| Softcover ISBN: | 978-1-4704-6978-8 |
| Product Code: | CONM/795 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-7608-3 |
| Product Code: | CONM/795.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-6978-8 |
| eBook: ISBN: | 978-1-4704-7608-3 |
| 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: | 978-1-4704-6978-8 |
| Product Code: | CONM/795 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-7608-3 |
| Product Code: | CONM/795.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-6978-8 |
| eBook ISBN: | 978-1-4704-7608-3 |
| 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 |
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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.
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Table of Contents
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Articles
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D. Marc Kilgour and Steven J. Brams — When to stop consulting
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Steven J. Brams and Ben D. Mor — How lies induced cooperation in Golden Balls: A game-theoretic analysis
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Adam Graham-Squire — Conditions for fairness anomalies in instant-runoff voting
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Kristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall — Piercing numbers in circular societies
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Karl-Dieter Crisman, Abraham Holleran, Micah Martin and Josephine Noonan — Voting on cyclic orders, group theory, and ballots
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Wesley H. Holliday, Chase Norman, Eric Pacuit and Saam Zahedian — Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting
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Donald G. Saari — Connecting Arrow’s Theorem, voting theory, and the Traveling Salesperson Problem
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Michael A. Jones, David McCune and Jennifer Wilson — An iterative procedure for apportionment and its use in the 2016 Georgia Republican primary
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Steven J. Brams and Mehmet S. Ismail — Double moves by each player in chess openings make the game fairer
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 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
