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The Complexity of Justified Representation with Additive Utilities
Carmel Baharav, Jakob de Raaij, Agnès Totschnig
We study the computational complexity of satisfying proportional representation -- in particular proportional, extended, and fully justified representation (PJR, EJR, and FJR) -- i…
The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions
Carmel Baharav, Niclas Boehmer, Bailey Flanigan +1
AI alignment and participatory design motivate a new democratic design problem: how to collectively choose a decision rule to use repeatedly. We study this problem for linear ranki…
Condorcet Winners and Anscombes Paradox Under Weighted Binary Voting
Carmel Baharav, Andrei Constantinescu, Roger Wattenhofer
We consider voting on multiple independent binary issues. In addition, a weighting vector for each voter defines how important they consider each issue. The most natural way to agg…