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.
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
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.
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