A distributed voting scheme to maximize preferences

Peter Auer; Nicolò Cesa-Bianchi

RAIRO - Theoretical Informatics and Applications (2006)

  • Volume: 40, Issue: 2, page 389-403
  • ISSN: 0988-3754

Abstract

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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.

How to cite

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Auer, Peter, and Cesa-Bianchi, Nicolò. "A distributed voting scheme to maximize preferences." RAIRO - Theoretical Informatics and Applications 40.2 (2006): 389-403. <http://eudml.org/doc/249623>.

@article{Auer2006,
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. },
author = {Auer, Peter, Cesa-Bianchi, Nicolò},
journal = {RAIRO - Theoretical Informatics and Applications},
language = {eng},
month = {7},
number = {2},
pages = {389-403},
publisher = {EDP Sciences},
title = {A distributed voting scheme to maximize preferences},
url = {http://eudml.org/doc/249623},
volume = {40},
year = {2006},
}

TY - JOUR
AU - Auer, Peter
AU - Cesa-Bianchi, Nicolò
TI - A distributed voting scheme to maximize preferences
JO - RAIRO - Theoretical Informatics and Applications
DA - 2006/7//
PB - EDP Sciences
VL - 40
IS - 2
SP - 389
EP - 403
AB - 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.
LA - eng
UR - http://eudml.org/doc/249623
ER -

References

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  8. E. Ephrati and J.S. Rosenschein, Reaching agreement through partial revelation of preferences, in Proceedings of the 10th European Conference on Artificial Intelligence (1992) 229–233.  
  9. C.H. Papadimitriou and M. Yannakakis, On the value of information in distributed decision making, in Proceedings of the 10th ACM Symposium on Principles of Distributed Computing. ACM Press (1991) 61–64.  Zbl1314.91068
  10. C.H. Papadimitriou and M. Yannakakis, Linear programming without the matrix, in Proceedings of the 25th ACM Symposium on the Theory of Computing. ACM Press (1993) 121–129.  Zbl1310.90073
  11. D. Pollard, Convergence of Stochastic Processes. Springer (1984).  Zbl0544.60045

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