The mathematics of decisions, elections, and games : AMS Special Sessions on the Mathematics of Decisions, Elections, and Games, January 4, 2012, Boston, MA, January 11-12, 2013, San Diego, CA
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Bibliographic Information
The mathematics of decisions, elections, and games : AMS Special Sessions on the Mathematics of Decisions, Elections, and Games, January 4, 2012, Boston, MA, January 11-12, 2013, San Diego, CA
（Contemporary mathematics, 624）
American Mathematical Society, c2014
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
U.S.A./2012-M/Proc.2080359643
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Includes bibliographical references
Description and Table of Contents
Description
This volume contains the proceedings of two AMS Special Sessions on The Mathematics of Decisions, Elections, and Games, held January 4, 2012, in Boston, MA, USA and January 11-12, 2013, in San Diego, CA, USA.
Decision theory, voting theory, and game theory are three intertwined areas of mathematics that involve making optimal decisions under different contexts. Although these areas include their own mathematical results, much of the recent research in these areas involves developing and applying new perspectives from their intersection with other branches of mathematics, such as algebra, representation theory, combinatorics, convex geometry, dynamical systems, etc.
The papers in this volume highlight and exploit the mathematical structure of decisions, elections, and games to model and to analyze problems from the social sciences.
Table of Contents
Redistricting and district compactness by C. Corcoran and K. Saxe
Fair division and redistricting by Z. Landau and F. E. Su
When does approval voting make the `right choices'? by S. J. Brams and D. M. Kilgour
How indeterminate is sequential majority voting? A judgement aggregation perspective by K. Nehring and M. Pivato
Weighted voting, threshold functions, and zonotopes by C. Stenson
The Borda count, the Kemeny rule and the permutahedron by K.-D. Crisman
Double-interval societies by M. M. Klawe, K. L. Nyman, J. N. Scott, and F. E. Su
Voting for committees in agreeable societies by M. Davis, M. E. Orrison, and F. E. Su
Selecting diverse committees with candidates from multiple categories by T. C. Ratliff
Expanding the Robinson-Goforth system for 2x2 games by B. Hopkins
Cooperation in n-player repeated games by D. T. Jessie and D. G. Saari
The dynamics of consistent bankruptcy rules by M. A. Jones and J. M. Wilson
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