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Publisher’s 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Kilgour, D. Marc; Brams, Steven J., When to stop consulting, 1-14 [Zbl 1541.90204]
Brams, Steven J.; Mor, Ben D., How lies induced cooperation in Golden Balls: a game-theoretic analysis, 15-22 [Zbl 1537.91006]
Graham-Squire, Adam, Conditions for fairness anomalies in instant-runoff voting, 23-36 [Zbl 1537.91095]
Mazur, Kristen; Sondjaja, Mutiara; Wright, Matthew; Yarnall, Carolyn, Piercing numbers in circular societies, 37-56 [Zbl 1537.91090]
Crisman, Karl-Dieter; Holleran, Abraham; Martin, Micah; Noonan, Josephine, Voting on cyclic orders, group theory, and ballots, 57-86 [Zbl 1537.91088]
Holliday, Wesley H.; Norman, Chase; Pacuit, Eric; Zahedian, Saam, Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting, 87-135 [Zbl 1537.91096]
Saari, Donald G., Connecting Arrow’s theorem, voting theory, and the traveling salesperson problem, 137-152 [Zbl 1537.91098]
Jones, Michael A.; McCune, David; Wilson, Jennifer, An iterative procedure for apportionment and its use in the 2016 Georgia Republican primary, 153-187 [Zbl 1537.91233]
Brams, Steven J.; Ismail, Mehmet S., Double moves by each player in chess openings make the game fairer, 189-197 [Zbl 1537.91058]