Mathematical Analyses Of Decisions Voting And Games

Author : Michael A. Jones,David McCune,Jennifer M. Wilson
Publisher : American Mathematical Society
Page : 210 pages
File Size : 54,8 Mb
Release : 2024-03-25
Category : Mathematics
ISBN : 9781470469788

Get Book

Mathematical Analyses of Decisions, Voting and Games by Michael A. Jones,David McCune,Jennifer M. Wilson Pdf

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.

Author : Karl-Dieter Crisman,Michael A. Jones
Publisher : Unknown
Page : 229 pages
File Size : 40,9 Mb
Release : 2014
Category : Game theory
ISBN : 1470419300

Get Book

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

Author : Steven J. Brams
Publisher : Unknown
Page : 396 pages
File Size : 52,6 Mb
Release : 2008
Category : Business & Economics
ISBN : UVA:X030355666

Get Book

Mathematics and Democracy by Steven J. Brams Pdf

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.

Author : R. Duncan Luce,Howard Raiffa
Publisher : Courier Corporation
Page : 548 pages
File Size : 50,7 Mb
Release : 1989-04-01
Category : Mathematics
ISBN : 9780486659435

Get Book

Games and Decisions by R. Duncan Luce,Howard Raiffa Pdf

"The best book available for non-mathematicians." — Contemporary Psychology. Superb nontechnical introduction to game theory and related disciplines, primarily as applied to the social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, much more. Appendixes. Bibliography. Graphs and figures.

Author : A. C. C. Coolen
Publisher : OUP Oxford
Page : 344 pages
File Size : 45,6 Mb
Release : 2005-01-06
Category : Business & Economics
ISBN : 9780191545504

Get Book

The Mathematical Theory of Minority Games by A. C. C. Coolen Pdf

Minority games are simple mathematical models initially designed to understand the co-operative phenomena observed in markets. Their core ingredients are large numbers of interacting decision-making agents, each aiming for personal gain in an artificial `market' by trying to anticipate (on the basis of incomplete information, and with an element of irrationality) the actions of others. Gain is made by those who subsequently find themselves in the minority group, e.g. those who end up buying when most wish to sell or vice versa. Aimed at researchers and students in physics, mathematics and economics this text describes the mathematical theory of Minority Games from a statistical mechanics viewpoint. It provides a detailed and explicit introduction to the advanced mathematical analysis of these models, describes the potential and restrictions of physical methods in solving agent based market models, and outlines how different mathematical approaches are related.

Author : Mostapha Diss,Vincent Merlin
Publisher : Springer Nature
Page : 412 pages
File Size : 50,6 Mb
Release : 2020-12-18
Category : Business & Economics
ISBN : 9783030485986

Get Book

Evaluating Voting Systems with Probability Models by Mostapha Diss,Vincent Merlin Pdf

This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters’ behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.

Author : Samuel B. Smith
Publisher : Cambridge University Press
Page : 393 pages
File Size : 54,5 Mb
Release : 2015-06-29
Category : Business & Economics
ISBN : 9781107084520

Get Book

Chance, Strategy, and Choice by Samuel B. Smith Pdf

This classroom-tested undergraduate textbook is intended for a general education course in game theory at the freshman or sophomore level. While it starts off with the basics and introduces the reader to mathematical proofs, this text also presents several advanced topics, including accessible proofs of the Sprague-Grundy Theorem and Arrow's Impossibility Theorem.

Author : Mehdi Soltanifar,Hamid Sharafi,Farhad Hosseinzadeh Lotfi,Witold Pedrycz,Tofigh Allahviranloo
Publisher : Springer Nature
Page : 190 pages
File Size : 41,9 Mb
Release : 2023-05-19
Category : Technology & Engineering
ISBN : 9783031304033

Get Book

Preferential Voting and Applications: Approaches Based on Data Envelopment Analysis by Mehdi Soltanifar,Hamid Sharafi,Farhad Hosseinzadeh Lotfi,Witold Pedrycz,Tofigh Allahviranloo Pdf

This book presents the theory and application of the models presented in this regard and establishes a meaningful relationship between data envelopment analysis and multi-attribute decision making. The issue of "choice" using the aggregation of voters' votes is one of the most important group decision-making issues that are always considered by decision makers in electoral systems. Voting is a method of group decision making in a democratic society that expresses the will of the majority. Voting is perhaps the simplest way to gather the opinions of experts, and this ease of application has made it a multi-attribute decision-making method in group decisions. Preferential voting is a type of voting that may refer to electoral systems or groups of the electoral system. In preferential voting, voters vote for multiple candidates, and how the candidates are arranged on the ballot is important. Researchers have made many efforts to provide models of voter aggregation, and one of the best results of these efforts is the aggregation of votes based on the policy of data envelopment analysis. Thus, in group decisions, the opinions of experts are obtained in a simple structure and consolidated in an interactive and logical structure, and the results can be a powerful tool for decision support. This book provides a complete set of voting models based on data envelopment analysis and expressing its various applications in industry and society. However, most decision-making methods do not use the opinions of experts or reduce the motivation of experts to participate in complex interactions and time, while voting methods do not have this shortcoming. This book is suitable for graduate students in the fields of industrial management, business management, industrial engineering, applied mathematics, and economics. It can also be a good source for researchers in decision science, decision support systems, data envelopment analysis, supply chain management, healthcare management, and others. The methods presented in this book can not only offer a comprehensive framework for solving the problems of these areas but also can inspire researchers to pursue new innovative hybrid methods.

Author : Karl-Dieter Crisman,Michael A. Jones
Publisher : American Mathematical Society
Page : 242 pages
File Size : 54,9 Mb
Release : 2014-08-29
Category : Mathematics
ISBN : 9780821898666

Get Book

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.

Author : Nicola Friederike Maaser
Publisher : Springer Science & Business Media
Page : 141 pages
File Size : 48,7 Mb
Release : 2010-01-22
Category : Mathematics
ISBN : 9783642041532

Get Book

Decision-Making in Committees by Nicola Friederike Maaser Pdf

Political and economic institutions are typically governed by committees that face the challenge to reconcile the preferences of their members. How should decision rules be designed to generate fair and sustainable agreements, for example if committee members represent groups of different sizes? This book uses game-theoretic concepts and models to address the issue of political decision-making processes. In addition to providing a survey on basic game-theoretic tools in the analysis of political decisions, the author looks at specific issues such as two-tiered voting systems or the influence of lobbyists on legislative committees, and shows how the models can be applied to real-world contexts such as the EU decision-making institutions.

Author : Sangita Jha,Mrinal Kanti Roychowdhury,Saurabh Verma
Publisher : American Mathematical Society
Page : 270 pages
File Size : 43,7 Mb
Release : 2024-04-18
Category : Mathematics
ISBN : 9781470472160

Get Book

Recent Developments in Fractal Geometry and Dynamical Systems by Sangita Jha,Mrinal Kanti Roychowdhury,Saurabh Verma Pdf

This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14–15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.

Author : K. A. Brown,T. J. Hodges,M. Vancliff,J. J. Zhang
Publisher : American Mathematical Society
Page : 288 pages
File Size : 55,5 Mb
Release : 2024-05-30
Category : Mathematics
ISBN : 9781470472399

Get Book

Recent Advances in Noncommutative Algebra and Geometry by K. A. Brown,T. J. Hodges,M. Vancliff,J. J. Zhang Pdf

This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.

Author : David A. Blackwell,M. A. Girshick
Publisher : Courier Corporation
Page : 388 pages
File Size : 48,6 Mb
Release : 1979-09-01
Category : Mathematics
ISBN : 9780486638317

Get Book

Theory of Games and Statistical Decisions by David A. Blackwell,M. A. Girshick Pdf

A problem-oriented text for evaluating statistical procedures through decision and game theory. First-year graduates in statistics, computer experts and others will find this highly respected work best introduction to growing field.

Author : Yasuo Narukawa,Masahiro Inuiguchi
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 49,7 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9783642048197

Get Book

Modeling Decisions for Artificial Intelligence by Yasuo Narukawa,Masahiro Inuiguchi Pdf

This volume contains papers presented at the 6th International Conference on ModelingDecisionsforArti?cialIntelligence(MDAI2009),heldinAwajiIsland, Japan, November 30 – December 2, 2009. This conference followed MDAI 2004 (Barcelona, Catalonia), MDAI 2005 (Tsukuba, Japan), MDAI 2006 (Tarragona, Catalonia), MDAI 2007 (Kitakyushu, Japan), and MDAI 2008 (Sabadell, C- alonia) with proceedings also published in the LNAI series (Vols. 3131, 3558, 3885, 4617, and 5285). The aim of this conference was to provide a forum for researchers to d- cuss the theory and tools for modeling decisions, as well as applications that encompass decision-making processes and information-fusion techniques. The organizers received 61 papers from 15 di?erent countries, from Asia, Europe,andAmerica,28ofwhicharepublishedinthis volume.Eachsubmission received at least two reviews from the Program Committee and a few external reviewers. We would like to express our gratitude to them for their work. The plenary talks presented at the conference are also included in this volume. The conference was supported by the Commemorative Organization for The JapanWorldExposition'70,the TsutomuNakauchiFoundation,HyogoInter- tional Association, the Institute of Systems, Control and Information Engineers (ISCIE),the OperationsResearchSocietyofJapan(ORSJ),the UNESCO Chair in Data Privacy, the Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT), the Catalan Association for Arti?cial Intelligence (ACIA), the Eu- pean Society for Fuzzy Logic and Technology (EUSFLAT), and the Spanish MEC (ARES - CONSOLIDER INGENIO 2010 CSD2007-00004).

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814471244

Get Book

Mathematical Programming and Game Theory for Decision Making by Anonim Pdf