ntop
New Candidates Welcome! Possible Winners with respect to the Addition of New Candidates
Chevaleyre, Yann, Lang, Jérôme, Maudet, Nicolas, Monnot, Jérôme, Xia, Lirong
In voting contexts, some new candidates may show up in the course of the process. In this case, we may want to determine which of the initial candidates are possible winners, given that a fixed number $k$ of new candidates will be added. We give a computational study of this problem, focusing on scoring rules, and we provide a formal comparison with related problems such as control via adding candidates or cloning.
Possible Winners when New Candidates Are Added: The Case of Scoring Rules
Chevaleyre, Yann (University of Paris-Dauphine) | Lang, Jérôme (University of Paris-Dauphine) | Maudet, Nicolas (University of Paris-Dauphine) | Monnot, Jérôme (University of Paris-Dauphine)
In some voting situations, some new candidates may show up in the course of the process. In this case, we may want to determine which of the initial candidates are possible winners, given that a fixed number k of new candidates will be added. Focusing on scoring rules, we give complexity results for the above possible winner problem.
Compiling the Votes of a Subelectorate
Chevaleyre, Yann (LAMSADE, Univ. Paris-Dauphine) | Lang, Jérôme (LAMSADE, Univ. Paris-Dauphine) | Maudet, Nicolas (LAMSADE, Univ. Paris-Dauphine) | Ravilly-Abadie, Guillaume (LAMSADE, Univ. Paris-Dauphine)
In many practical contexts where a number of agents have to find a common decision, the votes do not come all together at the same time. In such situations, we may want to preprocess the information given by the subelectorate (consisting of the voters who have expressed their votes) so as to ``compile'' the known votes for the time when the latecomers have expressed their votes. We study the amount of space necessary for such a compilation, as a function of the voting rule, the number of candidates, and the number of votes already known. We relate our results to existing work, especially on communication complexity.