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A distributed voting scheme to maximize preferences

Published online by Cambridge University Press:  20 July 2006

Peter Auer  and
Nicolò Cesa-Bianchi
Peter Auer
Affiliation:
Dept. of Mathematics and Information Technologies, University of Leoben, Austria.
Nicolò Cesa-Bianchi
Affiliation:
Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Italy; [email protected]
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Abstract

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 i for candidate j is a real number xi,j, 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.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 2: Alberto Bertoni: Climbing summits , April 2006 , pp. 389 - 403
Copyright
© EDP Sciences, 2006

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References

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