We study the problem of designing a distributed voting scheme for electing a candidate that maximizes the preferences of a set of agents. We assume the preference of agent for candidate is a real number , and we do not make any assumptions on the mechanism generating these preferences. We show simple randomized voting schemes guaranteeing the election of a candidate whose expected total preference is nearly the highest among all candidates. The algorithms we consider are designed so that each agent has to disclose only a few bits of information from his preference table. Finally, in the important special case in which each agent is forced to vote for at most one candidate we show that our voting scheme is essentially optimal.
@article{ITA_2006__40_2_389_0,
author = {Auer, Peter and Cesa-Bianchi, Nicol\`o},
title = {A distributed voting scheme to maximize preferences},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {389--403},
publisher = {EDP-Sciences},
volume = {40},
number = {2},
year = {2006},
doi = {10.1051/ita:2006015},
mrnumber = {2252646},
zbl = {1112.68133},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ita:2006015/}
}
TY - JOUR AU - Auer, Peter AU - Cesa-Bianchi, Nicolò TI - A distributed voting scheme to maximize preferences JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2006 SP - 389 EP - 403 VL - 40 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita:2006015/ DO - 10.1051/ita:2006015 LA - en ID - ITA_2006__40_2_389_0 ER -
%0 Journal Article %A Auer, Peter %A Cesa-Bianchi, Nicolò %T A distributed voting scheme to maximize preferences %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2006 %P 389-403 %V 40 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita:2006015/ %R 10.1051/ita:2006015 %G en %F ITA_2006__40_2_389_0
Auer, Peter; Cesa-Bianchi, Nicolò. A distributed voting scheme to maximize preferences. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 2, pp. 389-403. doi : 10.1051/ita:2006015. http://archive.numdam.org/articles/10.1051/ita:2006015/
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