34 citations · 35 across the 4 of their papers we have counts for
4 papers
Noncoherent initial ideals in exterior algebras
Dominic Searles, Arkadii Slinko
We construct a noncoherent initial ideal of an ideal in the exterior algebra of order 6, answering a question of D. Maclagan (2000). We also give a method for constructing noncoher…
Fully Proportional Representation as Resource Allocation: Approximability Results
Piotr Skowron, Piotr Faliszewski, Arkadii Slinko
We model Monroe's and Chamberlin and Courant's multiwinner voting systems as a certain resource allocation problem. We show that for many restricted variants of this problem, under…
Roughly Weighted Hierarchical Simple Games
Ali Hameed, Arkadii Slinko
Hierarchical simple games - both disjunctive and conjunctive - are natural generalizations of simple majority games. They take their origin in the theory of secret sharing. Another…
Rationalizations of Condorcet-Consistent Rules via Distances of Hamming Type
Edith Elkind, Piotr Faliszewski, Arkadii Slinko
The main idea of the {\em distance rationalizability} approach to view the voters' preferences as an imperfect approximation to some kind of consensus is deeply rooted in social ch…