Mathematics of Voting and Representation (A Mathematics for Humanity Workshop)

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Mathematics of Voting and Representation (A Mathematics for Humanity Workshop)

 10 - 14 Jun 2024

Edinburgh Futures Institute

Scientific Organisers:

  • Jeanne Clelland, University of Colorado Boulder
  • David McCune, William Jewell College
  • Michael Singer, University College London
  • Ismar Volić, Wellesley College

About:

In broad terms, this workshop centered on topics that lie in the intersection of mathematics and democracy. There are various strands of activity in this area, some more recent and some classical; for example, modern social choice theory has been around in some form since the 1780s, while rigorous mathematical approaches to districting are a recent development. Despite the differences in history and techniques, topics such as voting, representation, and districting have a common thread – they are motivated by the notion that mathematics can play an important role in making democracy work better for everyone. There is consequently a growing awareness that interweaving the research – and consequently the events featuring it – in these areas is desirable and necessary. This workshop was guided by this principle.

This workshop aimed to be interdisciplinary, bringing together researchers in the fields of computer science, economics, mathematics, and political science. The main themes of the workshop were

·      Social Choice (theoretical and computational)

·      Proportional representation

·      Districting

Programme:

MONDAY 10 JUNE 2024
Registration and refreshments
Welcome and housekeeping
Hervé Moulin, University of Glasgow Fair mixing and participatory democracy
Refreshments
Adam Graham-Squire, High Point University Anomalies and Manipulation in Scottish Single Transferable Vote Elections
Lunch
Christian Klamler, University of Graz An Analysis of the Styrian Parliamentary Elections in 2015 and 2019 Using Different (Theoretical) Approaches
Refreshments
Eric Maskin, Harvard University A Resolution of Arrow’s Impossibility Theorem
Welcome Reception
TUESDAY 11 JUNE 2024
Markus Brill, University of Warwick Proportional Representation Beyond Elections
Refreshments
Mostapha Diss, University of Franche-Comte On the price of diversity for multi-winner elections under (weakly) separable scoring rules.
Lunch
Friedrich Pukelsheim, University of Augsburg Composition of the European Parliament
Refreshments
Moon Duchin, Cornell University Preferences and proportionality
Public Lecture Will of the People: The Mathematics of How We Vote and Why It Matters
WEDNESDAY 12 JUNE 2024
Sarah Cannon, Claremont McKenna College Understanding Districting via Random Sampling
Daryl DeFord, Washington State University Local Walks on Trees and Evaluating Non-Partisan Tradeoffs in Redistricting
Refreshments
Short presentations on computational tools in voting, representation, and related fields Jeanne Cleland, Moon Duchin, David McCune & Ulle Endriss
Lunch and Free Afternoon
THURSDAY 13 JUNE 2024
Ulle Endriss, ILLC, University of Amsterdam Automated reasoning for social choice theory
Zoi Terzopoulou, Saint-Etienne School of Economics Ranking rankings: Forming preferences on others based on others' preferences on us, and applications in social choice
Refreshments
Edith Elkind, University of Oxford and Alan Turing Institute An Adaptive and Verifiably Proportional Method for Participatory Budgeting
Lunch
Beth Malmskog, Colorado College Colorado: An Ensemble Analysis Case Study
Refreshments
Anthony McGann, University of Strathclyde PR and FPTP as systems of representation and AI
FRIDAY 14 JUNE 2024
Kris Tapp, St. Joseph's University Ballot Clustering Algorithms
Ellen Veomett, University of San Francisco Analyzing metrics to detect gerrymandering via short bursts
Lunch and End of Workshop