Saari, D. (Donald)
Overview
Works:  73 works in 243 publications in 3 languages and 3,893 library holdings 

Genres:  Conference papers and proceedings Filmed lectures Educational films Instructional films 
Roles:  Author, Editor, Other, edi 
Publication Timeline
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Most widely held works about
D Saari
 Saari's critique of Adam Smith's invisible hand and the existence of market equilibrium by W. D. A Bryant( Book )
 Leonid Hurwicz papers by Leonid Hurwicz( )
Most widely held works by
D Saari
Chaotic elections! : a mathematician looks at voting by
D Saari(
Book
)
12 editions published in 2001 in English and held by 560 WorldCat member libraries worldwide
"This book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Moreover, rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is suprisingly large. These consequences indicate that election outcomes  whether for president, the site of the next Olympics, the chair of a university department, or a prize winner  can differ from what the voters really wanted. They show that by using an inadequate voting procedure, we can, inadvertently, choose badly. To add to the difficulties, it turns out that the mathematical structures of voting admit several strategic opportunities, which are described." "Finally, mathematics also helps identify positive results: By using mathematical symmetries, we can identify what the phrase "what the voters really want" might mean and obtain a unique voting method that satisfies these conditions." "Saari's book is for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Reading this book requires little more than high school mathematics and an interest in how the apparently simple situation of voting can lead to surprising paradoxes."Jacket
12 editions published in 2001 in English and held by 560 WorldCat member libraries worldwide
"This book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Moreover, rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is suprisingly large. These consequences indicate that election outcomes  whether for president, the site of the next Olympics, the chair of a university department, or a prize winner  can differ from what the voters really wanted. They show that by using an inadequate voting procedure, we can, inadvertently, choose badly. To add to the difficulties, it turns out that the mathematical structures of voting admit several strategic opportunities, which are described." "Finally, mathematics also helps identify positive results: By using mathematical symmetries, we can identify what the phrase "what the voters really want" might mean and obtain a unique voting method that satisfies these conditions." "Saari's book is for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Reading this book requires little more than high school mathematics and an interest in how the apparently simple situation of voting can lead to surprising paradoxes."Jacket
Decisions and elections : explaining the unexpected by
D Saari(
Book
)
17 editions published between 2001 and 2011 in English and held by 518 WorldCat member libraries worldwide
It is not uncommon to be frustrated by the outcome of an election or a decision in voting, law, economics, engineering, and other fields. Does this 'bad' result reflect poor data or poorly informed voters? Or does the disturbing conclusion reflect the choice of the decision/election procedure? Nobel Laureate Kenneth Arrow's famed theorem has been interpreted to mean 'no decision procedure is without flaws'. Similarly, Nobel Laureate Amartya Sen dashes hope for individual liberties by showing their incompatibility with societal needs. This highly accessible book offers a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions. Once this is understood, not only do the conclusions become expected, but a wide class of other phenomena can also be anticipated
17 editions published between 2001 and 2011 in English and held by 518 WorldCat member libraries worldwide
It is not uncommon to be frustrated by the outcome of an election or a decision in voting, law, economics, engineering, and other fields. Does this 'bad' result reflect poor data or poorly informed voters? Or does the disturbing conclusion reflect the choice of the decision/election procedure? Nobel Laureate Kenneth Arrow's famed theorem has been interpreted to mean 'no decision procedure is without flaws'. Similarly, Nobel Laureate Amartya Sen dashes hope for individual liberties by showing their incompatibility with societal needs. This highly accessible book offers a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions. Once this is understood, not only do the conclusions become expected, but a wide class of other phenomena can also be anticipated
Geometry of voting by
D Saari(
Book
)
14 editions published between 1994 and 2012 in English and Spanish and held by 412 WorldCat member libraries worldwide
Over two centuries of theory and practical experience have taught us that election and decision procedures do not behave as expected. Instead, we now know that when different tallying methods are applied to the same ballots, radically different outcomes can emerge, that most procedures can select the candidate, the voters view as being inferior, and that some commonly used methods have the disturbing anomaly that a winning candidate can lose after receiving added support. A geometric theory is developed to remove much of the mystery of threecandidate voting procedures. In this manner, the spectrum of election outcomes from all positional methods can be compared, new flaws with widely accepted concepts (such as the "Condorcet winner") are identified, and extensions to standard results (e.g. Black's singlepeakedness) are obtained. Many of these results are based on the "profile coordinates" introduced here, which makes it possible to "see" the set of all possible voters' preferences leading to specified election outcomes. Thus, it now is possible to visually compare the likelihood of various conclusions. Also, geometry is applied to apportionment methods to uncover new explanations why such methods can create troubling problems
14 editions published between 1994 and 2012 in English and Spanish and held by 412 WorldCat member libraries worldwide
Over two centuries of theory and practical experience have taught us that election and decision procedures do not behave as expected. Instead, we now know that when different tallying methods are applied to the same ballots, radically different outcomes can emerge, that most procedures can select the candidate, the voters view as being inferior, and that some commonly used methods have the disturbing anomaly that a winning candidate can lose after receiving added support. A geometric theory is developed to remove much of the mystery of threecandidate voting procedures. In this manner, the spectrum of election outcomes from all positional methods can be compared, new flaws with widely accepted concepts (such as the "Condorcet winner") are identified, and extensions to standard results (e.g. Black's singlepeakedness) are obtained. Many of these results are based on the "profile coordinates" introduced here, which makes it possible to "see" the set of all possible voters' preferences leading to specified election outcomes. Thus, it now is possible to visually compare the likelihood of various conclusions. Also, geometry is applied to apportionment methods to uncover new explanations why such methods can create troubling problems
Basic geometry of voting by
D Saari(
Book
)
14 editions published in 1995 in English and German and held by 380 WorldCat member libraries worldwide
A surprise is how the complexities of voting theory can be explained and resolved with the comfortable geometry of our threedimensional world. This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results. As an example, a new profile decomposition quickly resolves two centuries old controversies of Condorcet and Borda, demonstrates, that the rankings of pairwise and other methods differ because they rely on different information, casts series doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow`s Theorem predictable, and simplifies the construction of examples. The geometry unifies seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court
14 editions published in 1995 in English and German and held by 380 WorldCat member libraries worldwide
A surprise is how the complexities of voting theory can be explained and resolved with the comfortable geometry of our threedimensional world. This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results. As an example, a new profile decomposition quickly resolves two centuries old controversies of Condorcet and Borda, demonstrates, that the rankings of pairwise and other methods differ because they rely on different information, casts series doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow`s Theorem predictable, and simplifies the construction of examples. The geometry unifies seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court
Disposing dictators, demystifying voting paradoxes : social choice analysis by
D Saari(
Book
)
16 editions published in 2008 in English and held by 340 WorldCat member libraries worldwide
"We decide by elections, but do we elect who the voters really want? The answer, as we have learned over the past two centuries, is "not necessarily." That is a negative, frightening assertion about a principal tool of democracy! This negativism has been supported by two hundred years of published results showing how bad the situation can be. This expository, largely nontechnical book is the first to find positive results showing that the situation is not nearly as dire and negative as we have been led to believe. Instead there are surprisingly simple explanations for the negative assertions, and positive conclusions can be obtained."Jacket
16 editions published in 2008 in English and held by 340 WorldCat member libraries worldwide
"We decide by elections, but do we elect who the voters really want? The answer, as we have learned over the past two centuries, is "not necessarily." That is a negative, frightening assertion about a principal tool of democracy! This negativism has been supported by two hundred years of published results showing how bad the situation can be. This expository, largely nontechnical book is the first to find positive results showing that the situation is not nearly as dire and negative as we have been led to believe. Instead there are surprisingly simple explanations for the negative assertions, and positive conclusions can be obtained."Jacket
Hamiltonian dynamical systems : proceedings of the AMSIMSSIAM joint summer research conference held June 2127, 1987 with
support from the National Science Foundation by
AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Hamiltonian Dynamical Systems(
Book
)
22 editions published between 1987 and 2012 in English and Undetermined and held by 291 WorldCat member libraries worldwide
22 editions published between 1987 and 2012 in English and Undetermined and held by 291 WorldCat member libraries worldwide
Collisions, rings, and other Newtonian Nbody problems by
D Saari(
Book
)
10 editions published in 2005 in English and held by 278 WorldCat member libraries worldwide
The fourth chapter analyzes collisions, while the last chapter discusses the likelihood of collisions and other events."Jacket
10 editions published in 2005 in English and held by 278 WorldCat member libraries worldwide
The fourth chapter analyzes collisions, while the last chapter discusses the likelihood of collisions and other events."Jacket
Hamiltonian dynamics and celestial mechanics : a Joint Summer Research Conference on Hamiltonian Dynamics and Celestial Mechanics,
June 2529, 1995, Seattle, Washington by
Joint Summer Research Conference on Hamiltonian Dynamics and Celestial Mechanics(
Book
)
19 editions published between 1995 and 2012 in English and held by 260 WorldCat member libraries worldwide
This book contains selected papers from AMSIMSSIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic of these two topics creates a natural combination for a conference on dynamics. Topics covered include twist maps, the AubreyMather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely include some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known
19 editions published between 1995 and 2012 in English and held by 260 WorldCat member libraries worldwide
This book contains selected papers from AMSIMSSIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic of these two topics creates a natural combination for a conference on dynamics. Topics covered include twist maps, the AubreyMather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely include some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known
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 37, 1984 by
Jean Pierre Aubin(
Book
)
12 editions published between 1984 and 1987 in English and German and held by 258 WorldCat member libraries worldwide
12 editions published between 1984 and 1987 in English and German and held by 258 WorldCat member libraries worldwide
Celestial mechanics : dedicated to Donald Saari for his 60th birthday : proceedings of an international conference on celestial
mechanics, December 1519, 1999, Northwestern University, Evanston, Illinois by International Conference on Celestial Mechanics(
Book
)
9 editions published between 2002 and 2012 in English and held by 219 WorldCat member libraries worldwide
9 editions published between 2002 and 2012 in English and held by 219 WorldCat member libraries worldwide
The way it was : mathematics from the early years of the Bulletin by
D Saari(
Book
)
9 editions published in 2003 in English and held by 100 WorldCat member libraries worldwide
9 editions published in 2003 in English and held by 100 WorldCat member libraries worldwide
Mathematics motivated by the social and behavioral sciences by
D Saari(
Book
)
6 editions published between 2017 and 2018 in English and Undetermined and held by 97 WorldCat member libraries worldwide
"The mathematics needed to advance the social and behavioral sciences most surely differs from what has proved to be successful for the physical sciences. This book addresses the need to develop appropriate mathematical tools that, rather than designed for exactness, reflect the current status for much of the social and behavioral science, which requires qualitative predictors"
6 editions published between 2017 and 2018 in English and Undetermined and held by 97 WorldCat member libraries worldwide
"The mathematics needed to advance the social and behavioral sciences most surely differs from what has proved to be successful for the physical sciences. This book addresses the need to develop appropriate mathematical tools that, rather than designed for exactness, reflect the current status for much of the social and behavioral science, which requires qualitative predictors"
The power of mathematical thinking : from Newton's laws to elections and the economy by
D Saari(
Visual
)
2 editions published in 2010 in English and held by 83 WorldCat member libraries worldwide
Professor Donald G. Saari of the University of California, Irvine, presents 24 lectures (ca. 30 min. each) showing the power of applying mathematical ideas across disciplines
2 editions published in 2010 in English and held by 83 WorldCat member libraries worldwide
Professor Donald G. Saari of the University of California, Irvine, presents 24 lectures (ca. 30 min. each) showing the power of applying mathematical ideas across disciplines
On the design of complex organizations and distributive algorithms by
D Saari(
Book
)
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Erratic behavior in economic models by
D Saari(
Book
)
4 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Symmetry and extensions of Arrow's theorem by
D Saari(
Book
)
4 editions published in 1987 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1987 in English and held by 4 WorldCat member libraries worldwide
The lack of consistency for statistical decision procedures by
Deanna B Haunsperger(
Book
)
4 editions published in 1992 in English and German and held by 4 WorldCat member libraries worldwide
4 editions published in 1992 in English and German and held by 4 WorldCat member libraries worldwide
Mathematics Motivated by the Social and Behavioral Sciences by
D Saari(
)
1 edition published in 2018 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 4 WorldCat member libraries worldwide
Is approval voting an "unmitigated evil"? : a response to Brams, Fishburn, and Merrill by
D Saari(
Book
)
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Connecting and resolving Sens and Arrows theorems by
D Saari(
Book
)
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Arrow, Kenneth J. (Kenneth Joseph) 19212017
 Sen, Amartya Kumar
 American Mathematical Society Organizer of meeting
 Meyer, Kenneth R. (Kenneth Ray) 1937 Other Author Editor
 Aubin, Jean Pierre Other Author Editor
 Sigmund, Karl 1945 Other Editor
 Xia, Zhihong Other Editor
 Chenciner, Alain
 International Institute for Applied Systems Analysis Other
 Teaching Company
Useful Links
Associated Subjects
Arrow, Kenneth J.(Kenneth Joseph), Celestial mechanics Celestial mechanicsMathematics Collisions (Astrophysics) Decision making Decision makingMathematical models Demand functions (Economic theory)Mathematical models Division of laborMathematical models East Asia Econometric models Econometrics Economic history Economics Economics, Mathematical EconomicsMathematical models Economists Elections ElectionsMathematical models Equilibrium (Economics)Mathematical models Europe, Eastern Game theory Game theoryResearch Geometry Hamiltonian systems Hurwicz, Leonid Information theory Manybody problem Massachusetts Institute of Technology.Department of Economics Mathematics MathematicsPhilosophy MathematicsPsychological aspects MathematicsSocial aspects Poland Problem solving Refugees Russia Sen, Amartya, Social choice Social choiceMathematical models Social sciencesMathematical models System analysis United States Universities and collegesFaculty University of Chicago.Department of Economics University of Minnesota.Department of Economics Uzawa, Hirofumi, Voting VotingMathematical models Voting researchMathematics World War (19391945)
Covers
Alternative Names
Donald G. Saari Amerikaans wiskundige
Donald G. Saari amerikansk ekonom och matematiker
Donald G. Saari amerikansk økonom og matematikar
Donald G. Saari amerikansk økonom og matematiker
Donald G. Saari matematico statunitense
Donald G. Saari USamerikanischer Mathematiker
Donald Gene Saari mathématicien américain
Donald Saari
Saari, D.
Saari, D. 1940
Saari, D. G. 1940
Saari, Donald
Saari, Donald G.
Saari, Donald G. 1940
Saari, Donald Gene 1940
دونالد جی ساری
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