Mathematical Analyses of Decisions, Voting and Games

Häftad, Engelska, 2024

AvMichael A. Jones,David McCune,Jennifer M. Wilson

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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.

Produktinformation

Utgivningsdatum2024-05-31
Mått178 x 254 x undefined mm
Vikt185 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor198
FörlagAmerican Mathematical Society
ISBN9781470469788

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ArticlesD. Marc Kilgour and Steven J. Brams, When to stop consultingSteven J. Brams and Ben D. Mor, How lies induced cooperation in Golden Balls: A game-theoretic analysisAdam Graham-Squire, Conditions for fairness anomalies in instant-runoff votingKristen Mazur, Mutiara Sondjaja, Matthew Wright and Carolyn Yarnall, Piercing numbers in circular societiesKarl-Dieter Crisman, Abraham Holleran, Micah Martin and Josephine Noonan, Voting on cyclic orders, group theory, and ballotsWesley H. Holliday, Chase Norman, Eric Pacuit and Saam Zahedian, Impossibility theorems involving weakenings of expansion consistency and resoluteness in votingDonald G. Saari, Connecting Arrow's Theorem, voting theory, and the Traveling Salesperson ProblemMichael A. Jones, David McCune and Jennifer Wilson, An iterative procedure for apportionment and its use in the 2016 Georgia Republican primarySteven J. Brams and Mehmet S. Ismail, Double moves by each player in chess openings make the game fairer