The Mathematics Of Preference Choice And Order

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The Mathematics of Preference, Choice and Order

Steven Brams,William V. Gehrlein,Fred S. Roberts
The Mathematics of Preference Choice and Order Book PDF

Author : Steven Brams,William V. Gehrlein,Fred S. Roberts
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 43,6 Mb
Release : 2009-02-11
Category : Mathematics
ISBN : 9783540791287

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The Mathematics of Preference, Choice and Order by Steven Brams,William V. Gehrlein,Fred S. Roberts Pdf

Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.

The Mathematics of Preference, Choice and Order

Steven Brams,William V. Gehrlein,Fred S. Roberts
The Mathematics of Preference Choice and Order Book PDF

Author : Steven Brams,William V. Gehrlein,Fred S. Roberts
Publisher : Springer
Page : 420 pages
File Size : 40,9 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 3540871918

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The Mathematics of Preference, Choice and Order by Steven Brams,William V. Gehrlein,Fred S. Roberts Pdf

Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.

Utility Maximization, Choice and Preference

Fuad Aleskerov,Bernard Monjardet
Utility Maximization Choice and Preference Book PDF

Author : Fuad Aleskerov,Bernard Monjardet
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 49,6 Mb
Release : 2013-04-18
Category : Business & Economics
ISBN : 9783662049921

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Utility Maximization, Choice and Preference by Fuad Aleskerov,Bernard Monjardet Pdf

The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.

The Theory of Social Choice

Peter C. Fishburn
The Theory of Social Choice Book PDF

Author : Peter C. Fishburn
Publisher : Princeton University Press
Page : 277 pages
File Size : 51,9 Mb
Release : 2015-03-08
Category : Social Science
ISBN : 9781400868339

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The Theory of Social Choice by Peter C. Fishburn Pdf

One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Mathematical Methods in Economics and Social Choice

Norman Schofield
Mathematical Methods in Economics and Social Choice Book PDF

Author : Norman Schofield
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 42,5 Mb
Release : 2013-10-11
Category : Business & Economics
ISBN : 9783642398186

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Mathematical Methods in Economics and Social Choice by Norman Schofield Pdf

In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Preferences and Decisions

Salvatore Greco,Ricardo Alberto Marques Pereira,Massimo Squillante,Ronald R. Yager
Preferences and Decisions Book PDF

Author : Salvatore Greco,Ricardo Alberto Marques Pereira,Massimo Squillante,Ronald R. Yager
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 55,6 Mb
Release : 2010-10-05
Category : Computers
ISBN : 9783642159756

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Preferences and Decisions by Salvatore Greco,Ricardo Alberto Marques Pereira,Massimo Squillante,Ronald R. Yager Pdf

Decision making is an omnipresent, most crucial activity of the human being, and also of virtually all artificial broadly perceived “intelligent” systems that try to mimic human behavior, reasoning and choice processes. It is quite obvious that such a relevance of decision making had triggered vast research effort on its very essence, and attempts to develop tools and techniques which would make it possible to somehow mimic human decision making related acts, even to automate decision making processes that had been so far reserved for the human beings. The roots of those attempts at a scientific analysis can be traced to the ancient times but – clearly – they have gained momentum in the recent 50 or 100 years following a general boom in science. Depending on the field of science, decision making can be viewed in different ways. The most general view can be that decision making boils down to some cognitive, mental process(es) that lead to the selection of an option or a course of action among several alternatives. Then, looking in a deeper way, from a psychological perspective this process proceeds in the context of a set of needs, preferences, rational choice of an individual, a group of individuals, or even an organization. From a cognitive perspective, the decision making process proceeds in the context of various interactions with the environment.

Consistency, Choice, and Rationality

Walter Bossert,Kotaro Suzumura
Consistency Choice and Rationality Book PDF

Author : Walter Bossert,Kotaro Suzumura
Publisher : Harvard University Press
Page : 231 pages
File Size : 43,6 Mb
Release : 2010-10-29
Category : Business & Economics
ISBN : 9780674059214

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Consistency, Choice, and Rationality by Walter Bossert,Kotaro Suzumura Pdf

In Consistency, Choice, and Rationality, economic theorists Walter Bossert and Kotaro Suzumura present a thorough mathematical treatment of Suzumura consistency, an alternative to established coherence properties such as transitivity, quasi-transitivity, or acyclicity. Applications in individual and social choice theory, fields important not only to economics but also to philosophy and political science, are discussed. Specifically, the authors explore topics such as rational choice and revealed preference theory, and collective decision making in an atemporal framework as well as in an intergenerational setting.

The Oxford Handbook of Public Choice

Roger D. Congleton,Bernard N. Grofman,Stefan Voigt
The Oxford Handbook of Public Choice Book PDF

Author : Roger D. Congleton,Bernard N. Grofman,Stefan Voigt
Publisher : Oxford Handbooks
Page : 985 pages
File Size : 54,6 Mb
Release : 2019-01-08
Category : Business & Economics
ISBN : 9780190469733

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The Oxford Handbook of Public Choice by Roger D. Congleton,Bernard N. Grofman,Stefan Voigt Pdf

"This two-volume collection provides a comprehensive overview of the past seventy years of public choice research, written by experts in the fields surveyed. The individual chapters are more than simple surveys, but provide readers with both a sense of the progress made and puzzles that remain. Most are written with upper level undergraduate and graduate students in economics and political science in mind, but many are completely accessible to non-expert readers who are interested in Public Choice research. The two-volume set will be of broad interest to social scientists, policy analysts, and historians"--

The Oxford Handbook of Public Choice

Roger D. Congleton,Bernard N. Grofman,Stefan Voigt
The Oxford Handbook of Public Choice Book PDF

Author : Roger D. Congleton,Bernard N. Grofman,Stefan Voigt
Publisher : Oxford University Press
Page : 800 pages
File Size : 55,5 Mb
Release : 2018-12-07
Category : Business & Economics
ISBN : 9780190469740

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The Oxford Handbook of Public Choice by Roger D. Congleton,Bernard N. Grofman,Stefan Voigt Pdf

The Oxford Handbook of Public Choice provides a comprehensive overview of the research in economics, political science, law, and sociology that has generated considerable insight into the politics of democratic and authoritarian systems as well as the influence of different institutional frameworks on incentives and outcomes. The result is an improved understanding of public policy, public finance, industrial organization, and macroeconomics as the combination of political and economic analysis shed light on how various interests compete both within a given rules of the games and, at times, to change the rules. These volumes include analytical surveys, syntheses, and general overviews of the many subfields of public choice focusing on interesting, important, and at times contentious issues. Throughout the focus is on enhancing understanding how political and economic systems act and interact, and how they might be improved. Both volumes combine methodological analysis with substantive overviews of key topics. This first volume covers voting and elections; interest group competition and rent seeking, including corruption and various normative approaches to evaluating policies and politics. Throughout both volumes important analytical concepts and tools are discussed, including their application to substantive topics. Readers will gain increased understanding of rational choice and its implications for collective action; various explanations of voting, including economic and expressive; the role of taxation and finance in government dynamics; how trust and persuasion influence political outcomes; and how revolution, coups, and authoritarianism can be explained by the same set of analytical tools as enhance understanding of the various forms of democracy.

Handbook of Computational Social Choice

Felix Brandt,Vincent Conitzer,Ulle Endriss,Jérôme Lang,Ariel D. Procaccia
Handbook of Computational Social Choice Book PDF

Author : Felix Brandt,Vincent Conitzer,Ulle Endriss,Jérôme Lang,Ariel D. Procaccia
Publisher : Cambridge University Press
Page : 553 pages
File Size : 47,8 Mb
Release : 2016-04-25
Category : Business & Economics
ISBN : 9781107060432

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Handbook of Computational Social Choice by Felix Brandt,Vincent Conitzer,Ulle Endriss,Jérôme Lang,Ariel D. Procaccia Pdf

A comprehensive survey of computational aspects of collective decisions for graduate students, researchers, and professionals in computer science and economics.

The Mathematics of Decisions, Elections, and Games

Karl-Dieter Crisman,Michael A. Jones
The Mathematics of Decisions Elections and Games Book PDF

Author : Karl-Dieter Crisman,Michael A. Jones
Publisher : American Mathematical Society
Page : 229 pages
File Size : 51,7 Mb
Release : 2014-08-29
Category : Mathematics
ISBN : 9780821898666

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The Mathematics of Decisions, Elections, and Games by Karl-Dieter Crisman,Michael A. Jones Pdf

This volume contains the proceedings of two AMS Special Sessions on The Mathematics of Decisions, Elections, and Games, held January 4, 2012, in Boston, MA, and January 11-12, 2013, in San Diego, CA. Decision theory, voting theory, and game theory are three intertwined areas of mathematics that involve making optimal decisions under different contexts. Although these areas include their own mathematical results, much of the recent research in these areas involves developing and applying new perspectives from their intersection with other branches of mathematics, such as algebra, representation theory, combinatorics, convex geometry, dynamical systems, etc. The papers in this volume highlight and exploit the mathematical structure of decisions, elections, and games to model and to analyze problems from the social sciences.

Mathematical Foundations of Computer Science 2008

Edward Ochmanski,Jerzy Tyszkiewicz
Mathematical Foundations of Computer Science 2008 Book PDF

Author : Edward Ochmanski,Jerzy Tyszkiewicz
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 42,9 Mb
Release : 2008-08-12
Category : Computers
ISBN : 9783540852377

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Mathematical Foundations of Computer Science 2008 by Edward Ochmanski,Jerzy Tyszkiewicz Pdf

This book constitutes the refereed proceedings of the 33rd International Symposium on Mathematical Foundations of Computer Science, MFCS 2008, held in Torun, Poland, in August 2008. The 45 revised full papers presented together with 5 invited lectures were carefully reviewed and selected from 119 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, ranging from algorithmic game theory, algorithms and data structures, artificial intelligence, automata and formal languages, bioinformatics, complexity, concurrency and petrinets, cryptography and security, logic and formal specifications, models of computations, parallel and distributed computing, semantics and verification.

Voting Paradoxes and Group Coherence

William V. Gehrlein,Dominique Lepelley
Voting Paradoxes and Group Coherence Book PDF

Author : William V. Gehrlein,Dominique Lepelley
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 47,7 Mb
Release : 2010-11-11
Category : Business & Economics
ISBN : 9783642031076

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Voting Paradoxes and Group Coherence by William V. Gehrlein,Dominique Lepelley Pdf

The likelihood of observing Condorcet's Paradox is known to be very low for elections with a small number of candidates if voters’ preferences on candidates reflect any significant degree of a number of different measures of mutual coherence. This reinforces the intuitive notion that strange election outcomes should become less likely as voters’ preferences become more mutually coherent. Similar analysis is used here to indicate that this notion is valid for most, but not all, other voting paradoxes. This study also focuses on the Condorcet Criterion, which states that the pairwise majority rule winner should be chosen as the election winner, if one exists. Representations for the Condorcet Efficiency of the most common voting rules are obtained here as a function of various measures of the degree of mutual coherence of voters’ preferences. An analysis of the Condorcet Efficiency representations that are obtained yields strong support for using Borda Rule.

Handbook on Approval Voting

Jean-François Laslier,M. Remzi Sanver
Handbook on Approval Voting Book PDF

Author : Jean-François Laslier,M. Remzi Sanver
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 53,5 Mb
Release : 2010-06-25
Category : Business & Economics
ISBN : 9783642028397

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Handbook on Approval Voting by Jean-François Laslier,M. Remzi Sanver Pdf

With approval voting, voters can approve of as many candidates as they want, and the one approved by the most voters wins. This book surveys a wide variety of empirical and theoretical knowledge accumulated from years of studying this method of voting.

Finite Ordered Sets

Nathalie Caspard,Bruno Leclerc,Bernard Monjardet
Finite Ordered Sets Book PDF

Author : Nathalie Caspard,Bruno Leclerc,Bernard Monjardet
Publisher : Cambridge University Press
Page : 351 pages
File Size : 51,9 Mb
Release : 2012-01-26
Category : Mathematics
ISBN : 9781107013698

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Finite Ordered Sets by Nathalie Caspard,Bruno Leclerc,Bernard Monjardet Pdf

A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.