 more Serials
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#### Cited in 46 Fields

 326 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 247 Mechanics of particles and systems (70-XX) 74 Dynamical systems and ergodic theory (37-XX) 26 Ordinary differential equations (34-XX) 24 Statistics (62-XX) 23 Numerical analysis (65-XX) 23 Computer science (68-XX) 21 Operations research, mathematical programming (90-XX) 10 Partial differential equations (35-XX) 10 Relativity and gravitational theory (83-XX) 9 History and biography (01-XX) 9 Quantum theory (81-XX) 8 General and overarching topics; collections (00-XX) 8 Mathematical logic and foundations (03-XX) 8 Combinatorics (05-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Biology and other natural sciences (92-XX) 5 Functions of a complex variable (30-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 5 Astronomy and astrophysics (85-XX) 4 Group theory and generalizations (20-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX)

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