Abstract
The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinions. In the classic model, it is assumed that all nodes have the same weight. We study voting protocols for heterogeneous weights with respect to fairness. A voting protocol is fair if the influence on the eventual outcome of a given participant is linear in its weight. Previous work used sampling with replacement to construct a fair voting scheme. However, it was shown that using greedy sampling, i.e., sampling with replacement until a given number of distinct elements is chosen, turns out to be more robust and performant.
In this paper, we study fairness of voting protocols with greedy sampling and propose a voting scheme that is asymptotically fair for a broad class of weight distributions. We complement our theoretical findings with numerical results and present several open questions and conjectures.
In this paper, we study fairness of voting protocols with greedy sampling and propose a voting scheme that is asymptotically fair for a broad class of weight distributions. We complement our theoretical findings with numerical results and present several open questions and conjectures.
Original language | English |
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Pages (from-to) | 999-1032 |
Number of pages | 34 |
Journal | Advances in Applied Probability |
Volume | 55 |
Issue number | 3 |
Early online date | May 2023 |
DOIs | |
Publication status | Published - 10 Sept 2023 |
Keywords
- Asymptotic fairness
- consensus protocol
- heterogeneous network
- Sybil protection
- voting scheme
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Information Systems
- Discrete Mathematics and Combinatorics
- Statistics and Probability
- Applied Mathematics