Mathematical Analyses of Decisions, Voting and Games

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.