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Titel
Mathematical analyses of decisions, voting and games : AMS Special Session : Mathematics of Decisions, Elections and Games, April 8, 2022, virtual / Michael A. Jones, David McCune, Jennifer M. Wilson, editors
HerausgeberJones, Michael A. ; McCune, David ; Wilson, Jennifer Mia
Name der KonferenzAMS Special Session Mathematics of Decisions, Elections and Games 2022 Online
ErschienenProvidence, Rhode Island : American Mathematical Society, 2024
Umfangix, 197 Seiten : Diagramme
Serie
Contemporary mathematics ; 795
SchlagwörterDecision making / Mathematical models / Congresses / Voting / Mathematical models / Congresses / Game theory / Congresses / Game theory, economics, social and behavioral sciences -- Proceedings, conferences, collections, etc / Operations research, mathematical programming -- Operations research and management science -- Transportation, logistics / Game theory, economics, social and behavioral sciences -- Game theory -- 2-person games / Game theory, economics, social and behavioral sciences -- Game theory -- Games in extensive form / Game theory, economics, social and behavioral sciences -- Game theory -- Combinatorial games / Game theory, economics, social and behavioral sciences -- Mathematical economics -- Decision theory / Game theory, economics, social and behavioral sciences -- Mathematical economics -- Voting theory / Game theory, economics, social and behavioral sciences -- Mathematical economics -- Social choice / Game theory, economics, social and behavioral sciences -- Mathematical economics -- Resource and cost allocation
URLzbMATH
ISBN9781470469788
Inhalt
When to stop consulting / D. Marc Kilgour and Steven J. Brams
How lies induced cooperation in "Golden Balls": A game-theoretic analysis / Steven J. Brams and Ben D. Mor
Conditions for fairness anomalies in instant-runoff voting / Adam Graham-Squire
Piercing numbers in circular societies / Kristen Mazur, Mutiara Sondjaja, Matthew Wright, and Carolyn Yarnall
Voting on cyclic orders, group theory, and ballots / Karl-Dieter Crisman, Abraham Holleran, Micah Martin, and Josephine Noonan
Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting / Wesley H. Holliday, Chase Norman, Eric Pacuit, and Saam Zahedian
Arrow's theorem, decision theory, and the traveling salesperson / Donald G. Saari
An iterative procedure for apportionment and its use in the Georgia Republican primary / Michael A. Jones, David McCune, and Jennifer M. Wilson
Double moves by each player in chess openings make the game fairer / Steven J. Brams and Mehmet S Ismail.
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Zusammenfassung
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.