Title
Random Selection with an Adversarial Majority
Abstract
We consider the problem of random selection, where p play- ers follow a protocol to jointly select a random element of a universe of size n. However, some of the players may be adversarial and col- lude to force the output to lie in a small subset of the universe. We describe essentially the flrst protocols that solve this problem in the presence of a dishonest majority in the full-information model (where the adversary is computationally unbounded and all communication is via non-simultaneous broadcast). Our protocols are nearly optimal in several parameters, including the round complexity (as a function of n), the randomness complexity, the communication complexity, and the tradeofis between the fraction of honest players, the probability that the output lies in a small subset of the universe, and the density of this subset.
Year
DOI
Venue
2006
10.1007/11818175_25
Electronic Colloquium on Computational Complexity (ECCC)
Field
DocType
Volume
Computer science,Theoretical computer science,Sampling (statistics),Adversarial system
Journal
13
Issue
ISSN
ISBN
026
0302-9743
3-540-37432-9
Citations 
PageRank 
References 
17
0.86
35
Authors
3
Name
Order
Citations
PageRank
Ronen Gradwohl1707.84
Salil P. Vadhan24676234.84
David Zucherman32588266.65