The Mathematics Of Decisions Elections And Games
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The Mathematics Of Decisions Elections And Games
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Author : Karl-Dieter Crisman
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-29
The Mathematics Of Decisions Elections And Games written by Karl-Dieter Crisman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-29 with Mathematics categories.
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 Analyses Of Decisions Voting And Games
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Author : Michael A. Jones
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-25
Mathematical Analyses Of Decisions Voting And Games written by Michael A. Jones and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Mathematics categories.
This volume contains the proceedings of the virtual AMS Special Session on Mathematics of Decisions, Elections and Games, held on April 8, 2022. Decision theory, voting theory, and game theory are three related areas of mathematics that involve making optimal decisions in different contexts. While these three areas are distinct, much of the recent research in these fields borrows techniques from other branches of mathematics such as algebra, combinatorics, convex geometry, logic, representation theory, etc. The papers in this volume demonstrate how the mathematics of decisions, elections, and games can be used to analyze problems from the social sciences.
The Mathematics Of Decisions Elections And Games
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Author : Karl-Dieter Crisman
language : en
Publisher:
Release Date : 2014
The Mathematics Of Decisions Elections And Games written by Karl-Dieter Crisman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Game theory categories.
Coordinate Systems For Games
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Author : Daniel T. Jessie
language : en
Publisher: Springer Nature
Release Date : 2019-12-13
Coordinate Systems For Games written by Daniel T. Jessie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-13 with Mathematics categories.
This monograph develops a method of creating convenient coordinate systems for game theory that will allow readers to more easily understand, analyze, and create games at various levels of complexity. By identifying the unique characterization of games that separates the individual’s strategic interests from the group’s collective behavior, the authors construct a single analytical methodology that readers will be able to apply to a wide variety of games. With its emphasis on practicality and approachability, readers will find this book an invaluable tool, and a viable alternative to the ad hoc analytical approach that has become customary for researchers utilizing game theory. The introductory chapters serve two important purposes: they review several games of fundamental importance, and also introduce a dynamic that is inherent in games, but has gone unexplored until now. After this has been established, readers will advance from simple 2 x 2 games to games with more player strategies and dynamics. For interested readers, a rigorous treatment of the underlying mathematics is conveniently gathered at the end of the book. Additional topics of interest, such as extensive form and coalitional games, are presented to help readers visualize more complex settings that will be vital in aiding the understanding of advanced topics, such as coalition-free Nash points, multi-player repeated games, and more. Coordinate Systems for Games is ideal for a wide variety of researchers interested in game theory, including social scientists, economists, mathematicians, computer scientists, and more. The authors' approachable style also makes this accessible to an audience at any scale of experience, from beginning non-specialists to more practiced researchers.
The Oxford Handbook Of Public Choice Volume 1
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Author : Roger D. Congleton
language : en
Publisher: Oxford University Press
Release Date : 2018-12-07
The Oxford Handbook Of Public Choice Volume 1 written by Roger D. Congleton and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Business & Economics categories.
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.
Mathematics And Democracy
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Author : Steven J. Brams
language : en
Publisher: Princeton University Press
Release Date : 2009-12-02
Mathematics And Democracy written by Steven J. Brams and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Science categories.
Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.
Decisions And Elections
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Author : Donald Saari
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-22
Decisions And Elections written by Donald Saari and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-22 with Business & Economics categories.
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.
Behavioral Game Theory
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Author : Russell Golman
language : en
Publisher: MDPI
Release Date : 2021-01-07
Behavioral Game Theory written by Russell Golman and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-07 with Business & Economics categories.
How do interacting decision-makers make strategic choices? If they’re rational and can somehow predict each other’s behavior, they may find themselves in a Nash equilibrium. However, humans display pervasive and systematic departures from rationality. They often do not conform to the predictions of the Nash equilibrium, or its various refinements. This has led to the growth of behavioral game theory, which accounts for how people actually make strategic decisions by incorporating social preferences, bounded rationality (for example, limited iterated reasoning), and learning from experience. This book brings together new advances in the field of behavioral game theory that help us understand how people actually make strategic decisions in game-theoretic situations.
Mathematical Programming And Game Theory For Decision Making
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Author : S K Neogy
language : en
Publisher: World Scientific
Release Date : 2008-04-28
Mathematical Programming And Game Theory For Decision Making written by S K Neogy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-28 with Mathematics categories.
This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications.
The Oxford Handbook Of Public Choice
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Author : Roger D. Congleton
language : en
Publisher:
Release Date : 2019
The Oxford Handbook Of Public Choice written by Roger D. Congleton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Business & Economics categories.
"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"--