Softcover ISBN:  9781470469788 
Product Code:  CONM/795 
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eBook ISBN:  9781470476083 
Product Code:  CONM/795.E 
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AMS Member Price:  $103.20 
Softcover ISBN:  9781470469788 
eBook: ISBN:  9781470476083 
Product Code:  CONM/795.B 
List Price:  $264.00 $199.50 
MAA Member Price:  $237.60 $179.55 
AMS Member Price:  $211.20 $159.60 
Softcover ISBN:  9781470469788 
Product Code:  CONM/795 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
eBook ISBN:  9781470476083 
Product Code:  CONM/795.E 
List Price:  $129.00 
MAA Member Price:  $116.10 
AMS Member Price:  $103.20 
Softcover ISBN:  9781470469788 
eBook ISBN:  9781470476083 
Product Code:  CONM/795.B 
List Price:  $264.00 $199.50 
MAA Member Price:  $237.60 $179.55 
AMS Member Price:  $211.20 $159.60 

Book DetailsContemporary MathematicsVolume: 795; 2024; 197 ppMSC: Primary 91; 90
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.
ReadershipGraduate students and research mathematicians interested in apportionment theory, decision theory, game theory, and social choice theory.

Table of Contents

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 gametheoretic analysis

Adam GrahamSquire — Conditions for fairness anomalies in instantrunoff voting

Kristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall — Piercing numbers in circular societies

KarlDieter 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


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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.
Graduate students and research mathematicians interested in apportionment theory, decision theory, game theory, and social choice theory.

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 gametheoretic analysis

Adam GrahamSquire — Conditions for fairness anomalies in instantrunoff voting

Kristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall — Piercing numbers in circular societies

KarlDieter 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