122 citations · 256 across the 36 of their papers we have counts for
4 papers · 1 filter
Clone Structures in Voters' Preferences
Edith Elkind, Piotr Faliszewski, Arkadii Slinko
In elections, a set of candidates ranked consecutively (though possibly in different order) by all voters is called a clone set, and its members are called clones. A clone structur…
Simplicial Complexes Obtained from Qualitative Probability Orders
Paul H. Edelman, Tatyana Gvozdeva, Arkadii Slinko
In this paper we inititate the study of abstract simplicial complexes which are initial segments of qualitative probability orders. This is a natural class that contains the thresh…
On the Number of Facets of Polytopes Representing Comparative Probability Orders
Ilya Chevyrev, Dominic Searles, Arkadii Slinko
Fine and Gill (1973) introduced the geometric representation for those comparative probability orders on n atoms that have an underlying probability measure. In this representation…
Hierarchical Simple Games: Representations and Weightedness
Tatiana Gvozdeva, Ali Hameed, Arkadii Slinko
In many situations, both in human and artificial societies, cooperating agents have different status with respect to the activity and it is not uncommon that certain actions are on…