Mathematical Analyses of Decisions, Voting and Games
Published on 31. May 2024
Book
Paperback/Softback
198 pages
978-1-4704-6978-8 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
185 gr
ISBN-13
978-1-4704-6978-8 (9781470469788)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Michael A. Jones, Mathematical Reviews, American Mathematical Society, Ann Arbor, MI.
David McCune, William-Jewell College, Liberty, MO.
Jennifer M. Wilson, Eugene Lange College, The New School, New York, NY.
David McCune, William-Jewell College, Liberty, MO.
Jennifer M. Wilson, Eugene Lange College, The New School, New York, NY.
Content
Articles
D. Marc Kilgour and Steven J. Brams, When to stop consulting
Steven J. Brams and Ben D. Mor, How lies induced cooperation in Golden Balls: A game-theoretic analysis
Adam Graham-Squire, Conditions for fairness anomalies in instant-runoff voting
Kristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall, Piercing numbers in circular societies
Karl-Dieter Crisman, Abraham Holleran, Micah Martin and Josephine Noonan, Voting on cyclic orders, group theory, and ballots
Wesley H. Holliday, Chase Norman, Eric Pacuit and Saam Zahedian, Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting
Donald G. Saari, Connecting Arrow's Theorem, voting theory, and the Traveling Salesperson Problem
Michael A. Jones, David McCune and Jennifer Wilson, An iterative procedure for apportionment and its use in the 2016 Georgia Republican primary
Steven J. Brams and Mehmet S. Ismail, Double moves by each player in chess openings make the game fairer
D. Marc Kilgour and Steven J. Brams, When to stop consulting
Steven J. Brams and Ben D. Mor, How lies induced cooperation in Golden Balls: A game-theoretic analysis
Adam Graham-Squire, Conditions for fairness anomalies in instant-runoff voting
Kristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall, Piercing numbers in circular societies
Karl-Dieter Crisman, Abraham Holleran, Micah Martin and Josephine Noonan, Voting on cyclic orders, group theory, and ballots
Wesley H. Holliday, Chase Norman, Eric Pacuit and Saam Zahedian, Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting
Donald G. Saari, Connecting Arrow's Theorem, voting theory, and the Traveling Salesperson Problem
Michael A. Jones, David McCune and Jennifer Wilson, An iterative procedure for apportionment and its use in the 2016 Georgia Republican primary
Steven J. Brams and Mehmet S. Ismail, Double moves by each player in chess openings make the game fairer